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CHAPTER 3
Logarithms
Q.No.1: What is scientific notation? Give one example.
Ans.
A number written in the form a x 10 n, where 1 < a < 10 and n is an integer, is
called the scientific notation. e.g.30600 = 3.06 x 10 4
Q.No.2: Define logarithm of a real number?
If ax = y, then x is called the logarithm of y to the base ‘a’ and is written as
Ans.
log 𝑎 y = x, where a > 0, a ≠ 1 and y > 0.
Q.No.3: What is common logarithm?
If the base of the logarithm is taken as 10, it is known as common logarithm or
Ans.
Briggesian logarithms. Common logarithm is also known as decadic logarithms
named after its base 10.
Q.No.4: What is natural logarithm?
If the base is taken as e, then it is known as natural or Naperian logarithm.
Ans.
Q.No.5: Define characteristics & mantissa of the logarithm of a number?
Ans.
Characteristics:
The integral part of the common logarithm of a number is
called the characteristics.
Mantissa:
The decimal part of the common logarithm of a number is called the mantissa.
Q.No.6: What is anti-logarithm?
The number whose logarithm is given is called antilogarithm.
Ans.
OR
if log 𝑎 y = x, then y is the antilogarithm of x, or y = antilog x
Q.No.7: Write down laws of logarithm?
Ans.
1. log a (mn) = log a m + log a n
m
2. log a ( ) = log a m − log a n
n
3. log a (m)n = n log a m
4. 𝑙og 𝑎 n = 𝑙og 𝑏 n × 𝑙og 𝑎 b
CHAPTER 4
Algebraic Expressions and Algebraic Formulas
Q.No.1: What is algebraic expression? Give one example.
Ans.
An algebraic expression is that in which constants or variables or both are
combined by basic operations.
For instance,
Q.No.2:
Ans.
Q.No.3:
Ans.
Q.No.4:
Ans.
Q.No.5:
and
are algebraic expressions.
Define polynomial?
Polynomial means an expression with many terms. A polynomial in the variable x
is an algebraic expression of the form
P(x) = anxn + an-1xn-1 + an-2xn-2 + …+ a1x + a0, an ≠ 0.
What is degree of polynomial?
Degree of polynomial means highest power of variable. 2x4y3 + x2y2 + 8x is a
polynomial in two variables x and y and has degree 7.
What is leading coefficient?
The coefficient an of the highest power of x is called the leading coefficient of the
polynomial.
What is rational expression?
Ans.
𝑝(𝑥)
The quotient 𝑞(𝑥)of two polynomials, p(x) and q(x), where q(x) is a non-zero polynomial, is
2𝑥+1
called a rational expression. For example, 3𝑥−8 ,3𝑥 − 8 ≠ 0 is rational expression.
Q.No.6:
Ans.
What is meant by Rational Expression in its Lowest form?
p(x)
The rational expression q(x) is said to be in its lowest form, if p(x) and q(x) are polynomials
x+1
with integral coefficients and have no common factor. For example, x2 +1 is in its lowest form.
Q.No.7:
Ans.
What are the working Rule to reduce a rational expression to its
lowest terms?
p(x)
Let the given rational expression be q(x)
i.
ii.
iii.
Factorize each of the two polynomials p(x) and q(x).
Find H.C. F. of p(x) and q(x).
Divide the numerator p(x) and the denominator q(x) by the H.C. F. of p(x)and q(x). The
rational expression so obtained, is in its lowest terms.
Q.No.8:
Ans.
What is value of the expression?
Q.No.9:
Ans.
Define surd? Give example.
Q.No.10:
Ans.
Q.No.11:
Ans.
What is order of surd?
If specific numbers are substituted for the variables in an algebraic expression, the resulting
number is called the value of the expression.
An irrational radical with rational radicand is called a surd.
𝑛
In √𝑎 , n are called surd index or surd order and rational number x is called radicand.
Define monomial & binomial surd?
Monomial surd:
A surd which contains a single term is called a monomial surd. e.g.√2, √3 etc.
Binomial surd:
A surd which contains sum or difference of two surds is called binomial surd. e.g. √2 + √3
, √2 + 11 etc.
Q.No.12: What is rationalizing factor?
If the product of two surds is a rational number, then each surd is called the rationalizing factor
Ans.
of the other.
Q.No.13: What is meant by rationalization of the surd?
The process of multiplying a given surd by its rationalizing factor to get a rational number as
Ans.
product is called rationalization of the given surd.
Q.No.14: What are conjugate surds?
Two binomial surds of second order differing only in sign connecting their terms are called
Ans.
conjugate surds. (√a + √b)(√a − √b)are conjugate surds of each other.
CHAPTER 9
Q.No.1:
Define plane geometry?
Ans.
The study of geometrical shapes in a plane is called plane geometry.
Q.No.2:
Ans.
Q.No.3:
Ans.
Define coordinate geometry?
Q.No.4:
Ans.
Define collinear & non-collinear points?
Q.No.5:
Ans.
Define triangle. Give example?
A closed figure in a plane obtained by joining three non-collinear points is called a triangle.
Coordinate geometry is the study of geometrical shapes in the Cartesian plane
State distance formula?
If P(x1, y1) and Q(x2, y2) are two points and d is the distance between them, then
Two or more than two points which lie on the same straight line are called collinear points with respect
to that line ;otherwise they are called non-collinear.
Q.No.6:
Ans.
Q.No.7:
Ans.
Q.No.8:
Ans.
Q.No.9:
Ans.
Q.No.10:
Ans.
Q.No.11:
Ans.
Define equilateral triangle. Give example?
If the lengths of all the three sides of a triangle are same, then the triangle is called an
equilateral triangle. e.g. the points O(0, 0),A( √3 , 1),B(√3 , –1) are vertices of an equilateral
triangle.
Define isosceles triangle. Give example?
An isosceles triangle is a triangle which has two of its sides with equal length while the third
side has a different length.. e.g. points P(-1, 0),Q(1, 0) and R (0, 1 are vertices of an isosceles
triangle.
Define scalene triangle. Give example?
A triangle is called a scalene triangle if measures of all the three sides are different. e.g. t the
points P(1, 2),Q(-2, 1) and R(2, 1) in the plane form a scalene
Define right angled triangle. Give example?
A triangle in which one of the angles has measure equal to 900 is called a right angle triangle
.e.g. the points O(0, 0), P(-3, 0) and Q(0, 2)are vertices of an right angled triangle.
Define square?
A square is a closed figure in the plane formed by four non-collinear points such that lengths of
all sides are equal and measure of each angle is 900.
Define rectangle?
A figure formed in the plane by four non-collinear points is called a rectangle if
(i)
its opposite sides are equal in length
(ii) the angle at each vertex is of measure 90o.
CHAPTER 10
CONGRUENT TRIANGLES
Q.No.1:
What are congruent triangles?
Ans.
Two triangles are said to be congruent written symbolically as, ≅, if there exists a correspondence
between them such that all the corresponding sides and angles are congruent.
Q.No.2:
Ans.
What is A.S.A. ≅ A.S.A.?
Q.No.3:
Ans.
What is S.A.A. ≅ S.A.A.?
Q.No.4:
Ans.
What is S.S.S ≅ S.S.S?
Q.No.5:
Ans.
What is H.S ≅ H.S?
In any correspondence of two triangles, if one side and any two angles of one triangle are congruent to
the corresponding side and angles of the other, then the triangles are congruent. (A.S.A. ≅ A.S.A.)
In any correspondence of two triangles, if one side and any two angles of one triangle are congruent to
the corresponding side and angles of the other, then the triangles are congruent.(S.A.A. ≅ S.A.A.)
In a correspondence of two triangles, if three sides of one triangle are congruent to the corresponding
three sides of the other, then the two triangles are congruent (S.S.S ≅ S.S.S).
If in the correspondence of the two right-angled triangles, the hypotenuse and one side of one triangle
are congruent to the hypotenuse and the corresponding side of the other, then the triangles are
congruent. (H.S ≅ H.S).
OXFORD HIGH SCHOOL
Ch#10 MCQS
(D)
⊥
Proportion
(C)
↔
Ratio
(B)
→
Similar to
(A)
4
Similar
3
Parallel
2
Different
Congruent
to
1
Same
→
≅
⇒
𝜖
↔
↔
∀
→
--------
∠
≅
→
~
4
↔
3
≅
2
=
1
QUESTIONS
The symbol used for line segment is (A)
≅ symbol is used for (A)
A ray has ------ end points.(A)
Congruent triangles are of ------ size &
shape. (A)
The symbol used for angle is (A)
The symbol used for congruency is (A)
The symbol used for (1−1) correspondence
is (C)
Symbol used for congruent triangle is (B)
Two lines can intersect at ------ point
Q.NO.
1.
2.
3.
4.
5.
6.
7.
8.
9.
6
4
2400
900
None
5
3
1800
800
Thrice
4
2
1200
600
Twice
2
1
600
300
Equal
None
Intersecting
Different
Same
4
3
2
1
None
Supplementary
Acute
Right
Adjacent
Complementary Supplementary
Vertical
Unequal
5
Right angle
4
Not congruent
3
Congruent
2
900
800
600
300
6
5
4
3
4
3
2
1
6
1800
5
1200
4
900
2
600
None of these
Obtuse angled
Acute angled
Noncongruent
Noncongruent
Equilateral
Equal
Similar
Right
angled
Congruent
Un-qual
Right angle
Congruent
Scalene
Isosceles
Right
angled
Equilateral
Scalene
Isosceles
Equilateral
Scalene
Isosceles
Right
angled
Right
angled
only.(A)
Number of elements of triangle are (D)
A triangle has angles (C)
The sum of interior angle of triangle is (C)
Which of them is not an acute angle? (D)
If one angle of hypotenuse is of 300, the
hypotenuse is ------ as long as the side
opposite to the angle. (B)
Three points are called collinear if they lie
on----- line (A)
A triangle can have only ------ right
angle.(A)
One triangle can have only one -------angle.(A)
If sum of two angles is 1800, then these are
called (B)
Angles of equilateral triangle are --------.(A)
------- lines can intersect only at one
point.(A)
Find
unknown
in
figure
(B)
How many (1−1) correspondence can be
made b/w two triangles? (D)
How many sides of isosceles triangles are
congruent? (B)
Total parts of triangles are (D)
Complementary angles are those whose
sum is (B)
H.S≅ H.S postulate is used only for ------triangles. (A)
If two angles of triangle are congruent, then
sides opposite to them are (A)
A triangle of congruent sides has -----angles.(A)
If perpendiculars from two vertices of
triangle to opposite sides are congruent,
then triangle is (B)
Which one is equiangular triangle? (D)
If the bisectors of an angle of triangle
bisects the side opposite to it, the triangle is
(B)
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
OXFORD HIGH SCHOOL
Ch#11 MCQS
(D)
5
(C)
4
(B)
3
(A)
2
m∠4
m∠3
m∠2
m∠1
gm ‖
3:1
gm
≈
4:1
‖
2:1
‖
1:1
QUESTIONS
Q.NO.
gm
1.
Diagonals of ‖ divide the ‖ into --------congruent triangles.(A)
2.
In ‖gm ABCD, m∠ 1 ≅
gm
(C)
The symbol of parallelogram is (B)
Diagonals of parallelogram cut each other in
3.
4.
Isosceles
Acute
Right angled
Congruent
Non-congruent
4
Concurrent
3
Parallel
2
Congruent
1
None
Parallel
Intersect
Attract
Congruent/
Parallel
1000,600,700
Equidistant
Un-parallel
1100,600,600
1200,600,500
Opposite
direction
1300,500,500
Trisection
Bisection
None
Right
bisection
Both
900
1500
Opposite
angles
600
Opposite
sides
300
Rhombus
1000
Trapezium
750
Triangle
600
‖gm
450
None
ratio (A)
Diagonals of ‖gm divide the ‖gm into two ---triangles.(A)
In ‖gm , opposite angles are (A)
A ‖gm is divided by its diagonals into -------triangles of equal area. (D)
Diagonals of parallelogram --------each other
at a point.(C)
In ‖gm , opposite sides are (D)
If one angle of ‖gm is 1300, the its remaining
angles will be (A)
Diagonals of parallelogram do -----each
other.(A)
In ‖gm , ----------- are congruent.
(C)
Bisectors of angles formed with any one side
of a ‖gm intersect each other at angle(D)
Opposite sides are congruent in
In the given figure, x0 is
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
None
None
m∠4
Opposite
Base
m∠3
Congruent
Heights
m∠2
Equal
Diagonals
m∠1
(D)
Diagonals of rectangle are (B)
------------- of rectangle are congruent.(A)
In ‖gm ABCD, m∠2 ≅ (D)
Parallel
m∠4
Equal
m∠3
Congruent
m∠2
Concurrent
m∠1
Medians of triangles are (A)
In ‖gm ABCD, m∠4 ≅ (B)
19.
20.
4
2
1
0
21.
5
4
3
900
600
300
5
4
3
Triangle
Trapezium
Rhombus
Adjacent
Opposite
Parallel
3/4
1/4
1/3
How many right angles, a parallelogram
has(A)
2
Each hypotenuse of ‖gm divides into -------congruent triangles. (A)
150
The bisectors of two angles on the same side
of ‖gm cut each other at an angle of (D)
2
Bisection means to divide the ‖gm into ------triangles. (A)
If two opposite sides of quadrilateral are
‖gm
congruent & parallel, it is a (A)
Perpendicular The line segment joining the mid points of
two sides of triangle is ------ to third side.(B)
1/2
The line segment joining the mid points of
two sides of triangle is equal ---- of its
length(A)
OXFORD HIGH SCHOOL
Ch#11
Q.No.1:
Ans.
Define parallelogram?
In parallelogram,
16.
17.
18.
22.
23.
24.
25.
26.
27.
Q.No.2:
Ans.
Q.No.3:
Ans.
(i) Opposite sides are congruent.
(ii) Opposite angles are congruent.
(iii) The diagonals bisect each other.
How many congruent triangles are formed by each diagonals of parallelogram?
Each diagonal of a parallelogram bisects it into two congruent triangles.
Define rhombus?
A rhombus is a parallelogram with four equal sides & equal opposite angles. Opposite sides are
parallel. Diagonals are not equal. Consecutive angles are supplementary.
Q.No.4:
Ans.
Define trapezium?
A trapezium is a quadrilateral with only two parallel sides.
Q.No.5:
Ans.
Define quadrilateral?
A closed figure with four sides & sum of its all interior angles is 3600.
OXFORD HIGH SCHOOL
Ch#12 MCQS
(D)
|AB|
4
(C)
⃡AB
3
(B)
AB
2
(A)
̅̅̅̅
AB
1
Angle
Line segment
Ray
Line
4
3
2
1
Parallel
Concurrent
Collinear
Congruent
Equidistant
from angles
None
Equidistant
from sides
Values
Not
Concurrent
Arms
Concurrent
None
Sides &
vertices
One base
Angles
Vertices
On hypotenuse
One base
On hypotenuse
One base
On hypotenuse
Acute
Right angled
Inside the
triangle
Inside the
triangle
Inside the
triangle
Obtuse
Equilateral
Acute
Right angled
Obtuse
Equilateral
Acute
Right angled
Obtuse
5
None
4
Two points
3
Any point
2
Mid point
Outside the
triangle
Outside the
triangle
Outside the
triangle
Equilateral
Bisectors
QUESTIONS
Q.NO.
A line AB symbolically written as (C)
1.
How many mid points a line segment
2.
has(A)
Right bisection of ------- means to draw
3.
perpendicular which passes through the mid
point of a line segment.(C)
Bisection of angle means to draw a ray to
4.
divide the given angle into ------ equal
parts.(B)
Right bisectors of three sides of triangle
5.
are(C)
Angle bisectors of triangle are (A)
6.
In any triangles, ---- of angles are
concurrent. (A)
In any triangles, bisectors of ------------- are
concurrent. (B)
Right bisectors of sides of an obtuse angled
triangle meet ----------.(D)
Right bisectors of sides of an right angled
triangle meet ----------.(B)
Right bisectors of sides of an acute angled
triangle meet ----------.(A)
Right bisectors of sides of an ------- triangle
intersect each other inside the triangle.(C)
Right bisectors of sides of an ------- triangle
intersect each other on the hypotenuse.(B)
Right bisectors of sides of an ------- triangle
intersect each other outside the triangle.(A)
Bisection means to divide into ---- parts.(A)
Right
bisection
means
to
draw
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
Parallel
None
Concurrent
Altitude
Collinear
Any point
Congruent
Mid point
None
Equilateral
Scalene
Isosceles
Circle
Rectangle
Square
Triangle
perpendicular at (A)
Altitude of triangle are(C)
Bisectors of the angles of base of an
isosceles triangle intersect each other on its
(C)
Bisectors of the angles of base of an ------triangle intersect each other on its
altitude.(A)
Three altitudes of ------- are concurrent. (A)
17.
18.
19.
20.
OXFORD HIGH SCHOOL
Q.No.1:
Ans.
Q.No.2:
Ans.
Ch#12
Define line segment?
A line segment is a part of line which has two distinct end points.
Define right bisector of line segment?
Right bisector of line segment is a line which is perpendicular to it & passes through its mid
point.
̅̅̅̅.
A line ↔ is a right bisector of a line segment 𝐴𝐵
𝐿𝑀
Q.No.3:
Ans.
Define angle bisector?
Angle Bisector is a ray that divides an angle into two equal parts.
Q.No.4:
Ans.
Q.No.5:
Ans.
Define bisector of line segment?
A line that divides a line segment into two equal parts is called bisectors of line segment.
What do you mean by bisection?
Bisection means to divide into two equal parts.
OXFORD HIGH SCHOOL
Ch#14 MCQS
(D)
5
(C)
4
(B)
3
(A)
2
̅̅̅̅
mBC
̅̅̅̅
mEC
̅̅̅̅
mAE
̅̅̅̅
mBC
̅̅̅̅
mAE
̅̅̅̅
mEC
̅̅̅̅
mAE
̅̅̅̅
mAC
Ratio
Alternate
Area
Congruent
Width
Corresponding
Length
Similar
∆ABC ↔
∆DEF
∆ABC ~ ∆DEF
∆ABC = ∆DEF
∆ABC ≅ ∆DEF
a−b
a:b
a+b
a×b
4
3
2
1
↔
5
~
4
=
3
≅
2
None
None
3
Both A+B
2
Perpendicular
1
Parallel
QUESTIONS
Q.NO.
Equality of ---- ratio is defined as
1.
proportion.(A)
̅̅̅̅̅
mAD
In a triangle ABC if DE‖BC ,then mDB
̅̅̅̅
(B)
------ has no unit.(D)
Triangles are of same shape but different
sizes.(A)
When ∆ABC & ∆DEF are similar, then it
is written symbolically as(C)
The ratio b/w two quantities a & b is
expressed as (C)
The line segment has only-------point of
bisection. (A)
Symbol used form similarity is (C)
One & only one line can be drawn through
------ points.(A)
Unit of ratio is (D)
If adjacent angles of two intersecting lines
are congruent, then lines are ------- to each
other.(B)
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
4
3
2
1
4
3
2
5
None
None
4
Area
Both
4
3
3
Proportion
Corresponding
angles
2
None
Both
Perpendicular
None
Proportional
Parallel
!
~
::
How many lines can be drawn through
two points? (A)
1
------ altitude of equilateral triangles are
congruent.(C)
2
--------- points determine a line. (A)
Ratio
Equality of two ratio is defined as (B)
Corresponding ------ of similar triangles are equal. (B)
sides
1
A line segment has exactly -------midpoint.(A)
Parallel
If a line segment intersects the two sides
of a triangle in same ratio, then it is ------to third side.(A)
Equal
If two triangles are similar, then measures
of their corresponding sides are (C)
:
------- symbol is used for proportion.(B)
12.
13.
14.
15.
16.
17.
18.
19.
20.
OXFORD HIGH SCHOOL
Q.No.1:
Ans.
Q.No.2:
Ans.
Q.No.3:
Ans.
Q.No.4:
Ans.
Q.No.5:
Ans.
Ch#14
Define ratio?
𝑎
We defined ratio a:b = 𝑏 as the comparison of two alike quantities a b, called the elements of
ratio.
Define proportion?
Equality of the two ratios is defined as proportion. If a:b = c:d, then a,b,c & d are said to be in
proportion.
Define similar triangle?
Two triangles are said to be similar if they are equiangular & corresponding sides are
proportional.
What is importance of knowledge of ratios & proportions?
A knowledge of ratio & proportion is necessary of many occupations like food service
occupation, medications in health, preparing maps for land survey& construction work etc.
When are two triangles, triangle ABC & triangle DEF called similar?
If ∆ABC↔ ∆DEF
̅̅̅̅
AB
̅̅̅̅
BC
̅̅̅̅
CA
∠A≅ ∠D , ∠B≅ ∠E , ∠C≅ ∠F & DE
̅̅̅̅ = EF
̅̅̅̅ = FD
̅̅̅̅
Then ∆ABC & ∆DEF are called similar triangles. Symbolically, ∆ABC~∆DEF
Q.No.6:
Ans.
Q.No.1:
Ans.
Q.No.2:
Ans.
If a line segment intersects the two sides of a triangle in the same ratio, what will
be its relation with third side?
If a line segment intersects the two sides of a triangle in the same ratio, then it is parallel to third
side .
OXFORD HIGH SCHOOL
Ch#15
Define Pythagoras theorem?
In a right angled triangle, the square of the length of hypotenuse is equal to the
sum of the squares of the lengths of the other two sides.
Define Converse of Pythagoras theorem?
If the square of one side of a triangle is equal to the sum of the squares of the
other two sides, then the triangle is a right angled triangle.
OXFORD HIGH SCHOOL
Ch#16 MCQS
(D)
72cm2
(C)
36cm2
(B)
12cm2
(A)
6cm2
Altitude
Union
Exterior
Interior
QUESTIONS
Q.NO.
What is area of given figure?(D)
1.
6cm
12cm
The ------ of a triangle is the part of the
2.
Negative
Difference
Sum
Product
4cm2
8cm2
16cm2
6cm2
10cm2
20cm2
18cm2
9cm2
Width
Length
Area
Volume
16cm2
20cm2
12cm2
8cm2
ms-1
None
m3
Mid point
m2
Side
m
Vertex
None
a−b
Empty
a÷b
Different
a+b
Same
a×b
80cm2
256cm2
26cm2
160cm2
length×width
Base×height
1
length×width
2
1
base×height
2
Many
3
2
1
None
Similar
Both
Congruent
Negative
Equal
Positive
Not equal
None
None
Empty
Area
Different
Width
Same
Length
0
Similar
a3
Congruent
a2
Equal
a+a
Not equal
4
3
2
1
4
3
2
1
4
3
2
1
plane enclosed by the triangle.(A)
Area of parallelogram is equal to the -------of the base & height.(A)
What is area of given figure?(C)
2cm
4cm
What is area of given figure?(A)
3cm
3cm
The region enclosed by bounding lines of
closed figure is called (B)
What is area of given figure?(D)
4cm
The unit of area is (B)
Altitude of triangle is perpendicular
distance from ------ to opposite side.(A)
Congruent figures are ----- in area.
If a & b are length & breadth of a rectangle,
then its area is (A)
What is area of given figure?(D)
4.
5.
6.
7.
8.
9.
10.
11.
12.
Area of triangular region =(A)
13.
A rectangular region can be divided in two
or more triangular regions by ----- ways.(D)
Unit of area is ------- real number.(A)
Triangle on equal bases & equal altitudes
are ------- in area.(B)
Congruent figures have ----- area.(A)
------- of parallelogram is equal to product
of base & height.(C)
If “a” is side of square, then its area is (B)
Parallelogram on the same base & b/w the
same parallel lines are ----- in area.(B)
The line segment joining the mid points of
opposite sides of parallelogram divides it
into ----- equal parallelograms.(B)
Median of triangle divides it into ------triangles of equal area.(B)
A parallelogram is divided by its diagonals
into ------- triangles of equal area.(D)
14.
Short questions
(1)
Ans.
(2)
Ans.
3.
Define area of figure?
The region enclosed by the bounding lines of a closed figure is called the Area of the figure.
Define rectangular region?
The interior of a rectangle is the part of the plane enclosed by the rectangle.
(3) Define congruent area axiom?
Ans. If ∆ABC ≅ ∆PQR, then area of (region ∆ABC) = area of (region ∆PQR)
(4) What is triangular region?
15.
16.
17.
18.
19.
20.
21.
22.
23.
Ans. The interior of a triangle is the part of the plane enclosed by the triangle.
(5) Define height of parallelogram?
Ans. If one side of a parallelogram is taken as its base , the perpendicular distance between that side and the side
parallel to it, is called the Altitude or Height of the parallelogram.
(6) Define area of rectangle?
Ans. If the length and width of a rectangle are a units and b units respectively, then the area of the rectangle is equal to
a × b square units.
(7) Define area of triangle?
Ans. By area of triangle means the area of its triangular region.
1
2
Area of triangular region = base×height
(8) When are two triangles considered to be b/w the same parallel?
Ans. Two triangles are said to be between the same parallels, when their bases are in the same straight line and the line
joining their vertices is parallel to their bases.
(9) Define interior of triangle?
Ans. The interior of a triangle is the part of the plane enclosed by the triangle.
(10) Define area of triangle?
Ans. If one side of a triangle is taken as its base the perpendicular to that side, from the opposite vertex is called the
Altitude or Height of the triangle.
(11) When are two parallelogram considered to be b/w the same parallel?
Ans. Two parallelograms are said to be between the same parallels, when their bases are in the same straight line and
their sides opposite to these bases are also in a straight line.
OXFORD HIGH SCHOOL
Ch#17
Q.No.1:
Ans.
Q.No.2:
Ans.
Q.No.3:
Ans.
Q.No.4:
Ans.
Q.No.5:
Ans.
Q.No.6:
Ans.
Q.No.7:
Ans.
Define Incentre?
The point where internal bisectors of the angles of triangle meet is called incentre of triangle.
Define Circumcentre?
The point of concurrency of three perpendicular bisectors of sides of a triangle is called
circumcentre.
Define Orthocenter?
The point of concurrency of three altitude of a triangle is called orthocenter.
Define Centroid?
The point where medians of triangle meet is called Centroid of triangle.
Define Point of concurrency?
The point where three or more than three lines meet is called point of concurrency.
What are concurrent lines?
Three or more than three lines are said to be concurrent if these pass through the same point.
Define median of triangle?
A line segment joining a vertex of a triangle to the midpoint of the opposite side is called
median of triangle.