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i) 50°
The Mathematics Department
Stage : 1st Prep
Date
: /
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2nd Term
Mid Year Revision
Polygon & Quadrilateral
2] In a rhombus
……………..…………
3] In a rectangle
……………..………
4] In a square
……………..…………
5] In a trapezium
……………..…
iv) 30°
6] ABC is a triangle, if mA = mB = 30°, then mC = ……..
i) 30°
ii) 60°
iii) 120°
iv) 150°
Group (B)
a) The two diagonals are equal in
length and not perpendicular.
7] The sum of measures of the interior angles of a triangle is
………….
i) 180°
ii) 90°
iii) 360°
iv) 108°
b) The two diagonals are equal in
length and perpendicular.
c) The two diagonals bisect each
other.
8] The sum of the measures of the interior angles of a polygon
of 6 sides is ……
i) 120°
ii) 360°
iii) 540°
iv) 720°
d) There are two opposite sides
parallel and not equal.
e)
iii) 70°
5] The polygon which has no diagonals is …………………
i) a pentagon
ii) a quadrilateral
iii) a triangle
iv) a hexagon
[1] Complete the statements of group (A) with the
suitable statements in group (B):
Group (A)
1] In a parallelogram
……….
ii) 20°
The
two
diagonals
are
perpendicular and not equal in
length.
9] The regular pentagon whose side is of length 4 cm, its
perimeter is …. cm.
i) 20
ii) 16
iii) 32
iv) 25
10] 30°, 70° and ……. could be the measures of the three angles
of a triangle.
i) 30°
ii) 70° iii) 80°
iv) 180°
[2] Choose the correct answer:
1] The measure of the regular pentagon angle is ………….
i) 180°
ii) 118°
iii) 120°
iv) 108°
2] The measure of each angle of a regular hexagon ……….
i) 180°
ii) 720°
iii) 120°
iv) 108°
11] The equilateral triangle is a regular polygon of three sides,
hence the measure of each angle of it = ………
i) 30°
ii) 60°
iii) 90°
iv) 120°
3] If the perimeter of an equilateral triangle is 12 cm, then the
length of its side is …….. cm.
i) 3
ii) 4
iii) 6
iv) 36
12] In the square, all angles are ………..
i) acute
ii) right
iii) obtuse
4] In ∆ LMN, mL = 80°, mN = 70°, then mM = ……..
1
iv) straight
13] ABCD is a parallelogram, if mA = 90°, then ABCD is a ……
i) square
ii) rhombus iii) rectangle
iv) triangle
21] If XYZL is a parallelogram such that mX = mY, then XYZL
is a …….
i) square
ii) rhombus iii) rectangle
iv) trapezium
14] In the parallelogram, the diagonals are ………..
i) equal in length
ii) perpendicular
iii) bisect each other
iv) parallel
22] The diagonals of the rectangle are …………………
i) perpendicular
ii) parallel
iii) equal in length
iv) bisect each opposite angles
15] ABCD is a quadrilateral such that AB // CD and AB ≠ CD,
then it will be a …
i) rhombus
ii) trapezium iii) rectangle
23] If two adjacent sides in a parallelogram are equal in length,
then the figure is a …………….
i) square
ii) rhombus iii) rectangle
iv) trapezium
iv) square
16] The quadrilateral whose two diagonals are equal in length
and not perpendicular to each other is a ……………
i) rhombus
ii) trapezium
iii) rectangle
iv) square
24] The diagonal bisects the two opposite angles for the ………….
i) parallelogram
ii) rhombus
iii) rectangle
iv) trapezium
17] If ABCD is a rhombus, mB = 100°, then mBDC = ………
i) 110°
ii) 80°
iii) 40°
iv) 50°
25] The square is ………..…. with a right angle.
i) square
ii) rhombus iii) rectangle
iv) trapezium
18] The diagonals of the ………….. are perpendicular and not
equal in length.
i) square
ii) parallelogram
iii) rectangle
iv) rhombus
26] If the diagonals of the rectangle are perpendicular, the it is
a ………..
i) trapezium ii) parallelogram
iii) rhombus iv) square
19] In a parallelogram, any two consecutive angles are ………..
i) supplementary
ii) complementary
iii) equal in measure iv) the sum of their measures is 360°
27] The diagonal of the square makes with its side an angle of
measure ………
i) 60°
ii) 45°
iii) 30°
iv) 90°
20] If two diagonals of a parallelogram are perpendicular and
equal in length, then it is a ………….
i) square
ii) rhombus iii) rectangle
iv) trapezium
28] ABCD is a parallelogram in which mA + mC = 160°, then
mB = …………
i) 110°
ii) 80°
iii) 20°
iv) 100°
2
[3] Complete:
1] The sum of the measures of the interior angles of a triangle =
……… °
15] A parallelogram in which its two diagonals are perpendicular
and not equal in length is a ………………….
16] If ABCD is a parallelogram such that mA = 65°, then mB
= …….. °
2] The measure of the exterior angle of an equilateral triangle
equals ………..
17] The rhombus such that one of its angles is right is a
……………….
5] ABCDE is a pentagon, mA = mB = 90°, mC + mD =
280°, then mE = ….. °
18] The diagonal of the square makes with its side an angle of
measure ……… °
6] In ∆ LMN, if mL = 35°, mM = 60°, then mN = …… °
19] A quadrilateral with exactly one pair of parallel sides is a
………….
7] The two diagonals of the rhombus are ………….. , ………..
20] The length of one side of a rhombus is 5 cm, then its
perimeter = …… cm.
8] The two diagonals of the rectangle are ……………
9] The sum of measures of two consecutive angles of a
parallelogram = ……..
[4] In the opposite figure:
If mE = mF
Find mE
Solution:
10] If the two diagonals of the rhombus are equal in length,
then it is a ………..
F
•
A
130°
E
•
125°
11] The ………… is a parallelogram with two adjacent sides equal
in length.
127°
D
12] ABCD is a rhombus, then AC .......... BD .
13] In a parallelogram, every two opposite sides are ……… and
…………
14] The parallelogram which its diagonals are equal in length
and perpendicular is a ……………………
3
120°
C
B
[5] In the opposite figure:
D
AD // BE , mE = 70°,
E
70°
•
•
[7] In the opposite figure:
EFD is an equilateral triangle,
A
BD

C
B
AC = {D}, mA = 120°
A
120°
E
50°
D
105°
C
F
F
[8] In the figure opposite:
mABC = 110°, mCBD = 35°
and mABE = 140°
Find: mEBD
Proof:
A
M
[6] In the opposite figure:
ABCDEF is a regular hexagon,
mN = 29°.
Find: mM.
Solution:
B
//
//
mC = 105°. Find: mB
Solution:
//
mF = 50° and mD = mA
Find: m B.
Solution:

35°
110°
B 140°
A
E
[9] In the opposite figure:
ABCD is a parallelogram,
mBDC = 44, mDBC = mC
Find mA
A
Solution:
C
E
D
B
F
N
C
D
4
D
C
●
44°
●
B
[10] In the opposite figure:
//
E
EF intersects AB & CD at X
75°
B
X
A
A
//
& Y respectively, mAXE =
mDYF = 75°
Prove that: AB // CD
Solution:
B
[12] In the opposite figure:
ABCD is a parallelogram,
AC  BC . E  BC where BC = EC
Prove that: ACED is a rectangle
■
C
Solution:
∵ ABCD is a parallelogram
D
75° Y
F
[11] In the opposite figure:
C
E
D
ABCD is a rhombus, in which BD is a
diagonal and mABD = 70°.
Find with proof mA
C
D
A
[13] In the opposite figure:
70°
B
D
ABCD is a square, H  BC and
AC // DH
1] Prove that: ACHD is a parallelogram
2] Find m (H)
Solution:
H
5

A

C
■B