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POW #7 - Quarterly Review 2012
Page 1 of 17
Teacher: Ms. Williams
Name: ____________________________________
1.
3.
What is the slope of a line that is
What is the distance between the points R(5,
perpendicular to the line whose equation is y 7) and S(-2, 3)?
= 4x + 1?
1.
2.
1. 3.
4.
2.
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3. -4
4. 4
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2.
Find the coordinates of the midpoint of the
segment whose endpoints are (-4, 6) and (-8,
-2).
1. (-2, -4)
3. (2, -6)
2. (1, -5)
4. (-6, 2)
4.
Which is an equation of a line parallel to the
line whose equation is 3y = 2x + 3?
1. 3y = -2x + 1
2. y =
x+3
3. y =
x-3
4. 2y = 3x + 3
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POW #7 - Quarterly Review 2012
Page 2 of 17
5.
7.
The midpoint of
is M. If the coordinates What is the slope of a line parallel to the line
of A are (2, -6) and the coordinates of M are whose equation is y = 5x + 4?
(5, -1), what are the coordinates of B?
1. -4/5
3. 5
1. (3, 5)
2. -5/4
4. 4
2. (-4, -8)
-------------3. (8, 4)
4.
( ,-
)
8.
-------------The graphs of the equations y = x2 + 4x - 1
and y + 3 = x are drawn on the same set of
axes. At which point do the graphs intersect?
6.
What is the length of the line segment whose 1. (1,4)
3. (-2,1)
endpoints are (1, 1) and (3, -3)?
2. (1,-2)
4. (-2,-5)
1. 2
-------------2. 10
3. 4
4. 2
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POW #7 - Quarterly Review 2012
9.
Solve the following system of equations
algebraically.
y = x2 + 4x - 2
y = 2x + 1
The solution with the smaller value of x is x
=
,y=
.
The solution with the greater value of x is x =
,y=
Page 3 of 17
11.
Which line is perpendicular to the line whose
equation is 5y + 6 = -3x?
1. y = - x + 7
2. y =
3. y = 4. y =
x+7
x+7
x+7
.
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10.
The line 3x - 2y = 12 has
1. a slope of
and a y-intercept of -6
2. a slope of -
and a y-intercept of 6
3. a slope of 3 and a y-intercept of -2
4. a slope of -3 and a y-intercept of -6
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POW #7 - Quarterly Review 2012
12.
Which graph could be used to find the
solution to the following system of
equations?
y = –x + 2
y = x2
Page 4 of 17
13.
What is the equation of a line that passes
through the point (–3, –11) and is parallel to
the line whose equation is 2x – y = 4?
1. y = 2x + 5
2. y = 2x – 5
3.
1.
3.
4.
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2.
4.
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14.
Find an equation of the line passing through
the point (5,4) and parallel to the line whose
equation is 2x + y = 3.
1. y + 4 = 2(x – 5)
2. y – 4 = –2(x – 5)
3. y + 4 = –2(x + 5)
4. y – 4 = 2(x + 5)
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POW #7 - Quarterly Review 2012
15.
What is an equation of the line that contains
the point (3,−1) and is perpendicular to the
line whose equation is y = −3x + 2?
1. y = −3x + 8
2. y = −3x
3. y =
x
4. y =
x–2
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Page 5 of 17
16.
In the diagram, transversal
intersects
parallel lines
and
, m DGH = x, and
m BHG = 2x − 30.
Find the value of x.
1. 30
3. 70
2. 50
4. 110
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POW #7 - Quarterly Review 2012
17.
In the diagram, m A = x + 20, m B = 3x,
and BCD is an exterior angle formed by
extending
to point D, and m BCD =
120.
Find the value of x.
1. 10
3. 35
2. 25
4. 40
Page 6 of 17
18.
In the diagram, ACD is an exterior angle of
∆ABC, m A = 3x, m ACD = 5x, and m B
= 50.
What is the value of x?
1. 25
3. 60
2. 30
4. 100
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POW #7 - Quarterly Review 2012
Page 7 of 17
19.
In the diagram, transversal
intersects
parallel lines
and
at A and B,
respectively.
20.
What is the measure of the largest angle of a
triangle whose angles measures are in the
ratio of 2:3:4?
1. 20°
3. 60°
2. 40°
4. 80°
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If m RAN = 3x + 24 and m
16, find the value of x.
1. 5
3. 10
2. 8.2
4. 16.4
RBQ = 7x −
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POW #7 - Quarterly Review 2012
21.
In the diagram,
is parallel to
Transversal
intersects
and
and H, respectively.
Page 8 of 17
.
at G
22.
Which set of numbers could represent the
lengths of the sides of a triangle?
1. {9, 16, 20}
3. {3, 4, 8}
2. {8, 11, 19}
4. {11, 5, 5}
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If m AGH = 4x and m
what is the value of x?
1. 20
3. 80
2. 40
4. 160
GHD = 3x + 40,
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23.
In ∆RST, m R = 58 and m S = 72. Which
is the shortest side of the triangle?
1.
2.
3.
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24.
In ∆ABC, m A = 3x + 40, m B = 8x + 35,
and m C = 10x. Which is the longest side
of the triangle?
1.
2.
3.
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POW #7 - Quarterly Review 2012
25.
In ∆ABC, m B > m C and m C > m
Which side of ∆ABC is longest?
1.
2.
3.
Page 9 of 17
27.
A.
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Figure 1
26.
In the diagram of ∆ABC, if AB < BC < AC,
In ∆PEN, m P = 40 and m N = 80. Which then which statement is false?
side of the triangle is longest?
1. m A > m C
1.
2. m A < m B
2.
3. m B > m C
3.
4. m B < m A
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28.
Which set can not represent the lengths of the
sides of a triangle?
1. {4,5,6}
3. {7,7,12}
2. {5,5,11}
4. {8,8,8}
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POW #7 - Quarterly Review 2012
Page 10 of 17
29.
If the measures of the angles of a triangle are
represented by 2x, 3x - 15, and 7x + 15, the
triangle is
1. an obtuse isosceles triangle
2. a right triangle
3. an acute triangle
4. an equiangular triangle
31.
In ∆ABC, m A = 95, m B = 50, and m C
= 35. Which expression correctly relates the
lengths of the sides of this triangle?
1. AB < BC < CA
2. AB < AC < BC
3. AC < BC < AB
4. BC < AC < AB
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30.
In which triangle do the three altitudes
intersect outside the triangle?
1. a right triangle
3. an obtuse triangle
2. an acute
4. an equilateral
triangle
triangle
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POW #7 - Quarterly Review 2012
32.
In the diagram below of ∆ACT, D is the
midpoint of
, O is the midpoint of , and
G is the midpoint of .
Page 11 of 17
33.
In ∆PQR, PQ = 8, QR = 12, and RP = 13.
Which statement about the angles of ∆PQR
must be true?
1. m Q > m P > m R
2. m Q > m R > m P
3. m R > m P > m Q
4. m P > m R > m Q
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If AC = 10, AT = 18, and CT = 22, what is the
perimeter of parallelogram CDOG ?
1. 21
3. 32
2. 25
4. 40
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POW #7 - Quarterly Review 2012
Page 12 of 17
34.
In the diagram below, the vertices of ∆DEF
are the midpoints of the sides of equilateral
triangle ABC, and the perimeter of ∆ABC is
36 cm.
What is the length, in centimeters, of
1. 6
3. 18
2. 12
4. 4
?
35.
In the diagram below of ∆GJK, H is a point
on ,
, m G = 28, and m GJK
= 70. Determine whether ∆GHK is an
isosceles triangle and justify your answer.
1. Yes, because angles GKH and KGH are
congruent.
2. No, because angles GKH and KHJ are
not congruent.
3. Yes, because there are two congruent
angles in triangle GHK.
4. No, because there are no two congruent
angles in triangle GHK.
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POW #7 - Quarterly Review 2012
Page 13 of 17
36.
38.
In triangle ABC, AB = 8, BC = 14 and CA = Point Z is the centroid of triangle ABC and
10. Points M, N, and P are the midpoints of CZ = 18. What is the length of segment ?
sides
, , and
, respectively. If M, N,
and P are connected to form a triangle, what
is the perimeter of triangle MNP?
Answer:
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37.
ZF =
Point Z is the centroid of triangle ABC, E is a
-------------point on
, and BE = 6. What is the length
of segment ?
39.
Which of the four centers always remains on
or inside a triangle?
1. incenter, only
3. orthocenter and
incenter
2. incenter and
4. circumcenter, only
centroid
BZ =
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11/13/2012
POW #7 - Quarterly Review 2012
40.
Which type of triangle would have its
orthocenter outside the triangle?
1. right
3. scalene
2. obtuse
4. equilateral
Page 14 of 17
42.
In the diagram of ∆ABC below, Jose found
centroid P by constructing the three medians.
He measured
and found it to be 6 inches.
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41.
Which type of triangle would have its
orthocenter on the triangle?
1. right
3. scalene
2. obtuse
4. equilateral
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If PF = x, which equation can be used to find
x?
1. x + x = 6
2. 2x + x = 6
3. 3x + 2x = 6
4. x + x = 6
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POW #7 - Quarterly Review 2012
Page 15 of 17
43.
44.
Given triangle ABC has vertices at (-5, 3),
In the diagram below, point P is the centroid
(1,1) and (-3,- 1), respectively, and points E, of ∆ABC.
F and G are midpoints of their respective
sides, find the centroid of the triangle. Round
to the nearest hundredth.
If PM = 2x + 5 and BP = 7x + 4, what is the
length of
?
1. 9
3. 18
2. 2
4. 27
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Centroid = (
,
)
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POW #7 - Quarterly Review 2012
45.
“If Mary and Tom are classmates, then they
go to the same school.”
Which statement below is logically
equivalent?
1. If Mary and Tom do not go to the
same school, then they are not
classmates.
2. If Mary and Tom are not classmates,
then they do not go to the same school.
3. If Mary and Tom go to the same
school, then they are classmates.
4. If Mary and Tom go to the same
school, then they are not classmates.
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46.
Which is the converse of the statement "If
today is Presidents' Day, then there is no
school"?
1. If there is school, then today is not
Presidents' Day.
2. If there is no school, then today is
Presidents' Day.
3. If today is Presidents' Day, then there
is school.
4. If today is not Presidents' Day, then
there is school.
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47.
What is the inverse of the statement "If it is
sunny, I will play baseball"?
1. If I play baseball, then it is sunny.
2. If it is not sunny, I will not play
baseball.
3. If I do not play baseball, then it is not
sunny.
4. I will play baseball if and only if it is
sunny.
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POW #7 - Quarterly Review 2012
Page 17 of 17
48.
The statement "x is divisible by 5 or x is
divisible by 4" is false when x equals
1. 10
3. 20
2. 16
4. 27
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49.
Given the true statements: “t is a multiple of
3” and “t is even.” What could be a value of
t?
1. 8
3. 15
2. 9
4. 24
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50.
The statement "If x is divisible by 8, then it is
divisible by 6" is false if x equals
1. 6
3. 32
2. 14
4. 48
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