Cumulative Exam — Cumulative exam Answers

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Assume lines c and d are parallel and 2 measures 98°. Which statements are true? Select three options.

Question illustration
A
m3 = m6 = 98°
Option A
B
m3 = m14 = 98°
Option B
C
m4 = m8 = 82°
Option C
D
m4 = m12 = 82°
Option D
E
m5 = m8 = 82°
Option E
2
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Triangles C B A and R Q P are shown. The length of C B is 10, the length of B A is 10, and the length of A C is 14. The length of R Q is y, the length of Q P is 6, and the length of P R is 28.

Question illustration
A
18
B
20
C
24
D
26
3

Which distance measures 5 units?

Question illustration
A
the distance between points W and X
B
the distance between points X and Y
C
the distance between points X and Z
D
the distance between points Y and Z
4

On a coordinate plane, a line goes through (0, negative 4) and (12, 6). A point is at (12, negative 2).

Question illustration
A
y = – + 10
Option A
B
y = – + 12
Option B
C
y = – – 10
Option C
D
y = – 12
Option D
5

Triangles K L P and Q M N are shown. Triangle Q M N is slightly higher than triangle K L P and side Q M connects to side K P. Point M is at the midpoint of K P. Sides K L and Q N are congruent. Angles K L P and Q N M are congruent. Angles K P L and Q M N are both right angles.

Question illustration
A
No, KLP and QNM are congruent but KLP cannot be mapped to QNM using a series rigid transformations.
Option A
B
No, KLP and QNM are not congruent.
Option B
C
Yes, KLP can be reflected across the line containing KP and then translated so that P is mapped to M.
Option C
D
Yes, KLP can be rotated about P and then translated so that L is mapped to N.
Option D
6

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

Question illustration
A
9 units
B
12 units
C
15 units
D
18 units
7

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).

Question illustration
A
(x, y) → (x + 7, y + 6)
B
(x, y) → (x + 7, y – 6)
C
(x, y) → (x – 6, y + 7)
D
(x, y) → (x + 6, y + 7)
8

An isosceles right triangle has leg lengths of 4 centimeters. What is the length of the altitude drawn from the right angle to the hypotenuse?

A
2 cm
B
cm
Option B
C
4 cm
D
cm
Option D
9

Horizontal and parallel lines M Q and U R are intersected by 2 diagonal lines N S and P T to form triangle E G F. Line N S intersects line M Q at point E and intersects line U R at point F. Line P T intersects line M Q at point E and intersects line U R at point G.

Question illustration
A
∠MEG
B
∠NEG
C
∠PEQ
D
∠RFS
10

Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

Question illustration
A
No, ΔRST and ΔXYT are congruent but ΔRST cannot be mapped to ΔXYT using a series rigid transformations.
B
No, ΔRST and ΔXYT are not congruent.
C
Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
D
Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so that R is mapped to X.
11

Which statements regarding are true? Select three options.

Question illustration
A
E F + F G greater-than E G
Option A
B
E G + F G greater-than E F
Option B
C
E G minus F G less-than E F
Option C
D
E F minus F G greater-than E G
Option D
E
E G + E F less-than F G
Option E
12

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.

Question illustration
A
Yes, A ≅ D and AB ≅ DE.
Option A
B
Yes, they are congruent by either AAS or ASA.
C
No, C is not congruent to any angle in DEF.
Option C
D
No, the congruent sides do not correspond.
13

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Question illustration
A
(10, –2)
B
(–10, 2)
C
(–2, –10)
D
(2, 10)
14

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0).

Question illustration
A
3x + 5y = −9
B
3x + 5y = 9
C
5x − 3y = −15
D
5x − 3y = 15
15

Which statements about the diagram are true? Select three options.

A
x = 63
B
y = 47
C
z = 117
D
x + y = 180
E
x + z = 180
16

Angle KLM and angle MLN are a linear pair.

Question illustration
A
Angles RLN and MLK would be vertical angles.
B
Angles RLN and MLN would be vertical angles.
C
Angles RLN and KLM would be a linear pair.
D
Angles RLN and KLN would be a linear pair.
17

In the diagram, the ratios of two pairs of corresponding sides are equal.

Question illustration
A
∠N ≅ ∠Z
B
∠N ≅ ∠X
C
∠L ≅ ∠Z
D
∠L ≅ ∠Y
18

Triangles R S T and V U T are connected at point T.

Question illustration
A
RT = ST
B
3ST = UT
C
∠R ≅ ∠V
D
∠V ≅ ∠U
19

Pentagon ABCDE is dilated according to the ruleDO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

Question illustration
A
(-1, 1)
B
(-1, 2)
C
(-9, 6)
D
(-9, 18)
20

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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