AnswersCR CCSS Math 2 S2 M2960OXDirected Line Segments and Modeling

Directed Line Segments and Modeling — Cumulative exam Answers

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A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

A
10
B
12
C
18
D
20
2
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What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

A
m∠A = 64° and AB = MQ = 31 cm
B
CB = MQ = 29 cm
C
m∠Q = 56° and CB ≅ RQ
D
m∠R = 60° and AB ≅ MQ
E
AB = QR = 31 cm
3

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.
4

Line ST and point V are shown on the graph.

Question illustration
A
−7
B
−5
C
2
D
3
5

What are the coordinates of the midpoint of EF if point E is located at (–12, 5) and point F is located at (7, –9)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

If and , which describes all the lines that must be parallel?

Question illustration
A
Only lines r and s must be parallel.
B
Only lines t and u must be parallel.
C
Lines r and s and lines t and u must be parallel.
D
Neither lines r and s nor lines t and u must be parallel.
7

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
8

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Question illustration
A
a dilation with a scale factor less than 1 and then a reflection
B
a dilation with a scale factor less than 1 and then a translation
C
a dilation with a scale factor greater than 1 and then a reflection
D
a dilation with a scale factor greater than 1 and then a translation
9

Triangle ABC is isosceles.

Question illustration
A
25°
B
30°
C
60°
D
75°
10

Which correctly describes how to determine the measure of angle 1?

Question illustration
A
The 81° angle and angle 2 are corresponding angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.
B
The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.
C
The 81° angle and angle 2 are corresponding angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.
D
The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.
11

Triangle N L M is reflected over a line to form triangle A B C.

Question illustration
A
ΔNLM ≅ ΔCAB
B
ΔNLM ≅ ΔCBA
C
ΔNLM ≅ ΔBCA
D
ΔNLM ≅ ΔBAC
12

Four points partition the directed line segment from A to B.• Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio.

Question illustration
A
P
B
Q
C
R
D
S
13

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.

Question illustration
A
HL
B
SAS
C
SSS
D
ASA
E
AAS
14

Figure RHOM is a rhombus. and are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: HOM, MHR, RHO, and OMR.

Question illustration
A
It must be acute.
B
It must be a right angle.
C
It must be equal to MRH.
Option C
D
It must be equal to RMS.
Option D
15

Question text not available

Question illustration
A
If a triangle is equilateral, then the triangle must also be isosceles.
B
If a triangle is isosceles, then the triangle must also be equilateral.
C
If a triangle is isosceles, then the triangle will never also be equilateral.
D
If a triangle is equilateral, then the triangle will not always be isosceles.
16

What is the contrapositive of the statement?All squares are rectangles.

A
If a figure is a square, then it is a rectangle.
B
If a figure is a rectangle, then it is a square.
C
If a figure is not a square, then it is not a rectangle.
D
If a figure is not a rectangle, then it is not a square.
17

Triangle ABC has the angle measures shown.

Question illustration
A
Measure of angle A = 20 degrees
Option A
B
Measure of angle B = 60 degrees
Option B
C
are complementary
Option C
D
Measure of angle A + measure of angle C = 100 degrees
Option D
18

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)
19

Quadrilateral A B C D is translated up and to the right and then is rotated 180 degrees about point Q to form quadrilateral X Y Z W.

Question illustration
A
ABCD ≅ WXYZ
B
ABCD ≅ ZYXW
C
ABCD ≅ WZYX
D
ABCD ≅ ZWXY
20

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

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