AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYTransformations, Angles, Lines, and Triangles

Practice Test Answers

18 verified answers
1
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A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?

A
cap t sub 1 comma negative 9 times open paren x comma y close paren
B
cap t sub negative 1 comma negative 9 times open paren x comma y close paren
C
cap t sub negative 9 comma 1 times open paren x comma y close paren
D
cap t sub negative 9 comma negative 1 times open paren x comma y close paren
2
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Triangle ABC has the angle measures shown. m angle cap A is equal to 2 x degrees m angle cap b is equal to 5 x degrees m angle cap c is equal to 11 x degrees Which statement is true about the angles?

A
m angle cap A is equal to 20 degrees
B
angle cap A and angle cap b are complementary
C
m angle cap b is equal to 60 degrees
D
m angle cap A plus m angle cap c is equal to 120 degrees
3

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

A
Image with description Rectangle with four dashed diagonal lines. The dashed lines connect the midpoint of each side to the midpoint of the opposite adjacent side, forming a diamond shape inside the rectangle.
B
Image with description Rectangle with two dashed diagonal lines connecting opposite corners and intersecting at the center of the rectangle.
C
Image with description Rectangle with a dashed vertical line and a dashed horizontal line passing through the center of the rectangle.
D
Image with description Rectangle with two dashed diagonal lines connecting opposite corners and intersecting at the center. A dashed vertical line and a dashed horizontal line also pass through the center of the rectangle.
4

Which statement describes the order of rotational symmetry for an isosceles triangle?

A
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
B
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
C
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
D
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
5

Which diagram shows lines that must be parallel lines cut by a transversal?

A
Image with description Two left-to-right lines are crossed by a vertical transversal. At the upper intersection, the angle above the line and to the right of the transversal is labeled 91 degrees. At the lower intersection, the angle below the line and to the right of the transversal is labeled 91 degrees.
B
Image with description Two left-to-right lines are crossed by a vertical transversal. At the upper intersection, the angle below the line and to the right of the transversal is labeled 91 degrees. At the lower intersection, the angle above the line and to the right of the transversal is labeled 89 degrees.
C
Image with description Two left-to-right lines are crossed by a vertical transversal. At the upper intersection, the angle above the line and to the right of the transversal is labeled 89 degrees, and the angle below the line and to the right of the transversal is labeled 91 degrees. No angle measure is shown at the lower intersection.
D
Image with description Two left-to-right lines are crossed by a vertical transversal. At the upper intersection, the angle above the line and to the right of the transversal is labeled 91 degrees, and the angle below the line and to the left of the transversal is labeled 91 degrees. No angle measure is shown at the lower intersection.
6

A point has the coordinates open paren m comma 0 close paren and m is not equal to 0 Which reflection of the point will produce an image located at open paren 0 comma negative m close paren ?

A
a reflection of the point across the x -axis
B
a reflection of the point across the y -axis
C
a reflection of the point across the line y is equal to x
D
a reflection of the point across the line y is equal to negative x
7

Which diagram shows possible angle measures of a triangle?

A
Image with description A triangle has angles labeled 35 degrees at the lower-left vertex, 120 degrees at the top vertex, and 35 degrees at the lower-right vertex.
B
Image with description A triangle has angles labeled 30 degrees at the lower-left vertex, 120 degrees at the top vertex, and 20 degrees at the lower-right vertex.
C
Image with description A triangle has angles labeled 32 degrees at the lower-left vertex, 115 degrees at the top vertex, and 33 degrees at the lower-right vertex.
D
Image with description A triangle has angles labeled 35 degrees at the lower-left vertex, 115 degrees at the top vertex, and 25 degrees at the lower-right vertex.
8

Triangle EFG has vertices cap e times open paren negative 3 comma 4 close paren , cap f of open paren negative 5 comma negative 1 close paren , and cap g of open paren 1 comma 1 close paren The triangle is translated so that the coordinates of the image are cap e prime times open paren negative 1 comma 0 close paren , cap f prime times open paren negative 3 comma negative 5 close paren , and cap g prime times open paren 3 comma negative 3 close paren Which rule was used to translate the image?

A
cap t sub negative 4 comma negative 4 times open paren x comma y close paren
B
cap t sub negative 2 comma negative 4 times open paren x comma y close paren
C
cap t sub 2 comma negative 4 times open paren x comma y close paren
D
cap t sub 4 comma negative 4 times open paren x comma y close paren
9

Which rule describes the transformation?

A
cap r sub 0 comma 270 degrees
B
cap r sub 0 comma 90 degrees
C
cap r sub 0 comma 360 degrees
D
cap r sub 0 comma 180 degrees
10

Which new angle is created by extending one side of a triangle?

A
an adjacent interior angle
B
an exterior angle
C
a remote interior angle
D
a complementary angle
11

What is the value of g ?

A
g is equal to 75
B
g is equal to 105
C
g is equal to 100
D
g is equal to 80
12

Which pair of angles is supplementary?

A
angle YZX and angle UZT
B
angle RXZ and angle YXZ
C
angle WZX and angle XYZ
D
angle PXQ and angle RXS
13

Given the information in the diagram, which theorem best justifies why lines e and f must be parallel?

A
alternate interior angles theorem
B
same side interior angles theorem
C
converse of the alternate interior angles theorem
D
converse of the same side interior angles theorem
14

Quinton tried to transform triangle FGH according to the rule open paren x comma y close paren rightarrow open paren negative y comma x close paren Which best describes his attempt?

A
Correct. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative y comma x close paren .
B
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative x comma negative y close paren .
C
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren y comma negative x close paren .
D
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative y comma negative x close paren .
15

What is the rule for the reflection?

A
r sub y - axis times open paren x comma y close paren rightarrow open paren x comma negative y close paren
B
r sub x - axis times open paren x comma y close paren rightarrow open paren negative x comma y close paren
C
r sub x - axis times open paren x comma y close paren rightarrow open paren x comma negative y close paren
D
r sub y - axis times open paren x comma y close paren rightarrow open paren negative x comma y close paren
16

What is the value of m ?

A
m is equal to 78
B
m is equal to 68
C
m is equal to 102
D
m is equal to 112
17

In the diagram, the only figure that could be parallel to line c is

A
plane cap q .
B
line A .
C
line d .
D
line b .
18

Why are lines AC and RS skew lines?

A
They lie in different planes and will never intersect.
B
They lie in different planes but will intersect if a plane is drawn to contain both lines.
C
They lie in different planes and will be parallel if a plane is drawn to contain both lines.
D
They lie in the same plane but will never intersect.

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