AnswersGeometryGeometric Transformations

Practice Test Answers

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1
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Which composition of transformations maps figure RSTUV to figure cap r double prime cap s double prime cap t double prime cap u double prime cap v double prime ?

A
a translation down followed by a reflection across line n
B
a reflection across line n followed by a translation down and to the right
C
a translation down followed by a 270 degrees rotation about point cap p
D
a reflection across line n followed by a 270 degrees rotation about point cap p
2
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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
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 .
B
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 .
C
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 .
D
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 .
3

Which angle corresponds to angle cap n ?

A
angle cap o
B
angle cap p prime
C
angle cap o prime
D
angle cap n prime
4

The first transformation for this composition is [________], and the second transformation is a translation down and to the right.

A
a 90 degrees clockwise rotation about point cap p
B
a 270 degrees clockwise rotation about point cap p
C
a 90 degrees clockwise rotation about point cap l
D
a 270 degrees clockwise rotation about point cap l
5

Which rule describes the transformation?

A
cap r sub 0 comma 180 degrees
B
cap r sub 0 comma 90 degrees
C
cap r sub 0 comma 270 degrees
D
cap r sub 0 comma 360 degrees
6

What is the rule for the reflection?

A
r sub y - axis times open paren x comma y close paren rightarrow open paren negative x comma y close paren
B
r sub y - axis times open paren x comma y close paren rightarrow open paren x comma negative y close paren
C
r sub x - axis times open paren x comma y close paren rightarrow open paren negative x comma y close paren
D
r sub x - axis times open paren x comma y close paren rightarrow open paren x comma negative y close paren
7

Triangle EFG has vertices E(−3, 4), F(−5,−1), and G(1, 1). The triangle is translated so that the coordinates of the image are E′⁡(−1, 0), F′⁡(−3,−5), and G′⁡(3,−3). 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 4 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 negative 2 comma negative 4 times open paren x comma y close paren
8

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

A
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
B
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
C
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
D
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
9

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

A
Image with description Rectangle with a dashed vertical line and a dashed horizontal line passing through the center of 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 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.
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.
10

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 negative 1 comma negative 9 times open paren x comma y close paren
B
cap t sub negative 9 comma negative 1 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 1 comma negative 9 times open paren x comma y close paren
11

A point has the coordinates (m, 0) and m≠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 y -axis
B
a reflection of the point across the line y is equal to x
C
a reflection of the point across the line y is equal to negative x
D
a reflection of the point across the x -axis
12

Which statement is true regarding the side in the image that corresponds to line segment BA ?

A
line segment ED corresponds to line segment BA because they are in the same position.
B
line segment EF corresponds to line segment BA because the transformation is isometric.
C
line segment BC corresponds to line segment BA because they are about the same length.
D
line segment FD corresponds to line segment BA because the length is not preserved.

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