Unit 3 Test Review

What are the coordinates of the image of vertex R after a reflection across the y-axis?

• (-4, 3)

• (4, -3)

• (-3, -4)

• (3, 4)

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

• T_{1, -9}(x, y)

• T_{-1, -9}(x, y)

• T_-9,1(x, y)

• T_-9,-1(x, y)

Quinton tried to transform triangle FGH according to the rule (x, y) → (-y, x). Which best describes his attempt?

• Correct. He transformed the triangle according to the rule (x, y) --> (-y, x).

• Incorrect. He transformed the triangle according to the rule (x, y) --> (y, -x).

• Incorrect. He transformed the triangle according to the rule (x, y) --> (-y, -x).

• Incorrect. He transformed the triangle according to the rule (x, y) --> (-x, -y).

Which statements are true about trapezoid ABCD and its translated image A’B’C’D’? Select two options.

• The rule for the translation can be written as T_{-3, 1}(x, y).

• The rule for the translation can be written as T_{-1, 3} (x, y).

• The rule for the translation can be written as (x, y) --> (x+1, y-3).

• The rule for the translation can be written as (x, y) --> (x-3, y+1).

• Trapezoid ABCD has been translated 3 units to the right and 1 unit up.

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

• An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.

• An isosceles triangle has order 1 rotation symmetry because it does not have all congruent angles.

• An isosceles triangle has order 2 rotational symmetry because it has 1 pair of congruent angles.

• An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.

A transformation of △DEF results in △D’E’F’. Which transformation maps the pre-image to the image?

• The transformation is a dilation.

• The transformation is a reflection.

• The transformation is a rotation.

• The transformation is a translation.

Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?

• figure A

• figure B

• figure C

• figure D

A regular decagon has 10 sides. How many reflectional symmetries does a regular decagon have?

• 5

• 10

• 15

• 20

Triangle ABC was transformed to create triangle DEF.  Which statement is true regarding the side in the image that corresponds to  $\overline{BA}$  ?

•  $\overline{BC}$  corresponds to  $\overline{BA}$  because they are about the same length

•  $\overline{ED}$  corresponds to  $\overline{BA}$  because they are in the same position

•  $\overline{EF}$  corresponds to  $\overline{BA}$  because the transformation is isometric

•  $\overline{FD}$  corresponds to  $\overline{BA}$  because the length is not preserved

A composition of transformations maps △KLM to △K”L”M”. The first transformation for this composition is [___________] and the second transformation is a translation down and to the right.

• a 90° rotation about point L

• a 270° rotation about point L

• a 90° rotation about point P

• a 270° rotation about point P