Similarity and Transformations — Unit test

Question 1

Triangle LMN is reflected across a line, L = (12, –7), and L’ = (–7, 12). What is the line of reflection?

Revolt · Accepted Answer

the line y = x

Question 2

Point A is the pre-image of a vertex of a square and is located at (–10, 8). The square is dilated with the center of dilation at the origin. Point A’ is the image and is located at (–7.5, 6). What is the scale factor of the dilation?

Revolt · Accepted Answer

0.75

Question 3

Which statement is true of triangles FGH and JKL?

Revolt · Accepted Answer

They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.

Question 4

Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply.

Revolt · Accepted Answer

On a coordinate plane, a blue triangle has points (negative 1, 4), (negative 5, 4), (negative 1, 1). A red triangle has points (negative 4, negative 1), (negative 1, negative 1), (negative 4, negative 5).; On a coordinate plane, a blue triangle has points (1, 1), (4, 5), (4, 1). A red triangle has points (negative 1, 1), (negative 1, 4), (negative 5, 4).; On a coordinate plane, a blue triangle has points (negative 2, 5), (4, 5), (4, 1). A red triangle has points (negative 1, 4), (negative 5, 4), (negative 5, negative 2).

Question 5

Triangle 1 is transformed onto triangle 2 in the graph below.Which statement about the transformation is true?

Revolt · Accepted Answer

The transformation is a rotation because triangle 2 is a quarter turn of triangle 1.

Question 6

Kadesha says that the triangles represent a translation.Which explains whether Kadesha is correct?

Revolt · Accepted Answer

Kadesha is not correct because the number of units between points A and B is different than those between points and .

Question 7

Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7). What is the direction of the rotation?

Revolt · Accepted Answer

counter-clockwise

Question 8

Which statements about the dilation are true? Check all that apply.

Revolt · Accepted Answer

The center of dilation is point C.; It is a reduction.; The scale factor is .

Question 9

Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of the image of point ?

Revolt · Accepted Answer

(4, 2)

Similarity and Transformations — Unit test Answers

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