Congruence and Transformations — Unit test Answers

Triangle A’B’C’ is the image of triangle ABC. Which transformations could have been used to create A’B’C’ ? Choose all that apply.

In the diagram below, trapezoid ABCD maps to trapezoid A¢B¢C¢D¢. Which angle corresponds to angle C¢?angle

Jay is measuring the sides and angles of a number of triangles looking for a triangle that is congruent to triangle XYZ below. Which set of side lengths could come from a congruent triangle?

Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray will A’ be located?

Which sequence of transformations would result in an image that is similar and non-congruent to the pre-image? Assume that any scale factor for the dilations is not equal to 1. Check all that apply.

What is true about the rotation of the shaded triangle to the position of the unshaded triangle? Check all that apply.

Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. His friend Josiah is trying to prove that a reflection across the x-axis followed by a reflection across the y-axis will result in a reflection across the line y = x for a pre-image in quadrant II. Which student is correct, and which statements below will help him prove his conjecture? Select the three correct answers.

Which pair of segments are corresponding parts of the congruent quadrilaterals that are pictured below?

A dilation produces a larger figure. Which is a possible scale factor?

In triangle VWX, VW = 4.5 inches, WX = 5.9 inches, , and . If , which statement is true?

Which choices correctly describe reflections in the diagram? Check all that apply.

A translation is shown on the grid below.Which are true statements about the translation? Select 3 options.

Figure RST on the graph is reflected over the y-axis creating figure R’S’T’. Figure R’S’T’ is translated down 2 units and left 1 unit creating R’’S’’T’’. Tyler knows that RST R’S’T’ because reflections produce congruent figures. He also knows that R’S’T’ R’’S’’T’’ because translations produce congruent figures. What can Tyler determine based on these two statements? Check all that apply.

Which could a translation result in? Select all that apply.

Samantha measured two of the angles in and found that they had measures of 65° and 70°. Then, she measured two of the angles in and found that they had measures of 65° and 45°. What statement best describes the two triangles?