Similarity Transformations — Test

Question 1

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Revolt · Accepted Answer

No, because corresponding sides have different slopes.; No, because the center of dilation is not at open paren 0 comma 0 close paren .

Question 2

Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

Revolt · Accepted Answer

a dilation and a rotation

Question 3

Why is the information in the diagram enough to determine that triangle LMN approximates triangle PON using a rotation about point cap n and a dilation?

Revolt · Accepted Answer

because angle MNL and angle ONP are congruent angles

Question 4

What are the coordinates of vertex cap j of the pre-image?

Revolt · Accepted Answer

open paren 0 comma negative 1 close paren

Question 5

We are given line segment AB is parallel to line segment DE Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal line segment CB and are therefore congruent, so angle CED is congruent to angle CBA We can state angle cap c is congruent to angle cap c using the reflexive property. Therefore, triangle ACB approximates triangle DCE by the

Revolt · Accepted Answer

AA similarity theorem.

Similarity Transformations — Test Answers

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