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Type: Multiple-Choice
Category: Similar and Congruent Figures
Level: Grade 10
Standards: HSG-SRT.A.3
Author: nsharp1
Created: 4 years ago

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Similar and Congruent Figures Question

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Let

$Delta ABC$ and

$Delta PQR$ be triangles such that

$ang A ~= ang P$ and

$ang B ~= ang Q$ . Assume that

$AB < PQ$ . The following questions will show, using similarity transformations, that if two angles of one triangle are congruent with two angles of another triangle, the triangles are similar.

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

Using the translation from the previous question, translate

$Delta ABC$ by

$T_x$ units horizontally and

$T_y$ units vertically, resulting in

$Delta A_2B_2C_2$ . The transformed point

$B_2$ is coincident with point Q. If we want point

$A_2$ to lie on line segment

$bar{PQ}$ , and it does not already, which of the following transformations would ensure that it does?

A reflection over the line $stackrel{leftrightarrow}{PR}$ .
A reflection about the y-axis.
A rotation by some angle $theta$ about the point Q.
A rotation by some angle $theta$ about the origin.