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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

Given the previous result, it can be concluded that

$bar{A_4 C_4} \ "||" \ bar{PR}$ . Which of the following is the reason why?

If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.
If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel
If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel
If two lines are cut by a transversal and the sum of the measures of consecutive interior angles is 180°, then the lines are parallel