Question

Multiple Choice
angleABCcongruent to _______. Triangle NPM and triangle BCA are shown.Two triangle are shown. One triangle has vertices Upper N, P, and M and the other has vertices Upper A, C, and B. Angle Upper N is marked as congruent to angle Upper B. Angle Upper P is marked as congruent to angle Upper C. Angle M is marked as congruent to angle A. Side P M is marked as congruent to side A C. Side M N is marked as congruent to side A B. Side N P is marked as congruent to side B C.
(1 point)
Responses

anglePMN
Image with alt text: angle PMN

angleNPM
Image with alt text: angle NPM

angleNMP
Image with alt text: angle NMP

angleMNP

Which pair of triangles is congruent by ASA?
(1 point)
Responses

triangles
Image with alt text: triangles

triangles
Image with alt text: triangles

triangles
Image with alt text: triangles

triangles
Based on the given information, what can you conclude, and why? Two triangles are formed by intersecting segments. Segment I L intersects segment H K at point J. I and H are connected by a segment. K and L are connected by a segment.

Given: angleH congruent to angleL, modifying above H J with barcongruent to modifying above J L with bar
(1 point)
Responses

triangleHIJ congruent to triangleLKJ by ASA
Image with alt text: triangle HIJ Image with alt text: congruent to Image with alt text: triangle LKJ by ASA

triangleHIJ congruent totriangleJLK by SAS
Image with alt text: triangle HIJ Image with alt text: congruent to Image with alt text: triangle JLK by SAS

triangleHIJ congruent totriangleJLK by ASA
Image with alt text: triangle HIJ Image with alt text: congruent to Image with alt text: triangle JLK by ASA

triangleHIJ congruent totriangleLKJ by SAS
Image with alt text: triangle HIJ Image with alt text: congruent to Image with alt text: triangle LKJ by SAS
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Answer 1

The correct answers are:

1. Angle NPM
2. Triangles triangleNPM and triangleBCA
3. TriangleHIJ congruent to triangleJLK by ASA