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.

Question

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

Answer 1

Based on the given information, the correct conclusion is: triangleHIJ congruent to triangleLKJ by ASA. This is because angleH is congruent to angleL and side HL (segment HI and segment LJ together) is congruent to side LK, satisfying the ASA congruence criterion.