Question

Question

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

Answer 1

Based on the given information, we can conclude that triangle HIJ is congruent to triangle LKJ by ASA (Angle-Side-Angle) congruence. This is because angle H is congruent to angle L, and the segments HJ and LJ are congruent.