Question

Draw out the two triangles and state what triangle is congruent to what triangle and how we know.

a)ML congruent ZJ, LR congruent JB,Angle L congruent angle J

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Answer 1

To draw the two triangles and state what triangle is congruent to what triangle and how we know, we start by drawing two triangles, one with vertices M, L, and R, and the other with vertices Z, J, and B. We are given that ML is congruent to ZJ, LR is congruent to JB, and angle L is congruent to angle J.

We can use the Side-Angle-Side (SAS) congruence criterion to show that the two triangles are congruent. This criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

In this case, we have ML congruent to ZJ, LR congruent to JB, and angle L congruent to angle J. Therefore, we can conclude that triangle MLR is congruent to triangle ZJB by the SAS criterion.