Question

1. two constellations are represented by figures in a coordinate - plane. are the figures congruent? 12. your friend draws two triangles such that the shortest and longest sides are congruent. must the triangles be congruent? explain your reasoning.

Explanation:

Step1: Recall congruence criteria

Two triangles are congruent if their corresponding sides and angles are equal. Just knowing that the longest and shortest sides are congruent is not enough.

Step2: Analyze missing - information

We don't know about the third - side lengths and the angles. There could be different non - congruent triangles with two congruent sides. For example, one triangle could be acute and the other obtuse with the same longest and shortest side lengths.

Answer:

No, the triangles are not necessarily congruent. Just because the longest and shortest sides are congruent, we don't have enough information about the third side and the angles to determine congruence.