Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

t is the midpoint of \\( \\overline { p r } \\) and \\( \\overline { q …

Question

t is the midpoint of \\( \overline { p r } \\) and \\( \overline { q s } \\). complete the proof that \\( \triangle p s t \cong \triangle r q t \\).

Explanation:

Step1: Vertical angles definition

Vertical angles are the angles opposite each other when two lines cross. In this case, \(\angle PTS\) and \(\angle QTR\) are vertical angles.

Step2: Vertical angles property

By the property of vertical angles, vertical angles are congruent. So, \(\angle PTS\cong\angle QTR\)

Answer:

Vertical angles are congruent