Question

Question 1: Please help, which will complete the proof to show that T is the midpoint of both PR and QS?

Answer 1

Angle-side-angle

Explanation:

PQRS is a parallelogram

In statement number 5, to give the reason, you should prove that the given triangles are congruent.

In both triangles PQT and RST we have:

• QT=TS(Diagonals in parallelogram)
• Angle PTQ=angle STR (vertically opposite angles)
• Also PT=TR (Diagonals in parallelogram)

This shows that both triangles are congruent by

S. A. S

Same for the other two triangles.

Answer 2

C

Explanation:

It two angles are equal along with the length of the sides in between then, then the lengths opposite to those angles will also be equal.