Question

Write out, in paragraph form, a plan for completing the following proof.

Answer 1

Congruent triangles have equal corresponding sides and angles

Angles RAT and QAS are congruent

How to prove that angles RAT and QAS are congruent

Given that:

AR= AQ and RT=QS

Subtract QS from both sides of the second equation

RT-ST=QS-ST

The above equation means that:

RS = QT or

RS = TQ

In triangle ARQ,

Angles R and Q are congruent because the base angles of an isosceles triangle are congruent.

So, we have:

Angle R = Angle Q

Also,

Angle ARS is congruent to ATQ.

The above means that:

Side lengths AT and AS are congruent

So, we have:

AT=AS ---- The base angles of an isosceles triangle ATS

Because of the above highlights,

Angle 1 = Angle 3

Add angle 2 to both sides

Angle 1 + Angle 2 = Angle 3 + Angle 2

So, we have:

Angle RAT = Angle QAS

Hence, angles RAT and QAS are congruent

Read more about congruent triangles at:

brainly.com/question/1675117