Question

5. Justify the last two steps of the proof.

Given: RS = UT and RT = US

Prove: RST = UTS



proof | given


1. RS = UT | 1. Given

2. RT = US | 2. Given

3. ST = TS | 3. _____

4. RST = UTS | 4. _____

Answer 1

3. Reflexive Property

4. SSS

Explanation:

Answer 2

From the question it is given in a ΔRST and Δ UTS

RS = UT

RT = US

proof:

RS = UT {given}

RT = US {given}

ST = TS {Common}

Therefore, by SSS theorem ΔRST and Δ UTS is congurent

RST = UTS {SSS Theeorem}