Question

5. Justify the last two steps of the proof.

(4 points)

Given: RS UT and RT US

Prove: ARST AUTS

T

0

Proof:

1. RSU

2. RT & US

3. ST & TS

4. ARST AUTS

1. Given

2. Given

3. ?

4. ?

E

Answer 1

Answer:

ST & TS are congruent

RST and UTS are congruent

Step-by-step explanation:

The question is not properly presented; however, I've added an attachment to give a clear picture of the question.

Required

State the property that justifies:

$ST = TS$

Triangles $RST = UTS$

From the question, we have that:

$RS = UT$

$RT = US$

In plane geometry, the length of ST is still the same as the length of TS.

This implies that:

$ST = TS$ because ST is congruent to TS

Moving further to determine the relationship between triangles $RST\ \&\ UTS$

Comparing both triangles:

They have a similar side ST and TS because $ST = TS$

And we also have that: $RS = UT$

So, we can conclude that: $RST = UTS$ because they are congruent

Answer 2

Your question isn't 100% clear to me but I did my best:

1. RS = UT           Given

2. RT = US          Given

3. ST = TS           Reflexive Property of Congruence

4. RST = UTS      SSS (Side-Side-Side)