Question

Geometry help!

Answer 1

Which fact is not used to prove that PQR is similar to STR?

Segments ST and PQ are parallel.
Angle P is congruent to itself due to the reflexive property.
RP is a transversal line passing ST and PQ.
Angles RTS and RQP are congruent due to the Corresponding Angles Postulate.

Answer 2

@ganeshie8

Answer 3

My guess is D.

Answer 4

C i guess

Answer 5

@perl

Answer 6

Do you have an explanation as to why its c?

Answer 7

@Directrix Please help!

Answer 8

because we use everuthing others in the proof.

Answer 9

I marked up the diagram with the given options. To get the triangles similar by the AA Postulate, you need two pairs of congruent angles.

Answer 10

So A? st and pq are parallel?

Answer 11

You need this --> Segments ST and PQ are parallel.
to show Angles RTS and RQP are congruent due to the Corresponding Angles Postulate.

Answer 12

i also guess it is C, because the fact that segments ST and PQ are parallel is used to prove the cogruence of angles RTS and RQP, that is used in proving the similarity (in AA postulate), the fact about angle P is also used to complete the options for AA postulate

Answer 13

That gives you one pair of angles congruent.

The second pair comes from this: Angle P is congruent to itself due to the reflexive property.

Answer 14

And, that's all you need.

So, which option was not used?

Answer 15

C

Answer 16

P is one angle
RTS=RQP
These make up all necessary information for AA postulate.

Answer 17

option c

Answer 18

right

Answer 19

@Pico33 Which option was not used.

Answer 20

@Directrix C

Answer 21

the fact about transversal line is not used in proving the similaity of these two triangles

Answer 22

RP is a transversal line passing ST and PQ. Yes, it could have been used but did not fit in with the other statements to get two pairs of congruent angles congruent for the AA Postulate.

Answer 23

@Directrix Thanks m8 you're the best! :)