Question

The figure below shows two triangles that were constructed using a compass and straightedge. Riley used the SAS postulate to prove that triangle PQR is congruent to triangle LMN.
As part of the proof Riley showed that side PQ is congruent to side LM. Using this congruency, which of these other steps would Riley have likely performed to prove that the two triangles are congruent by the SAS postulate?
A.) Place the compass on L and set the width to LM.
B.) Place the compass on L and draw an arc that passes through points N and M.
C.) Place the compass on R and draw an arc to cross side QR at

Answer 1

@ash2326 can you help me with this problem

Answer 2

brb

Answer 3

Are you here?

Answer 4

yes

Answer 5

Sorry, I kept you waiting

Answer 6

its ok

Answer 7

It's given that the two triangles were constructed and were proved congruent using SAS
Here PQ= LM
there are three options
Let's read what each says

Answer 8

A.) Place the compass on L and set the width to LM.
This one is a valid step to measure LM and then draw PQ equal to LM

Answer 9

b) Place the compass on L and draw an arc that passes through points N and M
This will make LN=LM but we are not provided with any such info, so this is a wrong step

Answer 10

c) Place the compass on R and draw an arc to cross side QR at...
@Robb828 I think the last part is missing

Answer 11

it is give me a sec

Answer 12

C.) Place the compass on R and draw an arc to cross side QR at X and side RP at Y. Place the compass on X and set the width of the compass to segment XY.
D.) Place the compass on P and draw an arc to cross side PR at X and side PQ at Y. Place the compass on X and set the width of the compass to segment XY.

Answer 13

Both of these steps intend to create extra segment XY (not shown anywhere), so these two are also not correct steps

Answer 14

so its A?

Answer 15

Yeah:)

Answer 16

thank you :)