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.

Answer 1

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?

Place the compass on L and set the width to LM.
Place the compass on L and draw an arc that passes through points N and M.
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.
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 2

@jim_thompson5910

Answer 3

How many possible choices?

Answer 4

4 @jim_thompson5910

Answer 5

let me put that right
-Place the compass on L and set the width to LM.
-Place the compass on L and draw an arc that passes through points N and M.
-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.
-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.
@jim_thompson5910

Answer 6

ah much better

Answer 7

You're trying to show that angle P = angle L, so you would follow choice D to do that.


So the answer is choice D