The figure below shows two triangles that were constructed using a compass and straightedge. Jemma used the AAS postulate to prove that triangle ABC is congruent to triangle DEF.

As part of the proof Jemma showed that angle BAC is congruent to angle EDF, and angle BCA is congruent to angle EFD. Using these two congruencies, which of these other steps would Jemma have likely performed to prove that the two triangles are congruent by the AAS postulate?

Question

The figure below shows two triangles that were constructed using a compass and straightedge. Jemma used the AAS postulate to prove that triangle ABC is congruent to triangle DEF.
 


As part of the proof Jemma showed that angle BAC is congruent to angle EDF, and angle BCA is congruent to angle EFD. Using these two congruencies, which of these other steps would Jemma have likely performed to prove that the two triangles are congruent by the AAS postulate?

anonymous · Answer

Place the compass on B and set the width to side BC.
Place the compass on A and set the width to side AC.
Place the compass on B and draw a pair of arcs that meet at C.
Place the compass on B and draw an arc that crosses side BC at X and side AB at Y.