Question

Jim makes the chart shown below to prove that Triangle APD is congruent to triangle BPC:

Which of the following completes Jim’s proof?

1.) ASA postulate
2.) HL postulate
3.) SAS postulate
4.) SSS postulate

Answer 1

SAS Postulate

Answer 2

Given a square ABCD and an equilateral triangle DPC and given a chart with which Jim is using to prove that triangle APD is congruent to triangle BPC.

From the chart, it can be seen that Jim proved that two corresponding sides of both triangles are congruent and that the angle between those two sides for both triangles are also congruent.

Therefore, the justification to complete Jim's proof is "SAS postulate"

Explanation: