Question

Sonia constructed triangle ABC.
The following are some of the steps she took while constructing a triangle congruent to triangle ABC.

Step 1: With the compass on A set the width to side AC.
Step 2: With the compass on A set the width to side AB
Step 3: With the compass on A draw an arc to cut side AC at X and side AB at Y. Place the compass on X and set the width to segment XY.

Which congruency postulate did Sonia likely have in mind while constructing the congruent triangle?

Answer 1

A. AAS because step 1 and step 2 are used to copy angles and step 3 is used to copy a segment.
B. AAS because step 1 and step 2 are used to copy line segments and step 3 is used to copy an angle.
C. SAS because step 1 and step 2 are used to copy line segments and step 3 is used to copy the included angle.
my guess(D). SAS because step 1 and step 2 are used to copy line segments and step 3 is used to copy the angle opposite to one of the congruent sides.

Answer 2

C. SAS

Answer 3

due to the SIDE ANGLE SIDE prosulataion!

Answer 4

Thank you!