Question

Look at point S in the triangle PQR.

Answer 1

circumcentre

Answer 2

thanks

Answer 3

Sonia constructed triangle ABC as shown in the figure below.

An cute scalene triangle ABC with vertex angle A is drawn.

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?

AAS because step 1 and step 2 are used to copy angles and step 3 is used to copy a segment.

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.

SAS because step 1 and step 2 are used to copy line segments and step 3 is used to copy the included angle.

AAS because step 1 and step 2 are used to copy line segments and step 3 is used to copy an angle.