Question

Given ∠ ABC, describe how to construct ∠ PQR congruent to ABC

using each of the following combinations. Two sides of ∠ ABC and an
angle included between these two sides.

Answer 1

To construct an angle congruent to another angle, you can use two sides of the given angle and an angle included between these two sides.

Step-by-step explanation:

To construct ∠PQR congruent to ∠ABC, you can use the combination of two sides of ∠ABC and an angle included between these two sides. Here are the steps:

1. Draw a line segment PQ that is congruent to side AB of ∠ABC.
2. Select a point P on line segment PQ.
3. Using a compass, draw an arc of the same length as side AC of ∠ABC to intersect the line segment PQ at point R.
4. Draw a line segment PR.
5. The angle ∠PQR is congruent to ∠ABC.