Proving Two Sides are Equal Using CPCTC - Congruent Triangles

What is the first step in proving that line AD is congruent to line CD?

• Measure the angles directly

• Assume the lines are equal

• Prove that the triangles are congruent

• Use a ruler to measure the lines

Which of the following is a given statement in the proof?

• Angle D is congruent to angle C

• Line AD is congruent to line CD

• Line AB is congruent to line CB

• Angle A is congruent to angle B

What does it mean when an angle is bisected?

• The angle is divided into two equal parts

• The angle is reduced by half

• The angle is doubled

• The angle is ignored in the proof

Which congruence criterion is used to prove the triangles are congruent?

• Side-Angle-Side

• Angle-Angle-Side

• Angle-Side-Angle

• Side-Side-Side

Why can we conclude that line AD is congruent to line CD?

• Because they are parallel

• Because they are perpendicular

• Because corresponding parts of congruent triangles are equal

• Because they are both bisected