Question

‘ mark the diagrams with the appropriate congruent angles or sides. Don't forget to mark congruent sides for Reflexive Property and congruent angles for Vertical Angles Theorem ’

Answer 1

8. Congruent angles in the diagram: Vertical angles: RQT and ∠QPT are vertical angles, so they are congruent.

Congruent sides in the diagram:

• Reflexive property: QP is congruent to itself by the reflexive property.

• Angle bisector theorem: Since QP bisects RQT, we know that QP is congruent to QR and QT.

Vertical angles: RQT and ∠QPT

Angle bisector theorem: QP ≡ QR ≡QT

Vertical angles: Vertical angles are formed by two intersecting lines, and they are always congruent.

Angle bisector theorem: The angle bisector theorem states that if a segment bisects an angle, then the two segments created are congruent.