Proof Quizizz

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

∠4 = ∠4

• Substitution Property of Equality
• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

• Definition of Congruent Angles
• Definition of Angle Bisector
• Angle Addition Postulate
• Definition of Right Angle

If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.

• Vertical Angles Theorem
• Definition of Congruent Angles
• Angle Addition Postulate

State the reason, given:

If B is the midpoint of RL, then RB=BL

• Definition of congruent segments

• Segment addition postulate

• Given

• Definition of midpoint

What reasons supports the statement?

• Symmetry Property

• Reflexive Property

• Transitive Property

• SSS

What reason supports the statement?

• Vertical angles are congruent.

• Parallel implies alternate interior angles are congruent.

• Parallel implies corresponding angles are congruent.

• Reflexive Property

What reason supports the statement?

• Parallel implies alternate interior angles are congruent.

• Parallel implies corresponding angles are congruent.

• Vertical angles are congruent.

• Reflexive Property

What is the missing piece of information required to prove these triangles congruent?

• QY ≅ QY
• NY ≅ PY
• ∠N ≅ ∠P
• QY is the perpendicular bisector

What is the "statement" for step 3 of the proof?

• HT=TA
• HA=AH
• MA=AM
• MA=MH