Parts of Proofs

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Tags

CCSS.HSG.CO.C.10

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent
• Congruent Parts of Congruent Triangles are Corresponding
• Colorful Pieces of Corresponding Triangles are Congruent
• Congruent Pieces of Congruent Triangles are Congruent

Tags

CCSS.HSG.SRT.B.5

When using hypotenuse leg (HL) in a proof, you must first state ...

• CPCTC.
• there are right triangles.
• that vertical angles are congruent.
• the reflexive property.

Tags

CCSS.HSG.SRT.B.5

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

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

Tags

CCSS.HSG.SRT.B.5

What is the "reason" for step 5 of the proof?

• Angle Bisector Theorem
• Reflexive property
• CPCTC Theorem
• Proof

Tags

CCSS.HSG.SRT.B.5

What is the "statement" for step 2 of the proof?

• AD=AD
• AD=DA
• HD=DN
• HA = AN

Tags

CCSS.HSG.SRT.B.5

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Definition of Right Angle
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Vertical Angles Theorem
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

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

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

Tags

CCSS.7.G.B.5

What reason supports the statement?

• Vertical angles are congruent.

• Parallel implies alternate interior angles are congruent.

• Parallel implies corresponding angles are congruent.

• Reflexive Property

Tags

CCSS.8.G.A.5