HW(Due 09-29): Introduction to Proofs

What is the justification (reason)?

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

Tags

CCSS.HSG.CO.C.10

Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?

• m∠A + m∠B = 90
• A and B are both acute angles
• m∠A + m∠B = 180
• A and B are both obtuse angles

Tags

CCSS.7.G.B.5

Which is the correct reason for statement 1 in the proof?

• Definition of Congruent Angles
• Substitution
• Transitive Property
• Given

Tags

CCSS.7.G.B.5

Identify the  missing statement or reason

• Reflexive Property
• Definition of Midpoint
• Given
• Vertical Angles Theorem

Tags

CCSS.HSG.SRT.B.5

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

• Reflexive property
• They are congruent
• Congruent through the Side Angle Side Postulate
• Given

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

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

Tags

CCSS.7.G.B.5

Which is given in the diagram?

• BD ≅ BD
• AB ≅ BC
• D is the midpoint of AC
• ΔABD ≅ ΔCBD

Tags

CCSS.HSG.SRT.B.5

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

Angles  a and e are what type of angles?

• Vertical Angles
• Corresponding Angles
• Alternate Interior Angles
• Alternate Exterior Angles

Tags

CCSS.8.G.A.5