Writing Proofs

What is the justification (reason)?

• Reflexive Property
• Symmetric Property
• Transitive Property
• Substitution

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

What is the justification (reason)?

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

Tags

CCSS.HSG.CO.C.10

Which of the following is the best option to fill in for blank #1 in the STATEMENTS section of this geometric proof?

• Given

• m∠1 + m∠3 = 180°

• ∠1 ≅ ∠4

• ∠1 and ∠3 are supplementary

Tags

CCSS.HSG.CO.C.9

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.HSG.CO.C.9

If <M = <L then <L = <M

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

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.HSG.CO.A.1

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

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

Tags

CCSS.HSG.CO.C.9

If ∠CAT is a right angle, then m∠CAT = 90°.

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

Tags

CCSS.HSG.CO.A.1

If AC ⊥ BD, then ∠DBC is a right angle.

• Definition of Perpendicular Lines
• Definition of Right Angle
• Angle Addition Postulate
• Segment Addition Postulate

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

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

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12