Unit 2: Proofs for Geometry

If a = 2b, then a - c = 2b - c

• Reflexive Property

• Subtraction Property of Equality

• Transitive Property

• Distributive Property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

K is the midpoint of JL, M is the midpoint of LN, JK = MN

• Given

• Substitution

• Reflexive Property

• Symmetric Property

Tags

CCSS.HSG.CO.C.10

What is Symmetric Property ?

• a-c = b-c

• a=c

• a × c = b × c

• If a=b, then b=a

A common format used to organize proof

• Right Side

• One-Column Proof

• Left Side

• Two-Column Proof

What is the reason for this statement: -7x - 14 + 4x = 12x - 24

• Subtraction Property

• Combine Like Terms

• Distributive Property

• Turtles

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is Transative ?

• replaced a number of the equation

• replaced the whole side of the equation

• alligator

• segments

What is the reason for this statement: AC + CD = AD

• Definition of Congruency

• Transative Property

• Segment Addition Postulate

• Given

What is one reason why sides are congruent

• Reflexive Property

• They like popsicles

• Vertical

• They are bestfriends

Tags

CCSS.HSG.SRT.B.5

What are the 5 methods used to prove two triangles are congruent

• RUG, MUG, BUG, JUG, HUG

• SSS, SAS, ASA, AAS, HL

• ABC, 123, 123, ABC,ATP

• XYZ, ABC, HL, DEF, HIJ

Tags

CCSS.HSG.SRT.B.5

Are these triangles congruent ?

• Yes

• No

Tags

CCSS.HSG.SRT.B.5