Geometry Unit 4: Congruence Proofs...SSS n SAS Hypotenuse Leg HL Leg Angle Side Angle Angle Angle...

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Geometry Unit 4: Congruence Proofs Ms. Talhami 3 What does it mean for two triangles to be congruent? What does it mean for two triangles to be congruent? Congruence Statement/Corresponding Parts 1. You must name the vertices of the triangle in order! The parts of the triangles are corresponding. a b c d e f Proving Triangles Congruent 5 methods: 1. 3. 5. 2. 4. Same shape and same size GABCE ODEF eminder y Ccc A Ill 4 BAI CEB H ni Cc EB DB CBD KD DCB BCD 3 parts congruent parts side or angle Side Side Side Side Angle Side Right Triangle yn SSS n SAS Hypotenuse Leg HL Leg Angle Side Angle Angle Angle Side ASA n AAS D 7 11 SAA a

Transcript of Geometry Unit 4: Congruence Proofs...SSS n SAS Hypotenuse Leg HL Leg Angle Side Angle Angle Angle...

Page 1: Geometry Unit 4: Congruence Proofs...SSS n SAS Hypotenuse Leg HL Leg Angle Side Angle Angle Angle Side ASA n AAS D 7 11 SAA a Geometry Unit 4: Congruence Proofs Ms. Talhami 4 Examples

Geometry Unit 4: Congruence Proofs

Ms. Talhami 3

What does it mean for two triangles to be congruent?

What does it mean for two triangles to be congruent?

Congruence Statement/Corresponding Parts 1. You must name the vertices of the triangle in order! The parts of the triangles are corresponding.

a b c d

e f

Proving Triangles Congruent

5 methods: 1. 3. 5. 2. 4.

Same shape and same size

GABCE ODEF

emindery

CccA Ill4BAICEB

H

ni Cc

EBDBCBD

KD

DCB

BCD

3 parts congruent parts side or angleSide Side Side Side Angle Side RightTriangle ynSSS n SAS Hypotenuse Leg

HL LegAngle Side Angle Angle Angle SideASA n AASD 7 11

SAA a

Page 2: Geometry Unit 4: Congruence Proofs...SSS n SAS Hypotenuse Leg HL Leg Angle Side Angle Angle Angle Side ASA n AAS D 7 11 SAA a Geometry Unit 4: Congruence Proofs Ms. Talhami 4 Examples

Geometry Unit 4: Congruence Proofs

Ms. Talhami 4

Examples of the 5 Methods Used to Prove Triangles Congruent

Hidden Congruent Parts - Vertical Angles

Theorem: Intersecting Lines form Congruent Vertical Angles

Hidden Congruent Parts - Reflexive Property Property: Reflexive (Shared Sides/Shared Angles are congruent).

SSS SAS HL

AAS

ASA

xi AAS C

SAS

a a e

a

Ai QHL


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