Unit 3 Study Guide (Congruence)

If ΔKPL ≅ ΔACM, complete each part.

• CM

• ∠M ≅

• ∠C

• AC ≅

• ∠L

• PL ≅

• AM

• KL ≅

• KP

• ∠P ≅

Write three valid congruency statements.

*Pick 3 answers!

• ΔQPR ≅ ΔTUS

• ΔPQR ≅ ΔUTS

• ΔRPQ ≅ ΔSUT

• ΔQPR ≅ ΔTSU

If ΔABC ≅ ΔXYZ, which statement is true?

• AB ≅ XY

• AB ≅ XZ

• AB ≅ YX

• BC ≅ CB

Suppose ∠X ≅ ∠X, ∠S ≅ ∠G, ∠F ≅ ∠T, SX ≅ GX, SF ≅ GT, and XF ≅ XT. Which of the followig must be true?

• ΔXSF ≅ ΔXTG

• ΔFXS ≅ ΔXGT

• ΔSXF ≅ ΔGXT

• ΔFXS ≅ ΔGXT

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

• AAS

• 
• HL

• 
• SSS

• 
• ASA

• 
• SAS

• 

Determine if the triangles can be proved congruent.

• SAS

• ASA

• AAS

• Not Congruent

Complete the proof.

d

c

b

a

SAS

∠ZXV ≅ ∠YXV

Given

XV ≅ XV

Complete the proof.

e

d

c

b

a

AAS

∠QPR ≅ ∠SRP

Given

Reflexive Property

PQ ∥ RS

Complete the proof.

e

d

c

b

a

CB ≅ EB

Given

SSS

Given

AB ≅ DB

Complete the proof.

a

b

c

d

e

△JKL ≅ △LMJ

JK ≅ LM

Reflexive Property

CPCTC

Given