Unit 4 Review

Triangle Congruence Theorems (SAS, SSS, ASA etc.)

100

Are these triangles congruent? Write the congruence theorem.

SSS

200

Are these triangles congruent? Write the congruence theorem.

HL (hypotenuse leg)

300

Are these triangles congruent? Write the congruence theorem.

SAS

400

Are these triangles congruent? Write the congruence theorem.

SSS

500

Are these triangles congruent? Write the congruence theorem.

No, they're not congruent

Missing sides of triangles

100

Find side PQ and SR

Side PQ= 5

Side SR= 6

200

∆PQZ≅∆TRS

Find side AC and AD

AC= 10

AD= 4

300

∆XWY≅∆YZX

Solve for p and q

p= 1

q= 4

400

∆ABC≅∆DEC

Find side AD

Side AD= 8

500

∆ABC≅∆DEC

Find side AB

AB= 6

Triangle Congruence Proofs

300

Prove triangle MOK is congruent to TOK

OK bisects angle MOT          Given

OM≅OT                              Given

∠MOK≅∠TOK                   Definition of angle bisector

OK≅OK                           Reflexive property

△MOK≅TOK                     SAS congruence

400

Prove side YA is congruent to side ZA

BA ⊥  YZ                           Given

BA bisects ∠YBZ                Given

∠YAB≅∠ZAB                   Definition of ⊥ lines

∠YBA≅∠ZBA                Definition of angle bisector 

△BYA≅BZA                     ASA congruence

500

Prove angle PQR is congruent to angle STR

QT bisects PS                           Given

∠QPR≅∠TSR                             Given

PR≅ RS                  Definition of segment bisector

∠QRP≅∠TRS               Definition of vertical angles 

△PQR≅STR                     ASA congruence

∠PQR≅∠STR                            CPCTC

Missing sides or angles of quadrilaterals

100

Find side FG of rectangle EFGH

23

200

Find angles BDC and ADC

Angle BDC= 60 degrees

Angle ADC= 125 degrees

300

Square CDEF

What is the area?

625 ft²

400

Find angle URS

110 degrees

500

Find the area of parallelogram ABCD

54