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Sas Sss Proof

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the missing piece of information required to prove these triangles congruent?

a)

QY ≅ QY

b)

NY ≅ PY

c)

∠N ≅ ∠P

d)

QY is the perpendicular bisector

2.

What is Statement?

a)

∠ABC ≌ ∠DCE

b)

∠BCA ≌ ∠CED

c)

∠CAB ≌ ∠EDC

d)

None of the following

3.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

4.

To prove two triangles are congruent using the SAS postulate, it is necessary to show that two sides and the angle ___________ those sides are congruent.

a)

Opposite

b)

Adjacent to

c)

Between

d)

Farthest from

5.

Which statement is true regarding the SAS postulate?

a)

It requires three sides of one triangle to be congruent to three sides of another triangle.

b)

It requires two angles and the side between them to be congruent.

c)

It requires two sides and the angle opposite to one of those sides to be congruent.

d)

It requires two sides and the included angle to be congruent.

6.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

7.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

8.

Which postulate can be used to prove that two triangles are congruent if three sides of one triangle are equal to three sides of another triangle?

a)

SAS Postulate

b)

SSS Postulate

c)

ASA Postulate

d)

AAS Postulate

9.

Suppose ∠ADB = 90°. Which of the following markings is needed in order to prove SAS congruence?

a)

CD ≡ BD

b)

CA ≡ BA

c)

∠C ≡ ∠B

d)

∠DAC ≡ ∠DAB

e)

None of the above

10.

What is statement #4?

a)

∆HFG≅∆IHF

b)

∆FHG≅∆IHF

c)

∆GFH≅∆IFH

d)

∆HFG≅∆IFH

11.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

12.

What are the 2 missing pieces of information?

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

13.

What is Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

14.

What is Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

15.

The three sides of one triangle are equal to the three corresponding sides of another triangle then the triangle is congruent by ———- criteria.

a)

A. SSS Criteria

b)

B. SAS criteria

c)

C. RHS Criteria

16.

Select the reason that best fits #2

a)

Given

b)

Reflexive property

c)

Alternate Interior Angles of Parallel Lines are Congruent

d)

Substitution Property

17.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

18.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

19.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

20.

What is the "reason" for step 2 of the proof?

a)

reflexive property

b)

proof

c)

SAS
≅ thrm

d)

given