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S2 Quiz 1 - Congruent Triangles

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What additional piece of information is needed to prove ΔJKL≅ΔNOM\Delta JKL\cong\Delta NOM by ASA?

a)

∠M≅∠L\angle M\cong\angle L

b)

MO≅LKMO\cong LK

c)

JK≅NOJK\cong NO

d)

∠K≅∠N\angle K\cong\angle N

2.

What theorem shows that ΔACE≅ΔBCD\Delta ACE\cong\Delta BCD ?

a)

HL

b)

AAS

c)

ASA

d)

SAS

e)

NOT CONGRUENT

3.

What additional piece of information is needed to prove ΔDEF≅ΔPQR\Delta DEF\cong\Delta PQR by SAS?

a)

∠F≅∠R\angle F\cong\angle R

b)

∠D≅∠P\angle D\cong\angle P

c)

DF≅PRDF\cong PR

d)

EF≅QREF\cong QR

4.

ΔRQP≅ΔPSR\Delta RQP\cong\Delta PSR by SSS

Find the value of x.

Type in your answer as only a number (Ex: 35)

(a)  

5.

Which theorem shows ΔQMP≅ΔRNP\Delta QMP\cong\Delta RNP ?

a)

ASA

b)

AAS

c)

SAS

d)

HL

6.

Why is ΔABC≅ΔDEF\Delta ABC\cong\Delta DEF ?

a)

SSS

b)

SAS

c)

AAS

d)

HL

7.

Why is ΔGHJ≅ΔDEF\Delta GHJ\cong\Delta DEF ?

a)

SSS

b)

SAS

c)

AAS

d)

HL

8.

ΔABC\Delta ABC is an isosceles triangle.

What is the measure of <B?

Only type the number (Ex:12)

(a)  

9.

ΔABC\Delta ABC is an isosceles triangle.

What is the measure of ∠C\angle C ?

Only type the number (Ex:12)

(a)  

10.

ΔKLM\Delta KLM is an isosceles triangle.

Find the value of y.

(Hint: What do you know about the base angles in an isosceles triangle)

(a)  

11.

Are the two triangles congruent? If so, what theorem shows ΔVWU≅ΔYZX\Delta VWU\cong\Delta YZX ?

a)

Yes by SSS

b)

Yes by HL

c)

Yes by SAS

d)

The triangles are not congruent.

12.

Which statement is correct?

a)

ΔTNW≅ΔHCL\Delta TNW\cong\Delta HCL

b)

ΔNWT≅ΔCHL\Delta NWT\cong\Delta CHL

c)

ΔNWT≅ΔLCH\Delta NWT\cong\Delta LCH

d)

ΔWTN≅ΔHCL\Delta WTN\cong\Delta HCL

13.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

14.

What is the value of x?

a)

16

b)

60

c)

8

d)

not enough information

15.
Find x
a)
3
b)
4
c)
2
d)
10