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HG 3.1 Congruent figures

Total questions: 15

Worksheet time: 11mins

Name
Class
Date
1.

Given:  ΔABC ≅ΔXYZ\Delta ABC\ \cong\Delta XYZ  ,  BC‾≅?\overline{BC}\cong?  

a)

 BA‾\overline{BA}  

b)

 XY‾\overline{XY}  

c)

 YZ‾\overline{YZ}  

d)

 XZ‾\overline{XZ}  

2.

Given:  ΔABC ≅ΔXYZ\Delta ABC\ \cong\Delta XYZ  ,  ∠ Y ≅?\angle\ Y\ \cong?  

a)

 ∠A\angle A  

b)

 ∠ B\angle\ B  

c)

 ∠ C\angle\ C  

d)

Can't be determined

3.

Given:  ΔABC ≅ΔXYZ\Delta ABC\ \cong\Delta XYZ .  Is  ΔYZX ≅ΔCBA?\Delta YZX\ \cong\Delta CBA?  

a)

Yes

b)

No

c)

Can't be determined

4.

Given:  ΔCAT ≅ΔDOG, TC‾≅?\Delta CAT\ \cong\Delta DOG,\ \overline{TC}\cong?  

a)

 AT‾\overline{AT}  

b)

 OG‾\overline{OG}  

c)

 GD‾\overline{GD}  

d)

 ∠A\angle A  

5.

 OLAF≅SVEN, ∠V ≅?OLAF\cong SVEN,\ \angle V\ \cong?  

a)

 ∠L\angle L  

b)

 ∠N\angle N  

c)

 ∠A\angle A  

d)

 LA‾\overline{LA}  

6.

 PM‾≅PM‾  by   what   property?\overline{PM}\cong\overline{PM}\ \ by\ \ \ what\ \ \ property?  

a)

Subtraction Property

b)

Transitive Property

c)

Substitution Property

d)

Reflexive Property

7.

 ∠SEM≅∠PET by what reason?\angle SEM\cong\angle PET\ by\ what\ reason?  

a)

Reflexive Property

b)

Vertical angles are congruent

c)

If two angles have the same measure, then they are congruent

d)

Rotation Property

8.

Which congruency statement is correct for this diagram?

a)

ΔPUM≅ΔPMK\Delta PUM\cong\Delta PMK

b)

ΔPUM≅ΔPKM\Delta PUM\cong\Delta PKM

c)

ΔUPM≅ΔPKM\Delta UPM\cong\Delta PKM

d)

ΔUMK≅ΔUPK\Delta UMK\cong\Delta UPK

9.

If given M is the midpoint of UK‾\overline{UK} , what conclusion can you make?

a)

 UM‾≅KM‾\overline{UM}\cong\overline{KM}  

b)

 PU‾≅PK‾\overline{PU}\cong\overline{PK}  

c)

 ∠PMU≅∠PMK\angle PMU\cong\angle PMK  

d)

No conclusion can be drawn

10.

Why is SP‾≅MT‾\overline{SP}\cong\overline{MT} ? 

a)

Subtraction Property

b)

Addition Property

c)

Multiplication Property

d)

Division Property

11.

 ∠UDK≅∠IDN  by   what   reason?\angle UDK\cong\angle IDN\ \ by\ \ \ what\ \ \ reason?  

a)

Vertical angles are congruent

b)

Identity

c)

Reflexive Property

d)

Addition Property

12.

 Given: ΔPET≅ΔCAT, ∠T≅?Given:\ \Delta PET\cong\Delta CAT,\ \angle T\cong?  

a)

 ∠T\angle T  

b)

 ∠P\angle P  

c)

 ∠E\angle E  

d)

 ∠A\angle A  

13.

 Given: SM ‾⊥ MT‾  and TP‾ ⊥ MT‾, what do we know about ∠M and ∠T ? Given:\ \overline{SM\ }\perp\ \overline{MT}\ \ and\ \overline{TP}\ \perp\ \overline{MT},\ what\ do\ we\ know\ about\ \angle M\ and\ \angle T\ ?\   

a)

They are complementary.

b)

They are right angles. 

c)

They are supplementary.

d)

They are vertical angles.

14.

 If  ΔPUM ≅ ΔPKM, then they are an example of a If\ \ \Delta PUM\ \cong\ \Delta PKM,\ then\ they\ are\ an\ example\ of\ a\   ___________.

a)

Reflection

b)

Rotation

c)

Translation

d)

Pirate

15.

 If ΔSEM ≅ΔPET, then it is an example of aIf\ \Delta SEM\ \cong\Delta PET,\ then\ it\ is\ an\ example\ of\ a  _________.

a)

Reflection

b)

Rotation

c)

Translation

d)

Pumpkin