Free Printable Geometry 4.1-4.2

1.

Are the two triangles congruent? Why or why not?

a)

Yes: SSA

b)

Yes: SAS

c)

No: SSA

d)

No: SAS

2.

Complete the congruency statement: $\Delta CQP\cong\Delta---$

a)

ABC

b)

CBA

c)

CAB

d)

BAC

3.

Are the triangles congruent? Why or why not?

a)

Yes: SAS

b)

Yes: AAS

c)

Yes: ASA

d)

No: not enough information

4.

If $\Delta ART\ \cong\Delta HIM$ then which of the following are true? (SELECT ALL THAT APPLY)

a)

$\angle A\cong\angle H$

b)

$\overline{RT}\ \cong\ \overline{IM}$

c)

$\overline{AR}\cong\overline{HI}$

d)

$\overline{AT}\cong\overline{MI}$

e)

$\angle T\cong\angle I$

5.

If $\Delta WEB\cong\Delta CAR$ then which of the following are true? (Select all that apply)

a)

$\Delta EBW\cong\Delta ARC$

b)

$\Delta RAC\cong\Delta BEW$

c)

$\Delta BWE\cong ARC$

6.

If M is the midpoint of $\overline{AB}\ and\ \overline{CD}$ , are the triangles congruent? If so, why?

a)

Yes: SAS

b)

Yes: SSS

c)

Yes: SSA

d)

No

7.

Are the triangles congruent? If so, why?

a)

Yes: SSS

b)

Yes: SAS

c)

Yes: SSA

d)

No

8.

Complete the congruency statement: $\Delta KAC\cong\Delta---$

(a)

9.

Which of the following are valid methods of proving triangles are congruent? (Select all that apply)

a)

AAA

b)

SSS

c)

SSA

d)

AAS

e)

SAS

10.

What is the official reason for why $\angle ACB\cong\angle PCQ$ ?

a)

Definition of vertical angles

b)

Vertical angles are congruent

c)

Definition of congruent angles

d)

CPCTC

11.

What is the official reason for why $\overline{AC}\cong\overline{AC}$ ?

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Definition of shared side

e)

CPCTC

12.

Are the triangles congruent? If so why?

a)

Yes: HL

b)

Yes: SAS

c)

Yes: SSA

d)

No

13.

If $\Delta PQR\cong\Delta PSR$ , then $\angle Q\cong\angle S$ because

a)

Vertical angles are congruent

b)

Definition of congruent angles

c)

CPCTC

d)

Definition of angle bisector

14.

Find the $m\angle1$ .

(a)

15.

Find the $m\angle2$ .

(a)

16.

Find the $m\angle3$ .

(a)

17.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

18.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

19.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

20.

Solve for x.

a)

16

b)

11

c)

50

d)

6

21.

Find the measure of angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

22.

What is m∠LNQ?

a)

121^o

b)

59^o

c)

98^o

d)

82^o

23.

$\overline{JK}\ \cong\ ?$

a)

$\overline{KJ}$

b)

$\overline{JK}$

c)

$\overline{XJ}$

d)

$\overline{KI}$

24.

$\overline{CB}\ \cong\ ?$

a)

$\angle I$

b)

$\overline{GI}$

c)

$\overline{IB}$

d)

$\overline{BG}$

25.

$\overline{LK}\ \cong\ ?$

a)

$\overline{JE}$

b)

$\overline{EJ}$

c)

$\overline{EF}$

d)

$\overline{FE}$

26.

$\overline{ML}\ \cong\ ?$

a)

$\overline{CL}$

b)

$\overline{LC}$

c)

$\overline{DC}$

d)

$\overline{NL}$

27.

$\overline{BC}\ \cong\ ?$

a)

$\overline{XW}$

b)

$\overline{WX}$

c)

$\overline{YX}$

d)

$\overline{XY}$

28.

Write a congruence statement for the triangles.

a)

$\Delta TUV\cong\Delta LJV$

b)

$\Delta TUV\cong\Delta JVL$

c)

$\Delta UTV\cong\Delta LVJ$

d)

$\Delta UTV\cong\Delta JVL$

29.

Write a congruence statement for the triangles.

a)

$\Delta SRT\cong\Delta WUS$

b)

$\Delta SRT\cong\Delta SUW$

c)

$\Delta STR\cong\Delta SUW$

d)

$\Delta TSR\cong\Delta USW$

30.

$\Delta RST\ \cong\ \Delta XYZ$ .

Which of the following can't be true?

a)

$\angle R\ \cong\ \angle X$

b)

$\angle T\ \cong\ \angle Z$

c)

$\overline{RT}\ \cong\ \overline{XZ}$

d)

$\overline{SR}\ \cong\ \overline{YZ}$

31.

$\Delta ABC\ \cong\ \Delta DEF$ , $m\angle A\ =\ 50\degree,$ and $m\angle E\ =\ 30\degree.$ What is $m\angle C$ ?

a)

$50\degree$

b)

$30\degree$

c)

$80\degree$

d)

$100\degree$

32.

Which pair of triangles can be proven congruent by the ASA postulate?

a)

b)

c)

d)

33.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

Geometry 4.1-4.2

Total questions: 33

Worksheet time: 36mins

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