Free Printable Geometry Chapter 6 Review

1.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

2.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

3.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

4.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

5.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

6.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

7.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

8.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

9.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

10.

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

a)

No

b)

Sometimes

c)

Yes

d)

N/A

11.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

12.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

13.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

14.

Which of the following is not a valid reason to prove congruent triangles?

a)

SSA

b)

AAS

c)

SAS

d)

SSS

15.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

16.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

17.

We want to prove $\Delta DAB\cong\Delta BCD$ .

What is the reason $\angle CDB\cong\angle DBA$ is true?

a)

reflexive property

b)

alternate interior angles

c)

corresponding angles

d)

vertical angles

18.

We want to prove $\Delta DAB\cong\Delta BCD$ .

Which of the following statements can we use? Choose ALL that apply.

a)

$\angle DAB\cong\angle BCD$

b)

$\angle ADB\cong\angle CBD$

c)

$\angle CDB\cong\angle DBA$

d)

$\overline{DB}\cong\overline{DB}$

e)

$\overline{DC}\cong\overline{AB}$

19.

Are the two triangles congruent?

Select the correct congruence statement and reason. (Pay attention to the ORDER!)

a)

$\Delta ADC\cong\Delta ABD$ , by ASA

b)

$\Delta ADC\cong\Delta DAB$ , by ASA

c)

$\Delta ADC\cong\Delta ABD$ , by SAS

d)

$\Delta ADC\cong\Delta DAB$ , by SAS

20.

Are the triangles congruent? If yes, how?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

21.

Are the triangles congruent? If yes, how?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by ASA

d)

Not congruent

22.

For the given picture, EF = BC and AB = DE. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

HL

23.

Is there enough information to prove the triangles are congruent? If so, what triangle congruency postulate can be used?

a)

SSS

b)

ASA

c)

SAS

d)

HL

e)

Not Enough Information

24.

All corresponding angles in congruent figures are congruent.

a)

True

b)

False

25.

$\overline{CB}\ =\ ?$

a)

$\angle I$

b)

$\overline{GI}$

c)

$\overline{IB}$

d)

$\overline{BG}$

26.

What does x equal?

a)

9

b)

11

c)

17

27.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

28.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

29.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

30.

Using what you know about triangles and transversals.....What are the correct angle measures for a, b, and c?

a)

a = 118^o

b)

a = 30^o

c)

a = 148^o

d)

a = 62^o

31.

Which angles are Alternate Interior Angles?

a)

$\angle DAC\cong\angle BCA$

b)

$\angle DAB\cong\angle BCD$

c)

$\angle BAC\cong\angle DCA$

32.

Write the converse of the statement:

"If you are a twin, then you have a sibling."

a)

If you have a sibling, then you are not a twin.

b)

If you have a sibling, then you are a twin.

c)

If you are not a twin, then you do not have a sibling.

33.

Write the converse of: "If you are a senior, then you are in high school." Decide if it's true or false.

a)

If you are not a senior, then you are not in high school; false.

b)

If you are in high school, then you are a senior; false.

c)

If you are in high school, then you are senior; true.

d)

If you are a senior, then you are in high school; true.

34.

Write the converse of: "If an animal is a dog, then it is a golden retriever." Decide if it's true or false.

a)

If an animal is a golden retriever, then it is a dog; true

b)

If an animal is not a golden retriever, then it is not a dog; false

c)

If an animal is a dog, then it is a golden retriever; false

d)

If an animal is not a dog, then it is not a golden retriever; true

35.

Write a conditional statement for: "A student in the band plays the drums."

a)

If you play the drums, then you are in the band.

b)

If a student is in the band, then they play the drums.

c)

If a student is in the band, they they don't play the drums.

36.

Write a conditional statement for: "Drinking milk makes you strong."

a)

If you drink milk, then you are not strong.

b)

If you are strong, then you drink milk.

c)

If you drink milk, then you are strong.

37.

What is the converse to this statement?

a)

If it isn't dark outside, then it is not night.

b)

If it is night, then it is dark outside

c)

If it is not night, then it is not dark outside.

d)

It is night.

38.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

39.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

a)

If an object can fly, then it is a bird.

b)

If an object is not a bird, then it cannot fly

c)

If an object cannot fly, then it is not a bird

d)

There is no converse of the statement

40.

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

a)

If an angle is acute, then it has a measure less than 90°.

b)

If an angle is not acute, then it does not have a measure less than 90°.

c)

If an angle is acute, then it is acute.

d)

If an angle does not measure less than 90°, then it is not acute.

41.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

42.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

43.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

44.

If ▵ABC ⩭ ▵RQP, what is

the length of QP?

a)

3

b)

2

c)

6

d)

13

45.

In the figure below, ▵ABC ⩭ ▵KLJ. Determine the length of AB.

a)

19

b)

4

c)

24

d)

9

Geometry Chapter 6 Review

Total questions: 45

Worksheet time: 2hrs 34mins

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