Free Printable Final Triangle Review

1.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

2.

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

no, not enough information

3.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

SSS

4.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

5.

State if the triangles are congruent and why.

a)

Not congruent

b)

AAS

c)

SSS

d)

ASA

6.

State if the triangles are congruent and why.

a)

AAS

b)

ASA

c)

Not congruent

d)

SSS

7.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

a)

yes, ASA

b)

yes, AAS

c)

yes, SAS

d)

Not congruent, not enough information.

8.

Including the Reflexive Property, which theorem proves the triangles are congruent.

a)

ASA

b)

SSS

c)

SAS

d)

AAS

9.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and if so, why.

a)

yes by HL

b)

yes, by SAS

c)

No, not congruent there is no AAA theorem

d)

yes, by AAS

10.

Using the Reflexive Property, which theorem proves that the triangles are congruent.

a)

SAS

b)

AAS

c)

ASA

d)

HL

11.

What additional information is needed to prove the triangles congruent by SSS?

a)

A

b)

B

c)

C

d)

D

12.

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

13.

Which scale factors would increase an image?

a)

$\frac{3}{2}$

b)

$\frac{1}{2}$

c)

$3.5$

d)

$\frac{2}{1}$

e)

5

14.

Which scale factors shrink an image?

a)

$0.5$

b)

$\frac{3}{4}$

c)

$1$

d)

$\frac{2}{1}$

e)

$\frac{3}{2}$

15.

Warm-up: What does the scale factor do in a dilation?

a)

Tells you how much the image grows or shrinks

b)

Tells you what the center of dilation is

c)

There's not enough information here to answer this

d)

Nothing, it's unnecessary information

16.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

17.

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

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

18.

Which proportion would allow you to solve for the missing side, x?

a)

A

b)

B

c)

C

d)

D

19.

What is true about the shape and size of similar figures?

a)

Same shape and same size

b)

Same shape and not the same size

c)

Different shape and same size

d)

Different shape and not the same size

20.

The term "corresponding" means ...

a)

congruent

b)

similar

c)

matching

d)

multiply

21.

What is true about the sides of similar figures?

a)

Corresponding sides are proportional.

b)

Corresponding sides are congruent.

c)

Opposite sides are proportional.

d)

Opposite sides are congruent.

22.

Solve the proportion:

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

23.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

24.

Choose the correct ratio.

a)

sin^-1(9/20)

b)

cos^-1(9/20)

c)

tan^-1(9/20)

d)

cos^-1(20/9)

25.

If the scale factor is 1/2 what happens to an image?

a)

Nothing

b)

It gets larger

c)

It flips

d)

It decreases in size.

26.

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

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

27.

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

28.

The Pythagorean Theorem ONLY works on which triangle?

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

29.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

30.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

31.

The Pythagorean is used to find what

a)

missing sides only

b)

missing angles only

c)

either missing sides or angles

32.

Which is a Pythagorean Triple?

a)

5,10,12

b)

4,12,13

c)

6,9,12

d)

3,4,5

33.

Which is a Pythagorean Triple?

a)

4,4,8

b)

5,12,13

c)

1,2,3

d)

10,15,25

34.

Which is a Pythagorean Triple?

a)

4,5,12

b)

8,15,17

c)

7,21,28

d)

9,27,36

35.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

36.

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

37.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

38.

How long is side c?

a)

1

b)

2

c)

$\sqrt{2}$

d)

$\sqrt{3}$

39.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

40.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

41.

Which one is one of the easy ways to learn trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

42.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

43.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

44.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

45.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

46.

Choose the correct trig function

a)

Sine

b)

Cosine

c)

Tangent

47.

Choose the correct trig funtion

a)

Sine

b)

Cosine

c)

Tangent

48.

Choose the correct trig function

a)

Sine

b)

Cosine

c)

Tangent

49.

a)

Sine

b)

Cosine

c)

Tangent

50.

Choose the correct trig function

a)

Sine

b)

Cosine

c)

Tangent

Final Triangle Review

Total questions: 50

Worksheet time: 2hrs 8mins

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