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Enriched Final Exam Review (Units 5 & 6)

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

Find the missing side

a)

11

b)

61

c)

61\sqrt{61}

d)

11\sqrt{11}

2.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
3.

State if the 3 sides form an acute, obtuse, or right triangle.


9, 14, 15

a)

acute

b)

right

c)

obtuse

4.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
5.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
6.

Which is the length of v in this 30-60-90 triangle?

a)

434\sqrt{3}

b)

4

c)

8

d)

424\sqrt{2}

7.

In this 30-60-90 triangle, what is the length of the long leg?

a)

6√2

b)

3√3

c)

12

d)

6√3

8.
What is the value of x?
a)
17.30
b)
11.33
c)
0.06
d)
23.82
9.

Find the measure of the indicated angle.  

a)

6∘6^{\circ}

b)

20∘20^{\circ}

c)

43∘43^{\circ}

d)

47∘47^{\circ}

10.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
11.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
12.

The triangles are similar by _______.

a)

AA~

b)

SSS~

c)

SAS~

d)

They are not similar

13.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
14.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
15.
When figures are similar, their corresponding sides are__________________.
a)
congruent
b)
proportional
c)
invisible
16.
When figures are similar, their corresponding angles are__________________.
a)
congruent
b)
proportional
c)
yellow
d)
obtuse
17.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

18.
The triangles are similar by...
a)

SAS~

b)

AA~

c)

They are not similar

d)

SSS~

19.
The triangles are similar by...
a)

SAS~

b)

AA~

c)

They are not similar

d)

SSS~

20.

ΔPRQ ∼ ΔDEF\Delta PRQ\ \sim\ \Delta DEF   What is the scale factor of  ΔPRQ \Delta PRQ\  to  ΔDEF\Delta DEF ?

a)

5/6

b)

3/5

c)

2/3

d)

5/3

21.

ΔPRQ ∼ ΔDEF\Delta PRQ\ \sim\ \Delta DEF  
What is  m∠Dm\angle D  ?

a)

35

b)

89

c)

56

d)

40

22.

Find the value of x.

a)

14

b)

6

c)

9

d)

13

23.
Find length of segment AB.
a)
x = 810
b)
x = 21.6
c)
x = 33.75
d)
x = 67.5
24.
Solve for X
a)
7.5
b)
4.8
c)
13.33
d)
5
25.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2