Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

IM2H Fall Final Review

Total questions: 60

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Select all angles that are congruent to ∠1

a)

2

b)

3

c)

4

d)

5

e)

6

2.

Select all angles that are supplementary to ∠3

a)

2

b)

1

c)

4

d)

5

e)

6

3.
Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?
a)
m∠A + m∠B = 90
b)
A and B are both acute angles
c)
m∠A + m∠B = 180
d)
A and B are both obtuse angles
4.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
5.
Which pair of angles must be supplementary so that r is parallel to s?
a)
∠2 and ∠3
b)
∠5 and ∠6
c)
∠4  and ∠10
d)
∠6  and ∠14
6.

Determine the unknown angle measures in this pentagon.

a)

90

b)

135

c)

45

d)

540

e)

315

7.

Determine the measure of the fourth interior angle of a quadrilateral if you know the other three measures are 89°, 80°, and 104°.

a)

104

b)

89

c)

360

d)

87

e)

80

8.

Determine m∠NPQ in △MNP

a)

10

b)

100

c)

63

d)

37

e)

90

9.
a)
72
b)
67
c)
65
d)
54
10.
a)
9
b)
11
c)
8
d)
6
11.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
12.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
13.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
14.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
15.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
16.
Which is the most accurate name for the quadrilateral shown
a)
Rectangle
b)
Rhombus
c)
parallelogram
d)
Square
17.
Which is the most accurate name for the quadrilateral shown
a)
Rectangle
b)
Rhombus
c)
parallelogram
d)
Square
18.
Which is the most accurate name for the quadrilateral shown
a)
Rectangle
b)
Rhombus
c)
Isosceles Trapezoid 
d)
Square
19.
A parallelogram has
a)
2 sets of parallel sides & 4 congruent sides
b)
2 sets of parallel sides, 2 pairs of congruent sides & 4 right angles
c)
2 sets of parallel sides & 2 pairs of congruent sides
d)
2 sets of parallel sides, 4 congruent sides & 4 right angles
20.
Identify the attrubites of a rhombus
a)
2 sets of parallel sides & 4 congruent sides
b)
2 sets of parallel sides, 2 pairs of congruent sides & 4 right angles
c)
2 sets of parallel sides & 2 pairs of congruent sides
d)
2 sets of parallel sides, 4 congruent sides & 4 right angles
21.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
22.
A quadrilateral with two sets of parallel sides, 4 right angles, and 4 congruent (equal) sides is a __________________.
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
23.

Select the quadratic equations.

a)

y = 4x2 - 3x + 12

b)

3x + 4y = 7 - x2

c)

0 = (x - 4) - y + 5

d)

f(x) = 3(x + 11)2 - 2

e)

g(x) = 2x

24.

Given y = x2 + 4x + 7, find the axis of symmetry.

a)

x = 4

b)

x = 1

c)

x = 2

d)

x = -4

e)

x = -2

25.

Given g(x) = -4x2 + 8x - 2 and axis of symmetry is x = 1. Find the vertex.

a)

(1, 2)

b)

(2, 1)

c)

(1, 14)

d)

(1, 10)

e)

(10, 1)

26.

Write a quadratic equation given the table.

a)

f(x) = -(x + 3)2 + 7

b)

f(x) = -2(x + 3)2 + 7

c)

f(x) = (x + 3)2 + 7

d)

f(x) = -2(x - 3)2 + 7

e)

f(x) = 2(x - 3)2 + 7

27.

Choose the correct characteristics of the graph.

a)

Vertex: (0,0)

b)

Domain: [0,∞)

c)

Range: [-4,∞)

d)

Domain: (-∞, ∞)

e)

Range: y < -4

28.

Choose the correct characteristics of the graph.

a)

Vertex: (0,5)

b)

Axis of Symmetry: x = 5

c)

Max @ y = 5

d)

Min @ y = 5

e)

Range: (-∞,5]

29.

What is the equation for the given graph?

a)

y = ½x2 + 8x + 16

b)

y = -½x2 + 8x + 16

c)

y = -½x2 - 4x - 8

d)

y = -½x2 - 4x - 9

e)

y = x2 + 8x + 16

30.

Select the correct characteristics for the given the function.

f(x) = -⅓(x + 3)2 + 5

a)

Range: y > 5

b)

Wide

c)

Concave Down

d)

Min @ y = 5

e)

Axis of Symmetry: x = -3

31.

Choose the graph that matches the given equation.

f(x) = 3(x + 2)2 + 4

a)
b)
c)
d)
e)
32.

When starting at the graphed parent function f(x) = x2, which of the following are true of the graphed function f(x) = -(x + 3)2 - 7,

a)

Wider

b)

Shifted 3 right

c)

Shifted 7 down

d)

Concave down

e)

Vertex: (3, -7)

33.

Which of the following have the same axis of symmetry?

a)

y = (x + 3)2 - 6

b)

y = -4(x + 3)2 - 6

c)

y = ⅕(x - 3)2 - 6

d)

y = 2x2 + 12x + 12

e)

y = -(x + 3)2 + 6

34.

Write a quadratic equation given the table.

a)

f(x) = 6(x - 1)2 - 1

b)

f(x) = -(x + 1)2 - 1

c)

f(x) = -(x - 1)2 - 1

d)

f(x) = -½(x - 1)2 - 1

e)

f(x) = -½(x + 1)2 - 1

35.

Given f(x) = x2 graphed, select the following functions that would be graphed to the right.

a)

f(x) = -2(x - 3)2

b)

f(x) = 5(x - 4)2 - 8

c)

f(x) = (x + 2)2 + 1

d)

f(x) = -½x2 - 6

e)

f(x) = 9x2

36.

Given y = -x2 + 6x - 11, select all the correct characteristics.

a)

Concave down

b)

Axis of Symmetry: x = -3

c)

Vertex: (3, -2)

d)

Wide

e)

Normal

37.

Given g(x) = -4x2 + 8x + 12 find the x and y intercepts.

a)

(-1,0)

b)

(0,-1)

c)

(0,12)

d)

(12,0)

e)

(3,0)

38.

Given y = x2 - 8x - 11, select all the correct characteristics.

a)

Concave up

b)

Axis of Symmetry: x = 4

c)

Vertex: (-8, -11)

d)

y-int: (0, -11)

e)

Range: [-27, ∞)

39.

Given g(x) = -4(x + 5)(x - 1) find the solutions.

a)

(-1,0)

b)

(0,-5)

c)

(5,0)

d)

(1,0)

e)

(-5,0)

40.

Write a quadratic equation given x-intercepts: 6 and -4; a = 3

a)

y = 3(x - 6)(x - 4)

b)

y = 3(x - 6)(x + 4)

c)

y = 3(x + 6)(x - 4)

d)

y = 3x2 - 6x + 4

e)

y = 3x2 + 6x - 4

41.

Given y = (x + 2)(x + 4), select all the correct characteristics.

a)

Min @ y = -1

b)

Axis of Symmetry: x = -3

c)

Vertex: (-3, -1)

d)

x-int: (4, 0)

e)

Domain: [-1, ∞)

42.

Given the graph write the correct function.

a)

f(x) = (x - 4)(x + 1)

b)

f(x) = -1/3(x + 4)(x - 1)

c)

f(x) = -(x + 4)(x - 1)

d)

f(x) = -1/3(x - 4)(x + 1)

e)

f(x) = 1/3(x + 4)(x - 1)

43.

The graph of a function, f(x), is plotted on the coordinate plane. Select the following function that would move the graph of the function up on the coordinate plane

a)

f(x) + 3

b)

f(x + 4)

c)

f(x - 2)

d)

f(x) - 1

44.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
45.
Cosine ratio represent
a)
O/H
b)
A/H
c)
O/A
46.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
47.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
48.
Find the missing length.
a)
35
b)
28
c)
42
d)
13
49.
Find the value of x.
a)
10
b)
35
c)
8
d)
None of these
50.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
51.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
52.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
53.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
54.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
55.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
56.
Are the triangles similar?
a)
Yes
b)
No
57.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
58.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
59.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
60.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO