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Accel. Algebra 1 Spring Final Exam Review

Total questions: 71

Worksheet time: 4hrs 35mins

Name
Class
Date
1.

Find the measure of the indicated angle.

a)

89

b)

211

c)

119

d)

81

2.

What is the " Triangle Ineqality Theorem"?

a)

The sum of 2 sides of a triangle must be greater than the 3rd side

b)

The lengths of the sides squared equals the hypotenuse squared

c)

The sum of 2 sides of a triangle are greater than or equal to the 3rd side.

d)

The sum of the interior angles of a triangle add up to 180 degrees

3.
Which set of numbers may represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
 {6,6,7}
c)
{6,4,2}           
d)
{7,8,1}
4.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

5.

The longest side of a triangle would be located where on a triangle?

a)

Across from the smallest angle

b)

Across from the largest angle

c)

Depends on the type of triangle

d)

Adjacent to the smallest side.

6.

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

7.

What postulate would prove these triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

SSS

8.

What postulate would prove these triangles congruent?

a)

SAS

b)

ASA

c)

SSA

d)

Not Enough Information

9.

Find the measure of angle BCD. The figure is not drawn to scale.

a)

65

b)

55

c)

60

d)

85

10.

Solve for x and y. The figure is not drawn to scale.

a)

x = 30, y = 120

b)

x = 60, y = 20

c)

x = 15, y = 150

d)

x = 45, y = 90

11.

The lengths of the sides of a triangle are in the extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in centimeters?

a)

192 cm

b)

140 cm

c)

48 cm

d)

160 cm

12.

Solve the proportion

a)

x=6, x = -1

b)

x = 6

c)

x = -6, x = 1

d)

x = -1

13.

Solve for x. The figure is not drawn to scale.

a)

x=20

b)

x = 12

c)

x = 2.5

d)

x = 5

14.

Find the measure of angle DBC. The figure is not drawn to scale.

a)

100 degrees

b)

25 degrees

c)

120 degrees

d)

155 degrees

15.

Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ?

a)

21 cm

b)

63 cm

c)

105 cm

d)

126 cm

16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
When copying line segment AB using a straight edge and a compass, the compass should be used to:
a)
Draw an arc above point A
b)
Measure the length of segment AB
c)
Draw an arc between point A and point B
d)
Measure half the length of line segment AB
19.
To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?
a)
Construct a perpendicular bisector
b)
Draw a second diameter to the circle
c)
Construct a line tangent to the circle
d)
Set your compass the length of the radius.
20.
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
a)
A
b)
B
c)
C
d)
D
21.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
22.
Given: angle A
What is the first step in constructing the angle bisector of angle A?
a)
Draw ray AD
b)
Draw a line segment connecting points B and C.
c)
From points B and C, draw equal arcs that intersect at D.
d)
From point A, draw an arc that intersects the sides of theangle at points B and C.
23.
Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?
a)
a line through P parallel to line l
b)
a line through P intersecting line l
c)
a line through P congruent to line l
d)
a line through P perpendicular to line l
24.

Consider the beginning of a construction of a square inscribed in circle Q.

Step 1: label point R on circle Q.

Step 2: Draw a diameter through R and Q.

Step 3: Label the point where the diameter intersects the circle as point T.

What is the next step in this construction?

a)

Draw radius SQ.

b)

Label point S on circle Q.

c)

Construct a line segment parallel to RT.

d)

Construct the perpendicular bisector of RT.

25.
When constructing a line parallel to a given line, you will be
a)
copying a segment
b)
bisecting a segment
c)
copying an angle
d)
constructing a perpendicular 
26.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
27.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
28.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
29.
Which shape is NOT a type of parallelogram?
a)
trapezoid
b)
rectangle
c)
rhombus
d)
square
30.
Diagonals are perpendicular in all  ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
31.
Diagonals are congruent in all  ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
32.
a)
x = 9, y = 4
b)
x = 6, y = 4
c)
x = 6, y = 2
d)
x = 4, y = 2
33.
Find the perimeter of the figure to the right.  Round to the nearest tenth.
a)
20.8 units
b)
116 units
c)
11.5 units
d)
19.8 units
34.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
35.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
36.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
37.
Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5
a)
(12, 1.6)
b)
(-1, 7.6)
c)
(-1, 6.6)
d)
(13, 1.6)
38.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

39.

Which of the following lines is NOT parallel to the graph of line 6x - 8y = 5?

a)

9x - 12y = 11

b)

3x = 7 + 4y

c)

-6x + 8y = 3

d)

16y = 13 + 6x

40.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

a)

y = 2x + 13

b)

y = 2x + 5

c)

y = -1/2x + 3

d)

y = -1/4x + 11/2

41.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

a)

y = 4x + 6

b)

y = 4x + 14

c)

y = 3x + 12

d)

y = -1/4x + 11/2

42.
Which is the correct reason for statement 2 in the proof?
a)
Given
b)
Transitive Property
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
43.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
44.
What is the "statement" for step 3 of the proof?
a)
AD=DA
b)
AN = AH
c)
HD=ND
d)
HD=DN
45.
Identify the  missing statement or reason
a)
Definition of Angle Bisector
b)
Alternate Interior Angles Theorem
c)
Reflexive Property
d)
Definition of Midpoint
46.
Identify the  missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
47.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
48.
What is the "statement" for step 2 of the proof?
a)
∡JHI≅∡JKL
b)
JL=JI
c)
∡H≅∡K
d)
HI=KL
49.
When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?
a)
1.2 m
b)
28.9 m
c)
6.1 m
d)
28.2 m
50.
After traveling 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.
a)
50
b)
0.053
c)
36.9
d)
95
51.

The angle of elevation of point K from point T is 60°. Find the height, in m, of MN

a)

3.23

b)

3.46

c)

4.59

d)

4.77

52.
Find a.
a)
12
b)
24
c)
24√3
d)
16
53.

Find the missing side length of the given triangle.

a)

16

b)

8

c)

8√2

d)

√16

54.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
55.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

56.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
57.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
58.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
59.
What is the missing number?
Sin(   ) = Cos(80)
a)
5
b)
10
c)
15
d)
20
60.
What is the missing number?
Sin(    ) = Cos (89)
a)
0
b)
1
c)
2
d)
3
61.
If cos α = sin β, what must be true about α and β?
a)
α and β are complementary angles
b)
α and β are congruent angles
c)
α and β are right angles
d)
α and β are supplementary angles
62.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
63.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
64.
What is the value of x?
a)
26.25
b)
38.75
c)
24
d)
25.125
65.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
66.
The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
67.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
68.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
69.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
70.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
71.
Find the value of x (to the nearest whole number)
a)
5
b)
7
c)
9
d)
11

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