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Geometry Semester 1 Exam

Total questions: 75

Worksheet time: 2hrs 36mins

Name
Class
Date
1.

Solve for x.

a)

-9

b)

0

c)

4

d)

-8

2.

Solve for x.

a)

-5

b)

7

c)

10

d)

-6

3.

Find the distance between the two points. Round your answer to the nearest tenth.

a)

5.1

b)

4.9

c)

4.2

d)

2.4

4.

Find the length of the line segment. Round to the nearest 10th.

a)

2.8

b)

2.4

c)

5.1

d)

5.8

5.

Find the distance between the given points:

(-8, 2) and (3, -1)

Round to the nearest tenth.

a)

11.4

b)

5.1

c)

6.7

d)

3.7

6.

Find the distance between the points (-7, -7) and (-8, 1).

Round your answer to the nearest tenth.

a)

13.7

b)

3.0

c)

16.2

d)

8.1

7.

Find the coordinates of the midpoint of the line segment.

a)

(-1, -2)

b)

(0.5, -3.5)

c)

(4, 0)

d)

(-13, -2)

8.

Find the coordinates for the midpoint of the line segment.

a)

(1, -1.5)

b)

(2.5, -3)

c)

(2.5, 0)

d)

(-5, -3)

9.

Find the midpoint of the line segment with endpoints (7, 7) and (-7, -6)

a)

(0, 0.5)

b)

(7, -6.5)

c)

(-21, -19)

d)

(7, 6.5)

10.

Find the midpoint of the line segment with endpoints (3, 3) and (0, -5)

a)

(2, -2.5)

b)

(1.5, 4)

c)

(1.5, -1)

d)

(-3, -13)

11.

One Endpoint of a line segment is at (-6, 2). The midpoint of the segment is at (3, -7). What are the coordinates for the other endpoint?

a)

(-6.5, 2.5)

b)

(-2, -2)

c)

(-4.5, -4.5)

d)

(12, -16)

12.

Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint: (5, -8), midpoint: (9, -9)

a)

(-1.5, 0)

b)

(-2, 0.5)

c)

(0, 3)

d)

(13, -10)

13.

What is the measure of ∠\angle IJK?

a)

42

b)

51

c)

53

d)

62

14.

Find the measure of ∠ABC\angle ABC

a)

153

b)

161

c)

128

d)

104

15.

Find the value of x.

a)

-9

b)

0

c)

9

d)

6

16.

Find the measure of ∠STL\angle STL

a)

27

b)

28

c)

29

d)

33

17.

Identify the angle pair relationship for angles x and y.

a)

alternate interior

b)

consecutive interior

c)

alternate exterior

d)

corresponding

18.

Identify the angle pair relationship for angles x and y.

a)

alternate interior

b)

adjacent

c)

alternate exterior

d)

corresponding

19.

Identify the angle pair relationship for angles x and y.

a)

alternate exterior

b)

alternate interior

c)

corresponding

d)

consecutive interior

20.

Identify the angle pair relationship for angles x and y.

a)

consecutive interior

b)

alternate exterior

c)

corresponding

d)

alternate interior

21.

Identify the angle pair relationship for angles x and y.

a)

alternate exterior

b)

consecutive interior

c)

corresponding

d)

alternate interior

22.

Identify the angle pair relationship for angles x and y.

a)

alternate interior

b)

consecutive interior

c)

corresponding

d)

alternate exterior

23.

Solve for x.

a)

-10

b)

9

c)

-7

d)

6

24.

Solve for x.

a)

2

b)

-4

c)

8

d)

9

25.

Find the measure of angle b.

a)

105

b)

75

c)

28

d)

152

26.

Find the measure of angle b.

a)

91

b)

89

c)

1

d)

156

27.

Find the value of x.

a)

16

b)

17

c)

14

d)

18

28.

Solve for x.

a)

23

b)

22

c)

21

d)

19

29.

Find the area of the rectangle.

a)

37.8 cm2

b)

23.6 cm2

c)

94.4 cm2

d)

47.2 cm2

30.

Find the area of the square.

a)

9.64 ft2

b)

2.88 ft2

c)

0.7 ft2

d)

1.44 ft2

31.

Classify the triangle by its angles and sides.

a)

acute isosceles

b)

acute scalene

c)

obtuse isosceles

d)

obtuse scalene

32.

Classify the triangle by its angles and sides.

a)

equilateral

b)

obtuse isosceles

c)

right isosceles

d)

acute scalene

33.

Solve for x.

a)

3

b)

4

c)

11

d)

-1

34.

Solve for x.

a)

9

b)

4

c)

-4

d)

12

35.

Find the measure of the indicated angle.

a)

49

b)

44

c)

84

d)

48

36.

Find the measure of the indicated angle.

a)

81

b)

93

c)

71

d)

87

37.

Find the value of x.

a)

60

b)

56

c)

65

d)

40

38.

Find the value of x.

a)

66

b)

47

c)

57

d)

49

39.

Can these three numbers be the measures of the sides of a triangle?

7, 12, 12

a)

yes

b)

no

40.

Can the lengths 7, 8, and 18 form a triangle?

a)

yes

b)

no

41.

Can the lengths 10, 12, and 23 be used to make the sides of a triangle?

a)

yes

b)

no

42.

Can 7, 9, and 12 be the measures of the sides of a triangle?

a)

yes

b)

no

43.

Two sides of a triangle measure 12 and 8. What is the range of possible measures for the third side?

a)

6 < x < 20

b)

4 < x < 20

c)

8 < x < 20

d)

4 < x < 19

44.

Two sides of a triangle measure 8 and 8. What is the range of possible measures for the third side?

a)

0 < x < 15

b)

3 < x < 15

c)

0 < x < 16

d)

4 < x < 15

45.

Order the sides of the triangle from shortest to longest.

a)

UT, US, TS

b)

UT, TS, US

c)

TS, UT, US

d)

TS, US, UT

46.

Order the sides of the triangle from shortest to longest.

a)

SU, TU, ST

b)

ST, TU, SU

c)

TU, SU, ST

d)

SU, ST, TU

47.

Order the angles of the triangle from smallest to largest.

a)

W, U, V

b)

U, V, W

c)

V, U, W

d)

V, W, U

48.

Order the angles of the triangle from smallest to largest.

a)

W, Y, X

b)

Y, W, X

c)

X, Y, W

d)

X, W, Y

49.

Given the distance formula is

(x−x)2+(y−y)2\sqrt[]{\left(x-x\right)^2+\left(y-y\right)^2}

What is the distance between (1,-6),(-5,-2), to the nearest tenth?

50.

Find the distance between the two points. Round to the nearest tenth (one decimal point).

(9,−6)\left(9,-6\right) and (4, 5)\left(4,\ 5\right)

51.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
52.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
53.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
54.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
55.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
56.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
57.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
58.

Which quadrilateral cannot be called a parallelogram?

a)

Square

b)

Trapezoid

c)

Rectangle

d)

Rhombus

59.

I am a polygon with 4 sides. I have 4 right angles. My opposite sides are equal length. What are all the names I can be called?

a)

rhombus

b)

rectangle

c)

trapezoid

d)

square

e)

parallelogram

60.

Identify the quadrilateral below using the most specific classification.

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

61.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
62.

How would you prove the opposite sides of a parallelogram are parallel?

a)

Slope

b)

Distance Formula

c)

Midpoint

63.

What is the most specific name for quadrilateral FISH?

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

64.

Given ABCD

A(2, 3) B(2, 5) C(6, 5) D(x, y)

Which point will make the quadrilateral a rectangle?

a)

D(3, 6)

b)

D(6, 3)

c)

D(3, 5)

d)

D(5, 6)

65.

Which angle is the vertex angle?

a)

<C

b)

<A

c)

<B

66.

Use the Isosceles Triangle Theorem to find the value of x.

a)

-7

b)

-8

c)

-12

d)

6

67.

What is the measure of angle 2?

a)

50

b)

65

c)

115

68.

What is x?

a)

12

b)

11

c)

8

d)

6

69.

Find x

a)

90

b)

45

c)

22

d)

35

70.

If you wanted to prove that Quadrilateral ABCD is a rhombus, what would be the best piece of evidence to use?

a)

The length of each side is √(34), therefore all sides are congruent.

b)

The length of each side 8, therefore all sides are congruent.

c)

The slope of AC and BD is 5/3, therefore AC and BD are parallel.

d)

The slopes of the sides are opposite reciprocals, therefore opposite sides are parallel.

71.

Which method will NOT prove the quadrilateral is a parallelogram.

a)

Show that a pair of sides are congruent and parallel.

b)

Show that both pairs of opposite sides are congruent

c)

Show that both pairs of opposite sides are parallel

d)

Show that a pair of sides are parallel

72.

I have 4 congruent sides, and my diagonals are congruent. What's my most specific classification?

a)

Rectangle

b)

Parallelogram

c)

Rhombus

d)

Square

73.

Which formula is used to determine if two lengths are bisecting?

a)

Slope

b)

Midpoint

c)

Distance

74.

A quadrilateral has how many sides

a)

2

b)

4

c)

6

d)

5

75.

Which statement is not true for all rectangles?

a)

All angles have the same measure.

b)

All sides have the same length.

c)

There are exactly two pairs of parallel sides.

d)

There are exactly 4 sides.

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