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Geometry Semester Study Guide - 101 Questions (Multiple Choice)

Total questions: 101

Worksheet time: 55mins

Name
Class
Date
1.

Which of the following represents a point?

a)

AB‾\overline{AB}

b)

AB→\overrightarrow{AB}

c)

⟷\longleftrightarrow

d)

A

2.

Which of the following represents a line segement?

a)

AB‾\overline{AB}

b)

AB→\overrightarrow{AB}

c)

⟷\longleftrightarrow

d)

A

3.

Which of the following represents a ray?

a)

AB‾\overline{AB}

b)

AB→\overrightarrow{AB}

c)

⟷\longleftrightarrow

d)

A

4.

If points A, B, and C lie on the same line, they are:

a)

Congruent

b)

Collinear

c)

Coplanar

d)

Complementary

5.

A flat surface that extends forever in all directions is a:

a)

Point

b)

Line

c)

Plane

d)

Segment

6.

On a number line, what is the length of segment AB if A is at 2 and B is at 9?

a)

5

b)

6

c)

7

d)

11

7.

Lines that cross at one point are called:

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Skew

8.

Lines that never intersect are called

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Skew

9.

What is the distance between -4 and 5 on a number line?

a)

9

b)

1

c)

7

d)

11

10.

What is the distance between points A(1, 2) and B(5, 2)?

a)

2

b)

3

c)

4

d)

5

11.

What is the distance between points C(2, 3) and D(2, -1)?

a)

2

b)

3

c)

4

d)

5

12.

What is the distance between (0, 0) and (3, 4)?

a)

3

b)

4

c)

5

d)

7

13.

Find the distance between E(1, 1) and F(4, 5).

a)

3

b)

4

c)

5

d)

6

14.

What is the midpoint of AB with A(2, 6) and B(6, 10)?

a)

(3, 7)

b)

(4, 8)

c)

(5, 9)

d)

(8, 16)

15.

What is the midpoint of PQ with P(−2, 4) and Q(4, 4)?

a)

(1, 4)

b)

(0, 4)

c)

(2, 4)

d)

(3, 4)

16.

A right triangle has legs 6 and 8. What is the length of the hypotenuse?

a)

10

b)

12

c)

14

d)

16

17.

In a right triangle, the hypotenuse is 13 and one leg is 5. What is the length of the other leg?

a)

8

b)

10

c)

12

d)

14

18.

A ladder is 5 ft long and leans against a wall. The bottom of the ladder is 4 ft from the wall. How high up the wall does the ladder reach?

a)

1 ft

b)

3 ft

c)

4 ft

d)

5 ft

19.

In a right triangle, the hypotenuse is 10 and one leg is 8. What is the length of the other leg?

a)

2

b)

4

c)

6

d)

8

20.

Do the side lengths 8, 15, and 17 form a right triangle?

a)

Yes, because 82+152=1728^2 + 15^2 = 17^2

b)

Yes, because all sides are equal

c)

No, because 8 + 15 < 17

d)

No, because it forms an acute triangle

21.

An angle that measures less than 90° is:

a)

Right

b)

Acute

c)

Obtuse

d)

Straight

22.

An angle that measures more than 90° but less than 180° is:

a)

Right

b)

Acute

c)

Obtuse

d)

Straight

23.

An angle that measures exactly 90° is:

a)

Right

b)

Acute

c)

Obtuse

d)

Straight

24.

An angle that measures exactly 180° is:

a)

Right

b)

Acute

c)

Obtuse

d)

Straight

25.

Two angles that add up to 90° are called:

a)

Supplementary

b)

Complementary

c)

Vertical

d)

Adjacent

26.

Two angles that add up to 180° are called:

a)

Supplementary

b)

Complementary

c)

Vertical

d)

Congruent

27.

Vertical angles are:

a)

Adjacent and supplementary

b)

Opposite angles formed by intersecting lines

c)

Two angles that add to 90°

28.

A linear pair of angles:

a)

Shares a vertex and a side and sums to 180°

b)

Shares no vertex

c)

Always adds to 90°

d)

Is always equal in measure

29.

If ∠A and ∠B are complementary and ∠A = 35°, then ∠B is:

a)

35°

b)

45°

c)

55°

d)

145°

30.

An angle measures 120°. What is the measure of its supplement?

a)

60°

b)

70°

c)

80°

d)

120°

31.

Two vertical angles are shown. One angle is 75°. The measure of the other vertical angle is:

a)

15°

b)

75°

c)

105°

d)

285°

32.

Which pair of angles is adjacent?

a)

Angles that share a vertex but no side

b)

Angles that share a vertex and a side but do not overlap

c)

Angles that sum to 180°

d)

Angles that sum to 90°

33.

Two angles form a linear pair. One angle measures 40°. The other angle measures:

a)

40°

b)

90°

c)

130°

d)

140°

34.

Two angles are supplementary and congruent. What is the measure of each angle?

a)

45°

b)

60°

c)

90°

d)

120°

35.

Two lines that intersect to form right angles are:

a)

Parallel

b)

Skew

c)

Perpendicular

d)

Collinear

36.

If two lines are parallel and a transversal intersects them, corresponding angles are:

a)

Always supplementary

b)

Always congruent

c)

Always right

37.

If two lines are parallel and a transversal intersects them, same-side (consecutive) interior angles are:

a)

Congruent

b)

Complementary

c)

Supplementary

d)

Vertical

38.

If two lines are parallel and a transversal intersects them, alternate interior angles are:

a)

Congruent

b)

Complementary

c)

Supplementary

d)

Vertical

39.

If two lines are parallel and a transversal intersects them, alternate exterior angles are:

a)

Congruent

b)

Complementary

c)

Supplementary

d)

Vertical

40.

When lines are parallel, alternate interior angles are:

a)

Always congruent

b)

Always supplementary

c)

Always right angles

d)

Always complementary

41.

What is the slope of the line through (1, 1) and (5, 3)?

a)

1/2

b)

2/1

c)

3/4

d)

4/3

42.

What is the slope of a horizontal line?

a)

0

b)

1

c)

Undefined

d)

2

43.

What is the slope of a vertical line?

a)

0

b)

1

c)

Undefined

d)

2

44.

What is the slope of the line y = -2x + 5?

a)

-2

b)

2

c)

5

d)

-5

45.

What is the equation of a line with slope 3 and y-intercept 2?

a)

y = 3x + 2

b)

y = 2x + 3

c)

y = -3x + 2

d)

y = 3x - 2

46.

What is the equation of a line with slope 1/2 and y-intercept -4?

a)

y = 1/2x + 4

b)

y = 1/2x - 4

c)

y = -1/2x - 4

d)

y = -1/2x + 4

47.

A line has equation y = -4x + 1. What is the slope of any line parallel to this line?

a)

-4

b)

4

c)

1/4

d)

-1/4

48.

A line has slope 1/3. What is the slope of a line perpendicular to it?

a)

1/3

b)

3

c)

-3

d)

-1/3

49.

Are the lines 2x + 3y = 6 and y = -2/3x + 4 parallel?

a)

Yes

b)

No

50.

A translation 3 units right and 1 unit up can be written as:

a)

(x, y) → (x+3, y+1)

b)

(x, y) → (x-3, y-1)

c)

(x, y) → (x+1, y+3)

d)

(x, y) → (x-1, y-3)

51.

Reflection over the x-axis is given by:

a)

(x, y) → (-x, y)

b)

(x, y) → (x, -y)

c)

(x, y) → (-x, -y)

d)

(x, y) → (y, x)

52.

Reflection over the y-axis is given by:

a)

(x, y) → (-x, y)

b)

(x, y) → (x, -y)

c)

(x, y) → (-x, -y)

d)

(x, y) → (y, x)

53.

A rotation of 90° counterclockwise about the origin can be written as:

a)

(x, y) → (y, x)

b)

(x, y) → (-y, x)

c)

(x, y) → (x, -y)

d)

(x, y) → (-x, -y)

54.

Which transformation slides a figure to a new location without turning it?

a)

Reflection

b)

Rotation

c)

Translation

d)

Dilation

55.

Which transformation flips a figure over a line?

a)

Reflection

b)

Rotation

c)

Translation

d)

Dilation

56.

Which transformation changes the size of a figure but keeps its shape?

a)

Reflection

b)

Rotation

c)

Translation

d)

Dilation

57.

Which of the following is not a rigid motion (does not preserve distance)?

a)

Reflection

b)

Rotation

c)

Translation

d)

Dilation

58.

Apply the rule (x, y) → (x+4, y) to point (2, -3). The image is:

a)

(6, -3)

b)

(2, 1)

c)

(4, -3)

d)

(6, 1)

59.

Reflect point (-6, 1) over the y-axis. The image is:

a)

(6, -3)

b)

(2, 1)

c)

(4, -3)

d)

(6, 1)

60.

How many lines of symmetry does a regular hexagon have?

a)

2

b)

3

c)

4

d)

6

61.

What is the order of rotational symmetry of a square (how many times it maps to itself in 360°)?

a)

2

b)

3

c)

4

d)

6

62.

The sum of the interior angles of a triangle is:

a)

90°

b)

180°

c)

270°

d)

360°

63.

In triangle ABC, ∠A = 50° and ∠B = 60°. What is ∠C?

a)

50°

b)

60°

c)

70°

d)

80°

64.

A triangle with angles 60°, 60°, and 60° is:

a)

Scalene

b)

Isosceles

c)

Equilateral

d)

Right

65.

A triangle with side lengths 3, 3, and 5 is:

a)

Scalene

b)

Isosceles

c)

Equilateral

d)

Right

66.

A triangle with angles 30°, 60°, and 90° is:

a)

Acute

b)

Right

c)

Obtuse

d)

Equilateral

e)

scalene

67.

Which set of side lengths can form a triangle?

a)

2, 3, 6

b)

4, 5, 10

c)

5, 7, 11

d)

1, 2, 3

68.

A scalene triangle has:

a)

Exactly two equal sides

b)

Three equal sides

c)

No equal sides

d)

One right angle

69.

The HL Theorem (Hypotenuse-Leg) is used for:

4 lines
70.

Which information does NOT guarantee triangle congruence?

a)

SSS

b)

SAS

c)

ASA

d)

AAA

71.

Two triangles are similar with a scale factor of 2 (small to large). If a side of the smaller triangle is 5, the corresponding side of the larger triangle is:

a)

2

b)

5

c)

7

d)

10

72.

If two angles of one triangle are congruent to two angles of another triangle, the triangles are:

a)

Congruent by SSS

b)

Similar by AA

c)

Not related

d)

Congruent by HL

73.

In an isosceles triangle, the base angles are:

a)

Congruent

b)

Supplementary

c)

Complementary

d)

Right angles

74.

In an isosceles triangle, the vertex angle is 40°. What is the measure of each base angle?

a)

70°

b)

80°

c)

90°

d)

140°

75.

The measure of an exterior angle of a triangle is equal to:

a)

The sum of all three interior angles

b)

The sum of the two remote interior angles

c)

The difference of the interior angles

d)

The largest interior angle

76.

In a triangle, the longest side is opposite:

a)

The smallest angle

b)

The right angle

c)

The largest angle

d)

The exterior angle

77.

If two triangles are congruent, then:

a)

Their perimeters might be different

b)

Their corresponding sides and angles are congruent

c)

Their areas might be different

d)

They are only similar, not congruent

78.

Two triangles have side lengths 3, 4, 5 and 6, 8, 10. These triangles are:

a)

Congruent

b)

Similar with scale factor 2

c)

Similar with scale factor 1/2

d)

Not related

79.

A quadrilateral is a polygon with:

a)

3 sides

b)

4 sides

c)

5 sides

d)

6 sides

80.

In a parallelogram:

a)

Only one pair of opposite sides are parallel

b)

No sides are parallel

c)

Both pairs of opposite sides are parallel

d)

All sides are congruent

81.

A rectangle is a parallelogram with:

a)

All sides congruent

b)

All angles right angles

c)

Exactly one pair of parallel sides

d)

No equal sides

82.

A rhombus is a parallelogram with:

a)

All sides congruent

b)

All angles right angles

c)

Exactly one pair of parallel sides

d)

No congruent sides

83.

A square can be classified as:

a)

a rectangle

b)

a parallelogram

c)

a rhombus

d)

all of the above

84.

A trapezoid is a quadrilateral with:

a)

No parallel sides

b)

Exactly one pair of parallel sides

c)

Two pairs of parallel sides

d)

All sides congruent

85.

An isosceles trapezoid has:

a)

All sides equal

b)

Both pairs of opposite sides parallel

c)

Exactly one pair of parallel sides and the non-parallel sides congruent

d)

No equal sides

86.

In a parallelogram, opposite angles are:

a)

Congruent

b)

Supplementary

c)

Complementary

d)

Right angles

87.

In a rectangle, the diagonals are:

a)

Perpendicular

b)

Always unequal

c)

Congruent

d)

Never congruent

88.

In a rhombus, the diagonals:

a)

Are never perpendicular

b)

Are always equal

c)

Are perpendicular

d)

Are never equal

89.

Which quadrilateral must have all sides congruent and all angles right angles?

a)

Rectangle

b)

Rhombus

c)

Square

d)

Trapezoid

90.

A quadrilateral has four right angles and opposite sides that are parallel and congruent. It is a:

a)

Parallelogram only

b)

Rectangle

c)

Rhombus

d)

Kite

91.

A dilation with scale factor k = 2 centered at the origin maps point (3, -2) to:

a)

(5, 0)

b)

(6, -4)

c)

(1.5, -1)

d)

(3, -4)

92.

A dilation with scale factor k = 1/2 centered at the origin maps point (-8, 6) to:

a)

(-4, 3)

b)

(4, -3)

c)

(-8, 3)

d)

(-4, 6)

93.

If a dilation has a scale factor k = 3, the image will be:

a)

three times as large as the original

b)

twice as large as the original

c)

the same size as the original

d)

four times as large as the original

94.

Two figures are similar if they have:

a)

The same shape but not necessarily the same size

b)

The same size but not necessarily the same shape

c)

Different shapes and sizes

d)

Only right angles

95.

Two rectangles are similar if:

a)

All sides are equal

b)

Their corresponding side lengths are in proportion

c)

They have the same area

d)

They have the same perimeter

96.

A dilation with scale factor 4 maps a segment of length 7 to a segment of length:

a)

4

b)

7

c)

11

d)

28

97.

A large triangle has side length 15. A smaller, similar triangle has corresponding side length 5. The scale factor from the large triangle to the small triangle is:

a)

3

b)

1/3

c)

5

d)

1/5

98.

Figure ABC was ​ (a)   about the ​ (b)   .

Choose from the below words
reflected
y-axis
translated
x-axis
rotated
99.
Question Image

Match each picture to the correct transformation

a)
a
1.

Reflection across the line y=x

b)
b
2.

Rotation 90 degrees CCW

c)
c
3.

Reflection across the x-axis

d)
d
4.

Reflection across the y-axis

e)

none of the above

5.

Rotation 90 degrees CW

100.

These polygons shown belong in the same group. 

Which statement best describes the polygons in this group?

Each polygon has ​ ​ (a)  

Choose from the below words
at least two pairs of perpendicular sides.
at least one obtuse angle.
at least one acute angle.
at least two pairs of parallel sides.
101.

ΔHGI≅ΔLKJ\Delta HGI\cong\Delta LKJ

Identify the following measures.

∠G=\angle G= ​ (a)  

KJ‾=\overline{KJ}= ​ (b)  

HI‾=\overline{HI}= ​ ​ (c)  

Choose from the below words

101°101\degree  

4646
33°33\degree
6
9
7

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