Quiz about Geometry (Semester 1 Test)

Question 1

A branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things.

Accepted Answer

Geometry

Answer

Algebra

Answer

Trigonometry

Answer

Calculus

Question 2

When two parallel lines are cut by a transversal, corresponding angles are ________________.

Accepted Answer

congruent

Answer

supplementary

Answer

adjacent

Answer

complementary

Question 3

Which triangle congruence theorem can be used to prove that the triangles are congruent if the 3 sides of the first triangle correspond to the 3 sides of the other triangle?

Accepted Answer

SSS

Answer

ASA

Answer

AAS

Answer

SAS

Question 4

Find the measure of angle 1.

Accepted Answer

44o

Answer

28o

Answer

136o

Answer

6o

Question 5

What does CPCTC stand for?

Accepted Answer

Corresponding parts of congruent triangles are congruent

Answer

Congruent parts of congruent triangles are congruent

Answer

Corresponding parts of corresponding triangles are corresponding

Answer

Corresponding parts of congruent triangles are complementary

Question 6

What is the length of DC?

Accepted Answer

4 units

Answer

2 units

Answer

3 units

Answer

5 units

Question 7

What is the sum of the angles of a triangle?

Accepted Answer

180o

Answer

270o

Answer

360o

Answer

90o

Question 8

Which is the postulate illustrated when 2 sides and one included angle are congruent with the 2 sides and one included angle of the other triangle?

Accepted Answer

SAS

Answer

SSS

Answer

AAS

Answer

ASA

Question 9

It is a theorem stating that when the hypotenuse and one leg of a right triangle is congruent with the hypotenuse and one leg of the other right triangle, then the two triangles are congruent.

Accepted Answer

HL

Answer

SSS

Answer

ASA

Answer

AAS

Question 10

If the dotted figure is the image, the original figure was reflected over the __________________.

Accepted Answer

y-axis

Answer

x-axis

Answer

origin

Answer

none of the above

Question 11

This point is translated 3 right and 2 down. Which diagram shows the new position of the point?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 12

How would you describe the translation of the green shape to the red shape?

Accepted Answer

3 right, 4 up

Answer

6 up

Answer

3 right, 1 up

Answer

3 up

Question 13

Find the measure of the missing angle.

Accepted Answer

50o

Answer

90o

Answer

130o

Answer

10o

Question 14

Solve for x.

Accepted Answer

6

Answer

16

Answer

50

Answer

11

Question 15

What is the measure of the third angle of a triangle whose measure of its first angle is 79^o and the 2nd angle is 43^o?

Accepted Answer

58o

Answer

43o

Answer

72o

Answer

101o

Question 16

What is the angle relationship between the indicated angles in the diagram?

Accepted Answer

Vertical Angles

Answer

Alternate Interior Angles

Answer

Corresponding Angles

Answer

Alternate Exterior Angles

Question 17

What is the angle relationship between the indicated angles in the diagram?

Accepted Answer

Alternate Interior Angles

Answer

Alternate Exterior Angles

Answer

Corresponding Angles

Answer

Vertical Angles

Question 18

Which of the following sets of angles DO make a triangle?

Accepted Answer

41, 56, 83

Answer

80, 40, 55

Answer

38, 64, 75

Answer

25, 89, 40

Question 19

Which of the following sets DO NOT make a triangle?

Accepted Answer

55, 65, 45

Answer

60, 60, 60

Answer

45, 90, 45

Answer

75, 40, 65

Question 20

What is the value of x?

Accepted Answer

38

Answer

76

Answer

57

Answer

85

Question 21

What is the line of reflection?

Accepted Answer

Reflection across x-axis

Answer

Reflection across y-axis

Answer

Reflection across x = 1

Answer

Reflection across y = 1

Question 22

Flipping a figures is a ____________.

Accepted Answer

Reflection

Answer

Rotation

Answer

Translation

Answer

Dilation

Question 23

Which of the following vectors describes the translation: 2 right, 5 down?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 24

Name the postulate, if possible, that makes the triangles congruent.

Accepted Answer

AAS

Answer

SAS

Answer

ASA

Answer

not possible

Question 25

Name a segment that is parallel to NP.

Accepted Answer

MR

Answer

QP

Answer

PR

Answer

MN

Question 26

If AM = MB, then M must be the midpoint of AB.

Accepted Answer

True

Answer

False

Question 27

When two parallel lines are cut by a transversal, corresponding angles are complementary.

Accepted Answer

False

Answer

True

Question 28

SAS postulate states that when two sides of a triangle and an included angle are congruent to the two sides and an included angle of the other triangle then the triangles are congruent.

Accepted Answer

True

Answer

False

Question 29

Find the measure of the indicated angle.

Accepted Answer

45

Answer

95

Answer

85

Answer

35

Question 30

If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180

Accepted Answer

60 degrees

Answer

180 degrees

Answer

90 degrees

Answer

50 degrees

Question 31

Find the measure of the missing angle.

Accepted Answer

50o

Answer

90o

Answer

100

Answer

130o

Question 32

Solve for x.

Accepted Answer

6

Answer

16

Answer

11

Answer

50

Question 33

Solve for x.

Accepted Answer

6

Answer

16

Answer

11

Answer

50

Question 34

Solve for x.

Accepted Answer

-11

Answer

7

Answer

9

Answer

-8

Question 35

Solve for x.

Accepted Answer

7

Answer

6

Answer

-10

Answer

-9

Question 36

Find the missing angle.

Accepted Answer

$$33\degree$$

Answer

$$147\degree$$

Answer

$$30\degree$$

Answer

$$81\degree$$

Question 37

Solve for x

Accepted Answer

x = 10

Answer

x = 1/10

Answer

x = 4

Answer

x = 5

Question 38

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 10

Answer

x = 4

Answer

x = 2

Answer

x = 5

Question 39

Find missing side

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 40

Are the following similar? Why or why not?

Accepted Answer

No, the ratios of the corresponding sides are not equal.

Answer

Yes

Answer

No, the corresponding angles are not equal.

Question 41

Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?

Accepted Answer

22.5 cm

Answer

8 cm

Answer

10.8 cm

Answer

30 cm

Question 42

Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?

Accepted Answer

13.5 in.

Answer

11 in.

Answer

9 in.

Answer

20.25 in.

Question 43

Solve for m.

Accepted Answer

9

Answer

-2

Answer

2

Answer

-9

Question 44

Which side length corresponds with EF?

Accepted Answer

LM

Answer

MN

Answer

OL

Answer

EH

Question 45

Find the ratio for sinA. (Reduce the fraction)

Accepted Answer

4/5

Answer

36/27

Answer

36/45

Answer

3/5

Question 46

Choose the correct set up to find the length of the side x.

Accepted Answer

cos(37) = x/14

Answer

cos(37) = 14/x

Answer

tan(37)=x/14

Answer

sin(37)=14/x

Question 47

Find the ratio for cosA. (Reduce the fraction)

Accepted Answer

3/5

Answer

36/27

Answer

4/5

Answer

27/45

Question 48

Solve for x. Round to the nearest tenth.

Accepted Answer

103.5

Answer

4.7

Answer

55.0

Answer

23.4

Question 49

What is the value of x?

Accepted Answer

17.30

Answer

11.33

Answer

0.06

Answer

23.82

Question 50

Find the measure of the indicated angle.

Accepted Answer

$$20^{\circ}$$

Answer

$$6^{\circ}$$

Answer

$$43^{\circ}$$

Answer

$$47^{\circ}$$

Question 51

Choose the correct ratio.

Accepted Answer

cos(37)=x/14

Answer

sin(37)=x/14

Answer

tan(37)=x/14

Answer

sin(37)=14/x

Question 52

Set up the problem.

Accepted Answer

$$\cos47=\frac{28}{x}$$

Answer

$$\sin47=\frac{x}{28}$$

Answer

$$\cos47=\frac{x}{28}$$

Answer

$$ an47=\frac{x}{28}$$

Question 53

Determine how to translate triangle ABC to triangle A'B'C'.

Accepted Answer

(x - 2, y + 9)

Answer

(x - 9 , y + 2)

Answer

(x + 2, y - 9)

Answer

(x - 2, y + 5)

Question 54

Determine where Point X' would be if you translated Point X 3 units left and 9 units down.

Accepted Answer

(-4, -5)

Answer

(-5, -4)

Answer

(-1, -7)

Answer

(-1, 5)

Question 55

Determine where Point T' would be if you translated Point T 6 units up and 3 units to the right.

Accepted Answer

(5, 1)

Answer

(5, 3)

Answer

(6, 3)

Answer

(3, 6)

Question 56

What translation would result in B' at (-1, 5)?

Accepted Answer

Translation 3 units left and 1 unit up

Answer

Translation 3 units left and 1 unit down

Answer

Translation 1 unit left and 3 units up

Answer

Translation 1 unit right and 3 units down

Question 57

How is trapezoid ABCD translated to trapezoid A'B'C'D'? Select all that apply.

Accepted Answer

Translated 8 units down and 5 units right

Accepted Answer

Translation: (x, y) --> (x + 5, y - 8)

Answer

Translation: (x, y) --> (x - 8, y + 5)

Answer

Translated 5 units down and 1 unit right

Answer

Translated 5 units down and 5 units right

Question 58

How would you translate point P to P'? Select all that apply.

Accepted Answer

Translate 2 units to the right and 8 units down

Accepted Answer

Translation: (x, y) --> (x + 2, y - 8)

Answer

Translate 4 units down and 2 units to the right

Answer

Translation: (x, y) --> (x - 8, y + 2)

Answer

Translation: (x, y) --> (x + 8, y - 2)

Question 59

The following shows a reflection across the

Accepted Answer

y-axis.

Answer

x-axis.

Answer

y = x.

Answer

y = -x.

Question 60

The following shows a reflection across the

Accepted Answer

x-axis.

Answer

y-axis.

Answer

y = x.

Answer

y = -x.

Question 61

What are the coordinates of the following triangle reflected across the x-axis?

Accepted Answer

A'(2,-4); B'(4,-6); C'(6,-2)

Answer

A'(2,4); B'(4,6); C'(6,2)

Answer

A'(-2,4); B'(-4,6); C'(-6,2)

Answer

A'(4,2); B'(6,4); C'(2,6)

Question 62

Find the slope of the line that passes through
(1, -19) and (-2, -7)

Accepted Answer

-4

Answer

4

Answer

1/4

Answer

-1/4

Question 63

Calculate the slope.

Accepted Answer

m=4/3

Answer

m=-4/3

Answer

m=-3/4

Answer

m=3/4

Question 64

Question 64.

Accepted Answer

20

Answer

36.66667

Answer

25

Answer

65

Geometry (Semester 1 Test)

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