Free Printable Unit 1 Geometry Review after Chapter 3

1.

What has two dimensions?

a)

Line

b)

Point

c)

Plane

2.

A ______ indicates a location or position.

a)

Line

b)

Point

c)

Plane

3.

$\overrightarrow{LM}$

a)

point LM

b)

line LM

c)

line segment LM

d)

ray LM

4.

Points that lie on the same line

a)

Space

b)

Collinear Points

c)

Bisector

d)

Coplanar Points

5.

Points or lines that are not in the same plane.

a)

Non-Coplanar

b)

Coplanar

c)

Collinear

d)

Parallel

6.

Lines that are not coplanar and do not intersect.

a)

Collinear

b)

Skew Lines

c)

Non-Collinear

d)

Ray

7.

The point that divides the segment into two segments that have the same length.

a)

Coplanar

b)

Midpoint

c)

Ray

d)

Line

8.

Two rays that have a common endpoint and form a line.

a)

Opposite Rays

b)

Plane

c)

Parallel

d)

Midpoint

9.

A line, ray or segment that divides a segment into two congruent segments.

a)

Ray

b)

Midpoint

c)

Bisector

d)

Plane

10.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

11.

Find the length indicated.

(a)

12.

If m∠ABC = 103° find x.

(a)

13.

This is what kind of angle?

a)

obtuse

b)

right

c)

straight

d)

acute

14.

What is the length of PR?

a)

11

b)

8

c)

5

d)

3

15.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

16.

Which of the following shapes are not polygons?

a)

b)

c)

d)

17.

which shape is not a polygon

a)

b)

c)

d)

18.

Convex polygon

a)

b)

c)

d)

19.

Concave polygon

a)

b)

c)

d)

20.

a)

$11cm$

b)

$25cm$

c)

$24cm^{ }$

d)

$24cm^2$

21.

The area of the parallelogram is (a) square centimeters

22.

Find the area.

a)

180

b)

90

c)

28

d)

56

23.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

24.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

25.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

26.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

27.

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

I have a dog.

28.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

I have a dog.

29.

Consider the statement:

If Ed lives South of Canada, then he lives in Texas.

Which of the following is a COUNTEREXAMPLE to this false statement?

a)

If Ed lives South of Canada, then he lives in Minnesota.

b)

If Ed lives North of Canada, then he lives in Texas.

30.

Match the following

a)

$\sim p\rightarrow\sim q$

1.

Inverse

b)

$q\rightarrow p$

2.

Converse

c)

$p\rightarrow q$

3.

Original Conditional

d)

$\sim q\rightarrow\sim p$

4.

Contrapositive

31.

Which of the following is a counterexample to the following conjecture? If $x^2\ =\ 4$ , then x = 2

a)

x = 4

b)

x = -2

c)

x = 2

d)

x = -4

32.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

33.

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

34.

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

a)

Then it's not odd.

b)

Then it's a whole number.

c)

Then its square is divisible by 4

d)

Then it's even.

35.

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

a)

You have more energy

b)

If you exercise regularly, then you have more energy

c)

You have a healthy body

d)

If you do not have a healthy body, then you do not exercise regularly

36.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

37.

What is the relationship of the angles?

a)

Corresponding angles

b)

Consecutive interior angles

c)

Alternate interior angles

d)

alternate exterior angles

38.

Which pair of angles are corresponding angles?

a)

$\angle$ 7 and $\angle$ 4

b)

$\angle$ 2 and $\angle$ 6

c)

$\angle$ 8 and $\angle$ 1

d)

$\angle$ 2 and $\angle$ 8

39.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

40.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate interior

c)

alternate exterior

d)

supplementary

41.

1) Given the two parallel lines cut by a transversal.

which angle is Alternate exterior to $\angle4$ ?

a)

$\angle2$

b)

$\angle6$

c)

$\angle8$

d)

$\angle7$

42.

Angle C and P are...

a)

Alternate Interior Angles

b)

Same Side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

43.

Identify the angle pair.

a)

Complementary angles

b)

Congruent angles

c)

Linear Pair

d)

Vertical Angles

44.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

45.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

46.

State the angle relationship and find the measure of angle 2

a)

Alternate Exterior
127

b)

Alternate Exterior
52

c)

Alternate Interior
127

d)

Alternate Interior
52

47.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

48.

Find m ∠D.

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

49.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

50.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

51.

Find the exact measures of the given angles.

(a)

52.

Which could be used to prove the lines are parallel?

a)

Converse of Alternate Interior Angles Theorem

b)

Converse of Same-Side Interior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Cannot be proved parallel

53.

Which could be used to prove the lines are parallel?

a)

Converse of Vertical Angles

b)

Converse of Alternate Interior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Cannot be proved parallel

54.

a)

No

b)

Yes, Corresponding angles are congruent

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

55.

Given that the slope is -4 and the y intercept is -4 what is the equation of the line?

a)

y = 4x - 4

b)

y = -4x - 4

c)

y = -4

d)

y = -4x + 4

56.

Identify the slope-intercept equation:

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

57.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

58.

Write the equation of the line through the points (8, −7) and (−2, 8).

a)

y = 3/2x + 11

b)

y = −3/2x + 11

c)

y = −3/2x + 5

d)

y = 3/2x − 19

59.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

60.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

61.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

62.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

63.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

64.

Which of the following formulas is the distance formula?

a)

$\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)$

b)

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

c)

$a^2+b^2=c^2$

d)

$\frac{y_2-y_1}{x_2-x_1}$

65.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

Unit 1 Geometry Review after Chapter 3

Total questions: 65

Worksheet time: 2hrs 57mins

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