Free Printable Geometry Units 1, 2, 3 Review

Worksheets

Geometry Units 1, 2, 3 Review

Total questions: 40

Worksheet time: 2hrs 0mins

Name

Class

Date

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

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

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

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

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

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

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

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

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

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

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

If I have a Siberian Husky.

I have a Siberian Husky.

Then I have a dog.

I have a dog.

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

If I have a Siberian Husky.

I have a Siberian Husky.

Then I have a dog.

I have a dog.

What is this?

Conditional Statement

Inverse

Converse

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

6) The ratio is 3:1. How many parts are there?

Determine the ratio of the directed line segment AB when partitioned by point P.

1:2

2:1

1:1

3:1

1:4

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

The coordinates of the point P are:

(1,5)

(0,4)

(3, 1)

(-1, 1)

Solve for the value of x.

x = 10

x = 20

x = 3

x = 45

10.

What does the word BISECT mean?

To cut something into more than five pieces.

It is a plane with two sets of wings.

A shape that has three sides.

To cut something into two congruent pieces or in half.

11.

Two angles are _______________ if the sum if their measures is 90 $\degree$

adjacent

linear pair

complementary

vertical

supplementary

12.

Two angles are _______________ if the sum if their measures is 180 $\degree$

adjacent

linear pair

complementary

vertical

supplementary

13.

Choose the angle that is supplementary to a 22 $\degree$ angle.

$22\degree$

$44\degree$

$68\degree$

$90\degree$

$158\degree$

14.

Choose the angle that is complementary to a 22 $\degree$ angle.

$22\degree$

$44\degree$

$68\degree$

$90\degree$

$158\degree$

15.

Find the volume.

55 yd³

121 yd³

22 yd³

330 yd³

16.

What is the volume of this 3D figure?

16,170 cubic meters

8,085 cubic meters

2,695 cubic meters

5,390 cubic meters

17.

What is the Surface Area?

135.65 m²

242.32 m²

872.89 m2

825.25 m²

18.

What is the Surface Area?

987.21 mi³

1017.36 mi³

127.76 mi³

2013.74 mi³

19.

Find the area of the trapezoid.

18 m²

165 m²

84 m²

22.5 m²

20.

What is the area of this figure?

7 units²

15 units²

7 1/2 units²

15 1/2 units²

21.

Solve.

102 m²

39 m²

51.2 m

81 m²

22.

There are approximately 17,620 people per square mile in New York City. If New York City is 468 square miles, approximately how many people live in New York City?

10,000,000

8,246,160

4,365,111

56,778,112

23.

As of 2015, the most densely populated state in the US was New Jersey. The 2015 population was 8,957,907 people and the land area was 7,354 square miles. What is the the population density to the nearest tenth?

1218.1 people per sq mi

1500 people per sq. mi.

325 people per sq. mi.

8569 people per sq. mi.

24.

There are approximately 690 grizzly bears in Yellowstone National Park giving them a population density of about .1987 grizzlies per square mile. What is the area of the park to the nearest whole number?

731 mi²

137 mi²

3473 mi²

4337 mi²

25.

Which of the following constructions is illustrated?

An angle is congruent to a given angle

The bisector of a given angle

The bisector of a given segment

The perpendicular bisector of a given segment.

26.

Name the construction.

Angle bisector

Perpendicular line to a point not on a line

Perpendicular line to a point on the line

Perpendicular bisector of a line segment

27.

Name the construction.

Angle bisector

Di-sect an angle

Copy an angle

Vertical angles

28.

What was duplicated?

line

line segment

ray

angle

29.

Find the length indicated.

(a)

30.

Write an equation that correctly models the lengths shown.

2x + 20 + x + 21 = 9

2x + 20 + 9 = x + 21

9 + x + 21 = 2x + 20

2x + 20 - 9 = x + 21

31.

Given the diagram, which is correct?

BC+CD=BD

BD+BC=CD

BD+BC=BC

BC+BD=CD

32.

Find the value of ∠A.

25 degrees

30 degrees

35 degrees

90 degrees

33.

What is the justification?

Transitive Property of Equality

Subtraction Property of Equality

Division Property of Equality

Substitution Property of Equality

34.

What is the justification?

Definition of congruence

Reflexive Property of Congruence

Segment Addition Postulate

Definition of Midpoint

35.

Given: B is the midpoint of AC. What should you conclude?

AB + BC = AC

AB = BC

A is the segment bisector of BC

ABC is a straight angle

36.

What is reason 1?

37.

Which of the following is the best option to fill in for blank #1 in the STATEMENTS section of this geometric proof?

Given

m∠1 + m∠3 = 180°

∠1 ≅ ∠4

∠1 and ∠3 are supplementary

38.

If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.

Vertical Angles Theorem

Definition of Congruent Angles

Angle Addition Postulate

Batman

39.

If ∠CAT is a right angle, then m∠CAT = 90°.

Definition of Right Angle

Definition of Congruent Angles

Angle Addition Postulate

Segment Addition Postulate

40.

If AC ⊥ BD, then ∠DBC is a right angle.

Definition of Perpendicular Lines

Definition of Right Angle

Angle Addition Postulate

Segment Addition Postulate

100 %

Geometry Units 1, 2, 3 Review

Total questions: 40

Worksheet time: 2hrs 0mins

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