Free Printable Geometry FUN

Worksheets

Geometry FUN

Total questions: 53

Worksheet time: 2hrs 20mins

Name

Class

Date

It is a straight arrangement of points extending without end in opposite directions.

Point

segment

Ray

Line

Collinear

It is formed by two rays that intersect at a common

endpoint

Angle

Complimentary

Parallel

Plane

Line

Points that lie on the same straight line.

Plane

Coplanar

Collinear

Parallel

Perpendicular

It is a part of a line that consists of two points called endpoints and all of the points between those endpoints.

Ray

Segment

Line

Coplanar

Plane

It is part of a line that consists of a point called an endpoint and

all points on the line that extend in one direction.

Point

Segment

Ray

Line

Plane

A flat, two-dimensional surface that extends infinitely far in all directions.

Point

Segment

Ray

Plane

Line

What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

Tomorrow is Wednesday.

We have school.

Today is Tuesday.

We do not have school.

Write the conclusion of the statement,

"If you are Anthony Rizzo, then you are a Chicago Cub."

You are Anthony Rizzo.

You are a Chicago Cub.

The Cubs are the best.

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

10.

Write the contrapositive of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

11.

Write the inverse of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

12.

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

Converse

Inverse

Contrapositive

Negation

13.

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

You have more energy

If you exercise regularly, then you have more energy

You have a healthy body

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

14.

If I go on vacation, I’ll spend money. If I spend money, I’ll be broke. If I’m broke, I’ll have to get another job.

What can you conclude?

If I get another job, I'll spend money.

If I go on vacation, I'll have to get another job.

Nothing

If I'm broke, I'll spend money.

15.

∠1 and ∠3 can best be described as - (opposite angles formed by intersecting lines.)

complementary angles

supplementary angles

vertical angles

adjacent angles

16.

The angle relationship shown is -

complementary angles

supplementary angles

vertical angles

adjacent angles

17.

Find what the value of x.

118

108

18.

What is the relationship of the angles

Alternate Interior

Alternate Exterior

Corresponding

Vertical

19.

What is the relationship of the Angles

Alternate Interior

Alternate Exterior

Corresponding

Same Side Interior

20.

What is the angle relationship?

Alternate Interior

Alternate Exterior

Corresponding

Same Side Interior

21.

What is the Angle Relationship

Alternate Interior

Alternate Exterior

Corresponding

Same Side-Interior

22.

Write a rule for the translation.

(x -1, y + 2)

(x -2, y + 1)

(x +2, y - 1)

(x +1, y - 2)

23.

Identify the transformation from ABC to A'B'C'.

90^o clockwise rotation

90^o counter clockwise rotation

Reflection across the y-axis

Reflection across the x-axis

24.

What would the new point be if you rotated the point (4,9) 180°about the origin?

a. (-9,4)

b. (-4,-9)

c. ( 9, -4)

d. (4,9)

25.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)

26.

How many degrees was the figure rotated?

90 degrees counterclockwise

180 degrees

90 degrees clockwise

27.

Dilate Point B by a scale factor of 3:

(12,0)

(12,12)

(4,3)

(0,12)

28.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

29.

Which triangle congruence theorem can be used to prove the triangles are congruent?

SAS

SSS

ASA

30.

Which triangle congruence theorem can be used to prove the triangles are congruent?

SSS

ASA

AAS

SAS

31.

Which triangle congruence theorem can be used to prove the triangles are congruent?

AAS

SSS

Not enough information given

ASA

32.

Which triangle congruence theorem can be used to prove the triangles are congruent?

AAS

SSS

SAS

SSA

33.

Which triangle congruence theorem can be used to prove the triangles are congruent?

SAS

Not enough information

SSS

AAS

34.

Which triangle congruence theorem can be used to prove the triangles are congruent?

SSS

SAS

ASA

AAS

35.

Use the congruency statement to answer the following:

\angle F=?

$\angle H$

$\angle I$

$\angle G$

not congruent to another angle

36.

∆ABC≅∆XYZ
which is true?

AB≅XY

AB≅YX

AB≅XZ

BC≅CB

37.

Determine whether the triangles are similar(name the postulate or theorem you used).

SSS similar

AA similar

SAS similar

38.

What is the value of X and Y ?

X=2.5 and Y=6.5

X=6.5 and Y=2.5

X=3 and Y=7

X=2 and Y= 5

39.

If the triangles are similar, state how.

SSS

SAS

Not similar

40.

Choose the similarity statement for the triangles.

ΔMNL ∼ ΔOPQ

ΔNOM ∼ ΔPQL

ΔLMN ∼ ΔPQO

ΔMLN ∼ ΔPQO

41.

What is the value of X?

X=4

X=6

X=3

X=2

42.

Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)

SSS

SAS

None, the triangles are not similar

43.

Level 2

Solve for the value of y

44.

_{^{Find the missing side}}

26.9

18.2

45.

Given the lengths 4", 7", 10", classify the triangle formed and or state that no triangle CAN be formed.

No triangle

Acute triangle

Right triangle

Obtuse triangle

46.

Given the lengths 4", 6", 7", classify the triangle formed and or state that no triangle CAN be formed.

No triangle

Acute triangle

Right triangle

Obtuse triangle

47.

Given the lengths 6", 8", 10", classify the triangle formed and or state that no triangle CAN be formed.

No triangle

Acute triangle

Right triangle

Obtuse triangle

48.

FInd tanX

32/40

40/24

32/24

24/32

49.

Find cosA

30/16

30/34

30/15

16/34

50.

Find x round to the nearest tenth.

46.1

4.9

16.4

26.9

51.

What is the length of side x?

6.57 cm

7 cm

7.44 cm

26.33 cm

52.

What is the length of y in this picture?

5√2

53.

What is the length of u and v in this 30-60-90 triangle?

u = 8 v = 6.93

u = 5.66 v = 8

u = 16 v = 8

u = 6.93 v = 8

Reset

Geometry FUN

Total questions: 53

Worksheet time: 2hrs 20mins

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