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Worksheets

Tools of Geometry

Total questions: 25

Worksheet time: 49mins

Name
Class
Date
1.

A ________ is described as a location.

a)

point

b)

line

c)

plane

d)

collinear points

2.

These are points that are all located on the same line.

a)

coplanar lines

b)

points

c)

collinear points

d)

skew lines

3.

This is described as a flat surface.

a)

point

b)

lines

c)

plane

d)

skew lines

4.
This point divides a line segment into 2 equal parts.
a)
point
b)
vertex
c)
midpoint
d)
segment
5.

Solve the equation

a)

-84

b)

84

c)

-19

d)

19

6.

A _____ is part of a line that consists of two endpoints and all points between them.

a)

point

b)

line

c)

plane

d)

segment

7.

9n + 4 = 3n + 18

a)

3.5

b)

3.2

c)

2.3

d)

2.6

8.

3.Evaluate each expression when x = 3

a)

18

b)

45

c)

72

d)

27

9.

4.Evaluate each expression when x = 3

a)

63

b)

-63

c)

5

d)

9

10.

6.Which three points in the figure are collinear?

a)

points F, E, G

b)

points A, B, C

c)

points C, B, D

d)

points A, C, D

11.

Which answer below could be a name for the plane that contains point E.

a)

plane DGA

b)

plane ADB

c)

plane P

d)

plane FDA

12.

8.Given A is between Y and Z and YA= 10.5, AZ = 4x, and YZ = 42.5, find the length of AZ.

a)

4

b)

8

c)

32

d)

16

13.

9.Find the length of PQ

a)

45.2

b)

20.5

c)

45.8

d)

19.6

14.

10.Find the value of y if B is between A and C, AB = 4y, BC = 5y, and AC = 72.

a)

8

b)

32

c)

40

d)

9

15.

19.Make a conjecture about the next term in this sequence:

92, 87, 82, 77, 72,….

a)

97

b)

67

c)

-7

d)

7

16.

20.Identify the hypothesis of the statement: If x + 4 = 5, then x = 1.

a)

If x + 4 does not = 5 then x does not = 1

b)

x + 4 =5

c)

x = 1

d)

If x = 1, then x + 4 = 5.

17.

21.Identify the converse of the statement: If cats fly, then ducks bark.

a)

If cats do not fly, then ducks do not bark.

b)

If ducks do not bark, then do not fly.

c)

cats fly

d)

If ducks bark, then cats fly

18.

22.If 3x = 6, then x = 2.

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Division Property of Equality

19.

23.If  m∠Am\angle A = 10 and  m∠Bm\angle B  =10 then  m∠A =m∠Bm\angle A\ =m\angle B  

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Division Property of Equality

20.

When two lines intersect they intersect at a

a)

point

b)

another line

c)

a plane

d)

more than one point

21.

12.Find the coordinates of the midpoint of line LB if L(9,6) and B(-5,3)

 (x1+x22,y1+y22)\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)  



a)

(4.5, 2)

b)

(2,4.5)

c)

(4,9)

d)

(9,4)

22.

11.Find the distance between P(1,9) and Q(-4,2)

 (x1−x2)2+(y1−y2)2\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}  

a)

8.06

b)

8.6

c)

6.08

d)

6.8

23.

Evaluate the expression when x = 3

 2x2+92x^2+9  

a)

45

b)

27

c)

21

d)

36

24.

Find the value of x.

a)

36

b)

18

c)

72

d)

12

25.

Find the distance between AD

a)

8

b)

-6

c)

-8

d)

6