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Review Section 1 - Intro to Geometry

Total questions: 35

Worksheet time: 46mins

Name
Class
Date
1.

Line AB contains ___________ point(s) and has ________ endpoint (s).

a)

infinite, no

b)

infinite, one

c)

infinite, two

d)

no, no

e)

one, one

2.

Select all statements that apply to the figure.

a)

Plane Q and Plane R are parallel.

b)

Points F, C, and B are collinear.

c)

Line p and Line m intersect at point C

d)

Points G, A, and E are coplanar.

e)

Line p ⊥ Line q

3.

Ray AB contains ___________ point(s) and has ________ endpoint (s).

a)

infinite, no

b)

infinite, one

c)

infinite, two

d)

no, no

e)

one, one

4.

Segment AB contains ___________ point(s) and has ________ endpoint (s).

a)

infinite, no

b)

infinite, one

c)

infinite, two

d)

no, no

e)

one, one

5.

Which of the following describes line AB?

a)

 AB\overline{AB}  

b)

 ABAB  

c)

 AB\overrightarrow{AB}  

d)

 AB\overleftarrow{A}\overrightarrow{B}  

6.

Which of the following describes ray AB?

a)

 AB\overline{AB}  

b)

 ABAB  

c)

 AB\overrightarrow{AB}  

d)

 AB\overleftarrow{A}\overrightarrow{B}  

7.

Which of the following describes segment AB?

a)

 AB\overline{AB}  

b)

 ABAB  

c)

 AB\overrightarrow{AB}  

d)

 AB\overleftarrow{A}\overrightarrow{B}  

8.

Parallel Lines ___________ intersect.

a)

always

b)

sometimes

c)

never

9.

Two segments ___________ intersect.

a)

always

b)

sometimes

c)

never

10.

Two lines that do not intersect are ____________ skew.

a)

always

b)

sometimes

c)

never

11.

Skew lines are ________ coplanar.

a)

always

b)

sometimes

c)

never

12.

Perpendicular lines are ________ skew.

a)

always

b)

sometimes

c)

never

13.

Through any two points there is _______ a line.

a)

always

b)

sometimes

c)

never

14.

Given SR=5x-11, RT=4x-6, and ST=37. Solve for RT.

a)

6

b)

18

c)

19

d)

5

15.

Anaya has the layout of her yard. She wants to build a fountain halfway between the shed and the gazebo. Determine the coordinates of the fountain.

a)

(5.5,4.5)

b)

(1,2)

c)

(5.5,5)

d)

(5,5)

16.

Anaya has the layout of her yard. Determine the perimeter if she were to build a fence creating a triangle with the shed, house, and gazebo. If each grid line represents a foot, round to the nearest foot.

a)

12

b)

11

c)

10

d)

9

17.

If the midpoint of  QR\overline{QR}  is (-3,12) and one endpoint is Q(4,8). Determine the x-coordinate of R. 

a)

16

b)

10

c)

0.5

d)

-10

18.

If the midpoint of  QR\overline{QR}  is (-3,12) and one endpoint is Q(4,8). Determine the y-coordinate of R. 

a)

16

b)

10

c)

32

d)

4

19.

Determine AM if M is the midpoint of  AB\overline{AB} .

a)

3

b)

22

c)

21

d)

42

20.

A line that is parallel to the x-axis could contain which points? Select all that apply.

a)

(4,2)

b)

(-3,0)

c)

(0,13)

d)

(-5,3)

e)

(0,0)

21.

A line that is parallel to the y-axis could contain which points? Select all that apply.

a)

(0,0)

b)

(-3,0)

c)

(8,13)

d)

(0,-9)

e)

(12,11)

22.

Determine of the lines are parallel, perpendicular, or neither.

a)

parallel

b)

perpendicular

c)

neither

23.

Determine of the lines are parallel, perpendicular, or neither.

a)

parallel

b)

perpendicular

c)

neither

24.

Determine of the lines are parallel, perpendicular, or neither.

a)

parallel

b)

perpendicular

c)

neither

25.

Determine of the lines are parallel, perpendicular, or neither.

a)

parallel

b)

perpendicular

c)

neither

26.

Determine the construction shown in the diagram.

a)

the bisector of ∠QMS

b)

the midpoint of QR

c)

the perpendicular bisector of QR

d)

the line perpendicular to QR at point S

27.

Determine the correct reason for 2.

a)

Reflexive Property

b)

Symmetric Property

c)

Segment Addition Postulate

d)

Substitution Property

e)

Subtraction Property

28.

Determine the correct reason for 4.

a)

Reflexive Property

b)

Symmetric Property

c)

Segment Addition Postulate

d)

Substitution Property

e)

Subtraction Property

29.

Consider the construction. Which of the following statements can be used to describe the construction? Select all that apply.

a)

AB≅QS

b)

AB≅QR

c)

RS≅QR

d)

AB∥QS

e)

QS=2AB

30.

Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate map, the first car started from the point (-5,-8) and stopped at (2,7). The second car started from (-5,1) and stopped are (10,y). Determine the y-coordinate of the second car.

a)

16

b)

-2

c)

8

d)

-6

31.

The coordinates of AB is A(5,-4) and B(10,6). P lies somewhere on AB at P(7,0). Determine the ratio of AP:PB.

a)

1:2

b)

2:3

c)

3:2

d)

5:3

32.

The endpoints of EF are E(3,2) and F(12,14). If point P partitions EF in a ratio EP:PF=3:2, what are the x-coordinates of P?

a)

17.4

b)

13.5

c)

8.4

d)

5.4

33.

The endpoints of EF are E(3,2) and F(12,14). If point P partitions EF in a ratio EP:PF=3:2, what are the y-coordinates of P?

a)

18

b)

9.2

c)

7.2

d)

5.2

34.

In the diagram,  AB\overleftarrow{A}\overrightarrow{B}  is the perpendicular bisector of QR. Select all the statements that must be true.

a)

A is equidistant from Q and R.

b)

B is equidistant from Q and R. 

c)

Q is equidistant from A and B. 

d)

M is the midpoint of QR.

e)

M is the midpoint of AB.

35.

The coordinates of AB is A(-3,-7) and B(7,-2). P lies somewhere on AB at P(3,-4). Determine the ratio of AP:PB.

a)

1:2

b)

2:3

c)

3:2

d)

5:3