Unit 1 Geometry Practice

Unit 1 Geometry Practice

Points, Lines, Planes, Segments, Distance, Midpoint, etc.

Are YOU ready for the Test??

Name the opposite rays using the correct notation.

AT and AZ

ZAT

Vocabulary:

Points that lie on the same plane

coplanar

Vocabulary:

An object consisting of two endpoints and all of the

points between them

line segment

Name the plane shown in two different ways

Possible answers: plane K OR plane FGC

C

F

B

GK

Name this ray correctly.

ZB

B

Z

What is the approximate length of a segment with endpoints

(9, -2) and (10, -1)?

2210 9 1 2 1.40

Fill in the blank.

Two lines intersect at a ___________.

point

Vocabulary:

A flat surface that continues infinitely in all directions

plane

What formula is this and what is it used for?

This is the Midpoint formula and is used to find the point that divides a line segment

into two congruent segments.

1 2 1 2x x y y,

2 2

line

Fill in the blank.

Two planes intersect at a ___________.

Vocabulary:

An exact location in space with an indefinite shape and

size

point

Name the intersection of WT and TR.

Point T

A

B

R

T X

Y

W

C

How many points does it take to make a line?

at least 2

Where do AB and CR intersect?

They don’t intersect

A

B

R

T X

Y

W

C

Vocabulary:

An object with no thickness that continues infinitely in

two directions

line

Where do plane WCA and plane BXY intersect?

BA

A

B

R

T X

Y

W

C

If Point R is between points V and W, and you are given that VR = 6x + 3, RW = 4x + 5, and VW = 28, what is the value of x and what is the length of VR?

6x + 3 + 4x + 5= 2810x + 8 = 28

10x = 20so… x = 2

If VR = 6x + 3 and x = 2 now,

6(2) + 3VR = 15

Vocabulary:

An object with one endpoint that continues infinitely in

one direction

ray

What formula is this and what is it used for?

This is the Distance formula and is used to find the length

of a line segment.

2 2

2 1 2 1x x y y

Vocabulary:

Points that do not lie on the same line

non-collinear

Where do plane J and plane K intersect?

EG

A

D

C

F

E B

G

J

K

Which illustration below shows a correctly bisected segment?

B is correct

Vocabulary:

Points that lie on the same line

collinear

What is the midpoint of HI on the number line below?

-3.5

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

H I J K

Name all lines that intersect at point A

CA, AC, AY, YA, BA, AB

A

B

R

T X

Y

W

C

What is the midpoint of (3, -5) and (-7, 8)?

3 7 5 8 4 3, , 2,1.5

2 2 2 2

Vocabulary:

Points that do not lie on the same plane

non-coplanar

Find the length of AB.

AX + XB + BY = 375 + 2x + 3x + 2 = 37

x = 6 So….AB = 5 + 2x = 5 + 2(6) = 17

5 2x 3x + 2

A X B Y

37

What is the measure of RS?

R

S

V

2 24 3 1 2 7.62

Vocabulary:

A point, line, ray, line, line segment or plane that

intersects the segment at the midpoint.

bisector

Name three planes that intersect at point R.

Sample answer: TRC, CRY, TRY

A

B

R

T X

Y

W

C

What is the measurement of IK on the number line

below?

6

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

H I J K

If Point M is the midpoint of JK, JM = 3x + 2 and MK = x – 6, then what is the value of x?

3x + 2 = x – 62x + 2 = -6

2x = -8so… x = -4