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UNIT 1 TEST (GEOMETRY BASICS)

Total questions: 60

Worksheet time: 10hrs 0mins

Name
Class
Date
1.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
2.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
3.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
4.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
5.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

c)

Both

d)

Neither

6.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
7.

Where does plane A and plane QRV intersect?

a)

Pt Q

b)

Pt N

c)

Line QR

d)

Line VR

8.

How many planes are present?

a)

4

b)

5

c)

6

d)

7

9.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

d)

5

10.

M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM.

a)

6

b)

4

c)

70

d)

40

11.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
12.
Find measurement for QS.
a)
7
b)
4
c)
3
d)
1
13.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
14.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
15.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

16.

Find the midpoint:

a)


(3,−1)\left(3,-1\right)

b)

(−1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

17.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
18.

 ∠ECD=122°\angle ECD=122\degree  and  ∠BCE=36°\angle BCE=36\degree . Find the measure of  ∠BCD\angle BCD  . 

a)

 ∠BCD=158°\angle BCD=158\degree  

b)

 ∠BCD=86°\angle BCD=86\degree  

c)

 ∠BCD=58°\angle BCD=58\degree  

d)

 ∠BCD=144°\angle BCD=144\degree  

19.

 ∠JKU=3x−9, ∠UKL=138°\angle JKU=3x-9,\ \angle UKL=138\degree  and    ∠JKL=15x−3\angle JKL=15x-3  . Solve for x. 



a)

x = 49

b)

x = 9.4 

c)

x = 11

d)

x = 8.3

20.

Solve

a)

x = 5

b)

x = 11

c)

x = 33

d)

x = 55

21.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
22.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
23.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
24.
An angle that measures less than 90°
a)
Acute
b)
Obtuse
c)
Right
d)
Straight
25.
Solve for x
a)
6
b)
140
c)
20
d)
90
26.
What is the measure of angle ZAX? 
a)
130o
b)
50o
c)
40o
d)
900
27.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
28.

 EJ→ \overrightarrow{EJ}\   bisects  ∠DEF\angle DEF ,  m∠DEJ=5x+7m\angle DEJ=5x+7  ,  m∠JEF=8x−8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

29.

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

a)

(18, -23)

b)

(13, 18)

c)

(11, 4)

d)

(1.5, -2)

30.

  What is the measure of ∠ QTR?What\ is\ the\ measure\ of\ \angle\ QTR?   

a)

27.6°

b)

87.8°

c)

62.2°

d)

105.8°

31.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

32.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
33.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
34.
A plane is named by...
a)
Any 1 point on the plane.
b)

Any 2 collinear points on the plane or a lowercase script letter.

c)
Any 3 non-collinear points on the plane or an uppercase script letter.
d)
All points on the plane that aren't part of a line.
35.

Name the intersection of planes M and L.

a)

line AB

b)

D

c)

line CE

d)

A

36.

∠GMP\angle GMP  is what type of angle?

a)

acute

b)

right

c)

obtuse 

d)

straight

37.

Select ALL the correct statements. (Hint: There's more than 1 answer)

a)

∠1 and ∠3\angle1\ and\ \angle3 are vertical angles.

b)

∠1 and ∠5 \angle1\ and\ \angle5\ are complementary angles.

c)

∠1, ∠5, and ∠4\angle1,\ \angle5,\ and\ \angle4 are supplementary angles.

d)

∠4 and ∠5\angle4\ and\ \angle5 are complementary angles.

e)

∠2 and ∠3 \angle2\ and\ \angle3\ are supplementary angles.

38.

Line e is a segment bisector of AB at point M. If AM = 4n-40 & MB = 7(-2n+2), find the value of n.

a)

7

b)

3

c)

5

39.
a)

11

b)

23

c)

67

d)

19

40.

<ABC is bisected by ray BD. Find the value of x.

a)

x = 76

b)

x = 75

c)

x = 73

d)

x = 25

41.

A location with no size or shape.

a)

Line

b)

Point

c)

Plane

d)

Segment

42.

Made up of points with no thickness or width; extends indefinitely in both directions.

a)

Line

b)

Segement

c)

Ray

d)

Angle

43.

A flat surface made up of points that extend indefinitely in all directions.

a)

Line

b)

Ray

c)

Segment

d)

Plane

44.

Points that lie on the same line.

a)

Collinear

b)

Coplanar

c)

Perpendicular

d)

Bisector

45.

Points that lie on the same plane.

a)

Adjacent

b)

Perpendicular

c)

Coplanar

d)

Collinear

46.

A measurable part of a line consisting of 2 endpoints.

a)

Line

b)

Line Segment

c)

Ray

d)

Angle

47.

A line, ray, or segment that divides an angle or segment into 2 equal parts.

a)

Ray

b)

Linear Pair

c)

Perpendicular

d)

Segment Bisector

48.

A part of a line that extends indefinitely in one direction.

a)

Line

b)

Ray

c)

Segement

d)

Point

49.

The intersection of two rays at a common endpoint.

a)

Angle

b)

Ray

c)

Line

d)

Plane

50.

2 angles that share a common vertex and side.

a)

Supplementary Angles

b)

Adjacent Angles

c)

Perpendicular

d)

Vertical Angles

51.

Adjacent angles that are supplementary.

a)

Complementary Angles

b)

Vertical Angles

c)

Linear Pair

d)

Collinear

52.

2 lines that intersect at a 90 degree angle.

a)

Perpendicular Lines

b)

Adjacent Angles

c)

Linear Pair

d)

Vertical Angles

53.

2 angles with measures that have a sum of 180 degrees.

a)

Complementary angles

b)

Vertical Angles

c)

Adjacent Angles

d)

Supplementary Angles

54.

Congruent angles that are across from each other on intersecting lines.

a)

Supplementary Angles

b)

Vertical Angles

c)

Complementary Angles

d)

Adjacent Angles

55.

2 angles with measures that have a sum of 90 degrees.

a)

Supplementary Angles

b)

Vertical Angles

c)

Complementary Angles

d)

Adjacent Angles

56.

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:

a)

(1,5)

b)

(0,4)

c)

(3, 1)

d)

(-1, 1)

57.

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

a)

(7,9)

b)

(9,7)

c)

(-3,9)

d)

(5,1)

58.
Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5
a)
(12, 1.6)
b)
(-1, 7.6)
c)
(-1, 6.6)
d)
(13, 1.6)
59.
Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1
a)
(3.75, 2.5)
b)
(3.75, 3.5)
c)
(4.75, 1.5)
d)
(5.75, 1.5)
60.

Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.


The coordinates for point P are:

a)

(0, 1)

b)

(0, -1)

c)

(1,2)

d)

(2,1)