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Geometry DLA Review 1

Total questions: 66

Worksheet time: 2hrs 6mins

Name
Class
Date
1.

A coordinate grid is placed over a

       College Station map.  Tiger Stadium is located at (-3, 2) and Kyle Field is located at (4, 8).  If a shuttle bus stop is at the midpoint between Tiger Field and Kyle Field, which is the closest to the distance in coordinate units from Tiger Field to the shuttle bus stop?

a)

4.61 units

b)

6.52 units

c)

9.22 units

d)

21.25 units

2.

Which of the following is not a true statement?

a)

Through any two points there is a line.

b)

Space is the set of all points.

c)

A plane is a curved surface that extends infinitely in all directions.

d)

A point is a location in space.

3.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

4.

___________ are lines that lie in the same plane

a)

Coplanar Lines

b)

Line Segment

c)

Collinear Points

d)

Intersection

5.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

6.

Find the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)

a)

(8,2)

b)

(-26,-14)

c)

(0,-10)

d)

(-2,-8)

7.

Points on the same line are __________ points

a)

Coplanar

b)

Coordinate

c)

Conjecture

d)

Collinear

8.

A straight figure having no thickness and extending infinitely in both directions

a)

line

b)

ray

c)

point

d)

straight angle

9.

A line with a single endpoint (or point of origin) that extends infinitely in one direction

a)

line

b)

ray

c)

point

d)

straight angle

10.

Which of the following is the correct description of the picture?

a)

Ray with endpoint A

b)

Ray with endpoint B

c)

Segment with endpoints A and B

d)

Line containing points A and B

11.

Which of the following words describe the picture?

a)

Ray

b)

segment

c)

line

d)

plane

12.

What is the intersection of planes R and P?

a)

Point I

b)

Point H

c)

line HI

d)

ray HI

13.

How many noncollinear points determine a plane?

a)

1

b)

2

c)

3

d)

infinitely many

14.

This geometric object has no dimension and is represented as a single dot in space

a)

point

b)

line

c)

plane

d)

ray

15.

This has one endpoint and extends infinitely in 1 direction

a)

Line

b)

point

c)

line segment

d)

ray

16.

Formed by two rays that share a common end point

a)

Angle

b)

Opposite Rays

c)

Congruent

d)

Line

17.

Two angles that add to be 90 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Right Angle

18.

Two angles that add to be 180 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Straight Line

19.

Name the angle in the image

a)

∠OAB

b)

∠OBA

c)

∠AOB

d)

∠BOA

20.

The symbol ⊥ is used for which of the following notations?

a)

Parallel Lines

b)

Perpendicular lines

c)

Congruency

d)

Opposite Rays

21.

Challenge problem: Segment DP is an angle bisector

a)

12.5

b)

25

c)

75

d)

50

22.

name the plane that is highlighted in the diagram.

a)

Plane WVQ

b)

Plane TWS

c)

Plane PSR

d)

Plane SRW

23.

If the measure of ABC=98\angle ABC=98^{\circ}  and BD\overrightarrow{BD}  is an angle bisector. What is the measure of ABD and DBC\angle ABD\ and\ \angle DBC  ?

a)

196

b)

98

c)

49

d)

Can't be determined

24.

What is a counterexample of the statement below?

"If an animal has wings, then it can fly."

a)

Duck

b)

Penguin

c)

Rabbit

d)

Snake

25.

What is the converse of "If you are hungry, then you did not eat lunch?"

a)

If you did not eat lunch, then you are hungry.

b)

If you are not hungry, then you ate lunch.

c)

If you ate lunch, then you are not hungry.

d)

You are hungry if and only if you did not eat lunch.

26.

What is the hypothesis of the given statement?

"If pigs had wings, you could fly."

a)

Pigs have wings.

b)

You can fly.

c)

Pigs do not have wings.

d)

You cannot fly.

27.

What is the inverse of the statement below?

"If the key fits, then the lock opens."

a)

If the lock opens, then the key fits.

b)

If the key does not fit, then the lock does not open.

c)

If the lock does not open, then the key does not fit.

d)

If the key fits, then the lock does not open.

28.

What is the converse of "If there are clouds in the sky, then it is raining"?

a)

If it is raining, then there are clouds in the sky.

b)

If it is not raining, there are clouds in the sky.

c)

If it is raining, then there are no clouds in the sky.

d)

If it is not raining, then there are no clouds in the sky.

29.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
30.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
31.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
32.

1\angle1  and 2\angle2  are

a)

vertical

b)

adjacent

33.

2\angle2  and 4\angle4  are

a)

vertical

b)

supplementary

34.

1\angle1  and 2\angle2  are

a)

complementary

b)

supplementary

35.

KHL\angle KHL  and LHM\angle LHM  are

a)

adjacent

b)

supplementary

36.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
37.

QRT\angle QRT  and  TRS\angle TRS are supplementary. Solve for x.

a)

12

b)

15

c)

9

d)

3

38.
Solve for x.
a)
27
b)
23
c)
47
d)
113
39.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
40.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

41.
What is the value of "a"?
a)
75°
b)
65°
c)
55°
d)
85°
42.

This geometric object is finite and has 2 endpoints

a)

Line

b)

Ray

c)

Plane

d)

Line Segment

43.
What is the value of "x"?
a)
20
b)
30
c)
25
d)
15
44.
What is the value of "x"?
a)
19
b)
28
c)
18
d)
30
45.

QS  \overrightarrow{QS}\ \ bisects  PQR\angle PQR  
If mPQS=63, then find mRQS.If\ m\angle PQS=63,\ then\ find\ m\angle RQS.  

a)

27

b)

31.5

c)

63

d)

126

46.

QS  \overrightarrow{QS}\ \ bisects  PQR\angle PQR  
If mRQS=71,If\ m\angle RQS=71,  
then find mPQR.then\ find\ m\angle PQR.  

a)

19

b)

35.5

c)

71

d)

142

47.

Vertical angles ...

a)

add up to 180

b)

add up to 90

c)

are congruent (have the same measurement)

d)

share a ray (are next to each other)

48.

QS  \overrightarrow{QS}\ \ bisects  PQR\angle PQR  
If mPQR=120, then find mPQS.If\ m\angle PQR=120,\ then\ find\ m\angle PQS.  

a)

30

b)

60

c)

120

d)

180

49.

Find the value of x and y.

a)

x = 20 and y = 94

b)

x = 67 and y = 40

c)

x =117 and y = 63

50.

Which angles are vertical angles?

a)

8  and 7\angle8\ \ and\ \angle7

b)

8 and 6\angle8\ and\ \angle6

c)

8 and 5\angle8\ and\ \angle5

51.
1. Find X 
a)
28
b)
5
c)
55
d)
40
52.
If x = 20, what are the measures of these angles?
a)
40° and 140°
b)
35° and 145°
c)
70° and 110°
d)
60° and 120°
53.

What is the complement of an angle whose measurement is 84 degrees?

a)

96 degrees

b)

6 degrees

c)

86 degrees

d)

16 degrees

54.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
55.

AND find the measure of ∠ABD

a)

x=3/17 ∠ABD = 27°

b)

x=9 ∠ABD = 81°

c)

x=3 ∠ABD = 27°

d)

x= -3 ∠ABD = -27°

56.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
57.
Find the supplement of the angle
a)
108
b)
18
c)
72
d)
162
58.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
59.
What are complementary 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.
60.

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

(a)  

61.

Find the y-coordinate of the midpoint of the line

(a)  

62.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
63.

What is the length of the line segment that joins the points whose coordinates are (4,7) and (−3,5)?

a)

5\sqrt{5}

b)

53\sqrt{53}

c)

196\sqrt{196}

d)

363\sqrt{6}

64.

Find the distance.

a)

2152\sqrt{15}

b)

61\sqrt{61}

c)

11\sqrt{11}

d)

5\sqrt{5}

65.

Find the distance between (-5, -8) and (-1, -16).

a)

4374\sqrt{37}

b)

545\sqrt{4}

c)

10

d)

454\sqrt{5}

66.

What is the distance between the two points?

a)

2102\sqrt{10}

b)

10210\sqrt{2}

c)

222\sqrt{2}

d)

424\sqrt{2}