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Honors Geo 1.1-1.6 Review Points, Lines, and Planes

Total questions: 88

Worksheet time: 6hrs 22mins

Name
Class
Date
1.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
2.
Name the Image. 
a)
Ray
b)
Point
c)
Line
d)
Line segment
3.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
4.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
5.
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.
6.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

c)

Both

d)

Neither

7.

Find MK.

a)

6

b)

4

c)

14

d)

8

8.

Find AC

a)

3

b)

4

c)

5

d)

2

9.
Find AC
a)
7
b)
8
c)
22
d)
23
10.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
11.

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

a)

11

b)

12

c)

8

12.

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

13.

M is the midpoint of the line segment. Find the value of x.

a)

x=47

b)

x=19

c)

x=33

d)

x= -47

14.
Find KL.
a)
18
b)
15
c)
6
d)
20
15.
Find the distance between J and K.
a)
√68
b)
√8
c)
9
d)
√53
16.
Find the distance between (-4, 5)
and (7, 18).
a)
√202
b)
√538
c)
√178
d)
√290
17.
Find the distance between (3, 24)
and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
18.
What is the midpoint between (-4,4)
and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
19.
What is the midpoint between (3, -1)
and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
20.
What is the midpoint between (10, 9)
and (-10, -5)
a)
(10, 2)
b)
(0, -2)
c)
(0, 2)
d)
(2, -2)
21.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
22.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
23.
Given that A is between B and C, which Segment Addition statement is correct?
a)
AB + BC = AC
b)
BC + BA = BC
c)
BA + AC = BC
d)
AB + BC = AC
24.
Solve
a)
x = 6
b)
x = 7
c)
x = 12
d)
x = 144
25.
Solve 
a)
x = 5
b)
x = 11
c)
x = 33
d)
x = 55
26.
a)
m∠GHK=26, m∠KHJ=26
b)
m∠GHK=26, m∠KHJ=52
c)
m∠GHK=52, m∠KHJ=52
d)
m∠GHK=52, m∠KHJ=26
27.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
28.
B is the midpoint of AC.  Find AB.
a)
= 2
b)
= 16
c)
= 8
d)
= 4
29.
Given D is between C and E, Use the segment addition postulate to solve for x.
a)
9
b)
0
c)
8
d)
-8
30.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
31.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) 
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
32.
M(2,1) is the midpoint of PQ, and P(2,5). Find the coordinates of Q.
a)
Q(4,6)
b)
Q(0,-4)
c)
Q(2,-3)
d)
P(2,6)
33.
Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)
a)
(-6, 14)
b)
(-4, -12)
c)
(13, -1)
d)
(5, 13)
34.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
35.
Solve
a)
80°
b)
40°
c)
180°
d)
140°
36.
Find the value of ∠A.
a)
25°
b)
30°
c)
35°
d)
90°
37.
Name all the angles that have V as a vertex.
a)
A
b)
B
c)
C
d)
D
38.
Solve
a)
25°
b)
125°
c)
145°
d)
45°
39.
Solve for x
a)
x = 77
b)
x = 7.5
c)
x = 8
d)
x = 18
40.

Name the angle with one arc

a)

< FIE

b)

< EIR

c)

< FIR

d)

< RIE

41.
Name the angle with two arcs
a)
< FIE
b)
< EIR
c)
< FER
d)
< FIR
42.
Find m∠PQR
a)
20o
b)
160o
c)
180o
d)
140o
43.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
44.
Find m∠WXY
a)
105o
b)
30o
c)
75o
d)
140o
45.
What are these figures called?
a)
Points
b)
Lines
c)
Angles
d)
Planes
46.

Which one is NOT a way to name this angle?

a)

∠ABC

b)

∠CAB

c)

∠1

d)

∠A

47.

Which one is a way to name this line?

a)

̅A̅ ̅B̅

b)

̅B̅ ̅A̅

c)

Line A

d)

Line l

48.
What is this Symbol called?
a)
Congruent
b)
Equal
c)
Parallel Lines
d)
Angle
49.
What is it called when points lie on the same line.
a)
Midpoint
b)
Coplanear
c)
Segment Bisector
d)
Collinear
50.

Which is used to represents a "line"?

a)
b)
c)
d)
51.

Which is used to represents a "line segment" ?

a)
b)
c)
d)
52.

Which is used to represents a "ray"?

a)
b)
c)
d)
53.
How can you prove a conjecture is false?
a)
Counterexample
b)
Not Possible
c)
Patterns
54.
Find the next number in the sequence.
1, -1, 2, -2, 3, ___
a)
4
b)
-4
c)
3
d)
-3
55.
Which of the following conjectures is false?
a)
The product of two even numbers is even.
b)
The sum of two even numbers is even.
c)
The product of two odd numbers is odd.
d)
The sum of two odd numbers is odd.
56.
Complete the conjecture.
The sum of two negative numbers is ___________.
a)
positive
b)
negative
c)
odd
d)
even
57.
Determine if this conjecture is true. If not, give a counterexample.
The difference of two negative numbers is a negative number.
a)
true
b)
false; -11 - (-13)  = 2
c)
false; -7 - (-5) = 2
d)
false; -19 - (-17)
58.
Find the next item in the pattern:
-3, 6, -12, 24, ...
a)
36
b)
-36
c)
48
d)
-48
59.
Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.
a)
quadrilateral
b)
rectangle
c)
square
d)
triangle
60.
Find a pattern in the sequence.  Use the pattern to show the next two terms.
1, 3, 7, 15, 31, ___ , ___
a)
60, 120
b)
63, 127
c)
54, 116
d)
57, 121
61.
Which of the following conjectures is false?
a)
The product of two even numbers is even.
b)
The sum of two even numbers is even.
c)
the product of two odd numbers is odd.
d)
The sum of two odd numbers is odd.
62.
Which is a counterexample of: Any number divisible by 2 is divisible by 4.
a)
15÷2
b)
20÷4
c)
16÷4
d)
10÷2
63.
Solve for x. 
5x - 10 = x + 6
a)
No solution
b)
x = 1
c)
x = 2
d)
x = 4
64.

What is the rule for this pattern (x the term #)?

1st term:32

2nd term:36

3rd term:40

a)

4x+28

b)

4x+32

c)

x+4

d)

4x

65.
How many cubes would be in the 10th figure?
a)
18
b)
16
c)
17
d)
41
66.
What is the hypothesis of the given Conditional Statement?
a)
Jimmy will go to Orlando
b)
Jimmy goes on vacation
c)
Jimmy will go to Orlando
d)
Who is Jimmy?
67.
What is the converse to this statement?
a)
If it isn't dark outside, then it is not night.
b)
If it is night, then it is dark outside
c)
If it is not night, then it is not dark outside.
d)
It is night.
68.
What is the inverse to this statement?
a)
If you live in Canada, you live in Montreal
b)
If you don't live in Montreal, then you don't live in Canada.
c)
If you don't live in Canada, you don't live in Montreal.
d)
Montreal is in Brazil.
69.
What is this mean?
a)
Conditional Statement
b)
Converse
c)
Inverse
d)
Contrapositive
70.
What does this mean?
a)
Conditional Statement
b)
Inverse Statement
c)
Converse Statement
d)
Contrapositive Statement
71.
What is this?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
72.
What is the conclusion to this?
a)
Clarkson will be the coolest
b)
Clarkson will not be the coolest
c)
Clarkson gives us Mountain Dew
d)
Clarkson will not give us Mountain Dew
73.
What is the contrapositive to this?
a)
If the food is not cooked, then it is not in the oven.
b)
If the food is not in the oven, then it is not cooked.
c)
If the food is cooked, then its in the oven.
d)
If food is not in the oven, then its cooked.
74.
To write the converse you negate both the hypothesis and the conclusion.
a)
False
b)
True
75.
Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
76.
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. 
77.
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. 
78.
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. 
79.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
80.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
81.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
82.

Write a definition of congruent angles as a biconditional statement.

a)

Angles are congruent if they have the same size and shape.

b)

If angles are congruent, then they have the same size and shape.

c)

Congruent angles are the same.

d)

Angles are congruent if and only if they have the same size and shape.

83.

Write a definition of a right angle as a biconditional statement.

a)

An angle is a right angle if and only if it has a measure of 90 degrees.

b)

An angle has a measure of 90 degrees if and only if it is a right angle.

c)

Right angles are 90 degrees.

d)

If an angle is a right angle, then it has a measure of 90 degrees.

84.

Select the conditional statement(s) of the biconditional statement.


Points are collinear if and only if they all lie in one line.

a)

If collinear points lie in one line, then they are a line.

b)

If points all lie in one line, then they are collinear.

c)

Collinear points lie in one line.

d)

If points are collinear, then they all lie in one line.

85.

Select the conditional statement(s) of the biconditional statement:


Points lie in one plane if and only if they are coplanar.

a)

Coplanar points lie in one plane.

b)

If points lie in one plane, then they are coplanar.

c)

If points are coplanar, then they lie in one plane.

d)

Planes have coplanar points.

86.

Write the conditional statements as a biconditional statement:


1) If B is between A and C, then AB+BC=AC.

2) If AB+BC=AC, then B is between A and C.

a)

Segment Addition Postulate

b)

B is between A and C when AB+BC=AC if and only if Segment Addition Postulate.

c)

B is between A and C if and only if AB+BC=AC.

87.

Select the counterexample to the conditional statement:

If  n2 = 5nn^{2\ }=\ 5n  , then  n=5n=5 .

a)

 n=5n=-5  

b)

 n=0n=0  

c)

 n=5n=5  

88.

Identify the hypothesis and conclusion:

If  3x7=323x-7=32  , then  x=13.x=13. 

a)

Hypothesis:  3x7=323x-7=32  
Conclusion: x=13x=13  

b)

Hypothesis: x=13x=13  
Conclusion:  3x7=323x-7=32