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Worksheets

Midterm Review

Total questions: 63

Worksheet time: 47mins

Name
Class
Date
1.

Given angle  GHI\angle GHI  , what's the vertex?

a)

G

b)

H

c)

I

d)

None

2.

What is another name for NK\overleftarrow{N}\overrightarrow{K}

​ ​ ​

a)

HI\overleftarrow{H}\overrightarrow{I}  

b)

NK\overline{NK}

c)

NO\overleftarrow{N}\overrightarrow{O}

d)

NK\overrightarrow{NK}

3.

What is another name for JL\overline{JL}

​ ​ ​ ​ ​

a)

JK\overline{JK}  

b)

LJ\overline{LJ}

c)

LK\overline{LK}

d)

JL\overrightarrow{JL}

4.

What is another name for NI\overrightarrow{NI}

​ ​

​ ​ ​ ​ ​

a)

NH\overleftarrow{N}\overrightarrow{H} NI\overleftarrow{NI}

b)

IN\overrightarrow{IN}

c)

NK\overrightarrow{NK}

d)

NI\overleftarrow{NI}

5.

Point M is between points N and L. If NL = 15 and ML = 10, find the length of NM

(a)  

6.

Write an equation that correctly models the lengths shown.

a)

3x + 2 + 6 = 2x - 2

b)

2x - 2 + 6 = 3x + 2

c)

6 - 3x - 2 = 2x - 2

d)

2x + 2 + 3x + 2 = 6

7.

Let E be a point between points D and F. If DF = 9x-39, DE = 47, and EF = 3x+10. Find EF

(a)  

8.

Find AB, AC, and BC.

a)
AB = 17, BC = 63, AC = 46
b)
AB = 7, BC = 46, AC = 63
c)
AB = 17, BC = 36, AC = 63
d)
AB = 17, BC = 46, AC = 63
9.

What are the coordinates of the midpoint of a segment whose endpoints are at (3,7)\left(3,-7\right) and  (5,1)\left(-5,1\right)  ? 




(a)  

10.

The midpoint of

YS\overline{YS}  is at  E(2,4)E\left(2,4\right)  . If one of the endpoints is at  Y(0,2)Y\left(0,2\right)  , what are the coordinates of the other endpoint?



(a)  

11.

What is the distance between (-5, 5) and (1, -2)

(a)  

12.

Find the distance between (3, 24) and (7, 56).

(a)  

13.

Find the missing angle.

(a)  

14.

What is the value of "a"?

(a)  

15.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

16.

If the m∠D is 84° what is the measure of ∠B

(a)  

17.

Supplementary angles always add up to

(a)  

18.

Complementary angles always add up to

(a)  

19.

Solve for x

(a)  

20.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

21.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

22.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

23.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

a)

If a species does not live in water, then it is not a fish.

b)

If a species is not a fish, then it does not live in water.

c)

If a species lives in water, then it is a fish.

d)

There is not contrapositive of the statement.

24.

Which of the following is the BICONDITIONAL of the statement below?

If there is lightning, then there is thunder.

a)

If there is not lightning, then there is not thunder.

b)

If there is thunder, then there is lightning.

c)

There is lightning if and only if (iff) there is thunder.

d)

There is no biconditional statement.

25.

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

a)

If an angle is acute, then it has a measure less than 90°.

b)

If an angle is not acute, then it does not have a measure less than 90°.

c)

If an angle is acute, then it is acute.

d)

If an angle does not measure less than 90°, then it is not acute.

26.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
27.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
28.
Which is the correct reason for statement 2 in the proof?
a)
Given
b)
Transitive Property
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
29.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
30.
Which symbol means "perpendicular"?
a)
b)
c)
d)
31.
If A = B, then 8A = 8B
a)
Multiplication POE
b)
Division POE
c)
Reflexive POE
d)
Addition POE
32.

Which property justifies the step in solving the equation?

x − 12 = 40 Given

x = 52 ?

a)

Addition Property of Equality

b)

Substitution Property of Equality

c)

Multiplication Property of Equality

d)

Distributive Property

33.

Which property justifies the given statement?

If m∠5 = m∠6, then m∠6 = m∠5.

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Transitive Property of Equality

d)

Distributive Property

34.

What angle pair is represented?

a)

Vertical

b)

Same Side Interior

c)

Corresponding

d)

Alternate Exterior

35.

What angle pair is represented?

a)

Alternate Exterior

b)

Same Side Exterior

c)

Vertical

d)

Corresponding

36.

What value of x will make m parallel to n?

(a)  

37.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

38.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
39.

Determine the coordinate point after reflecting (-5,3) over the y-axis.

a)

(3,-5)

b)

(-3,-5)

c)

(3,5)

d)

(-3,5)

e)

(-5,3)

40.

Angles 1 and 2 are what types of angles?

a)

Alternate exterior

b)

Congruent

c)

Adjacent Angles

d)

Supplementary

e)

Complementary

41.

If a//b, and m∠8=105° and m∠13=70°, find the missing angle measures

42.

Congruent means_______________________

a)

complementary

b)

supplementary

c)

equal

d)

unequal

43.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
44.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
45.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
46.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
47.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
48.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
49.

Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?

(a)  

50.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

(a)  

51.

What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!

(a)  

52.

Label the points on the plane AB \overleftarrow{A}\overrightarrow{B}\ \perp Plane S, ECy ED\overline{ECy}\ \cong\overline{ED} , and DB\overleftarrow{D}\overrightarrow{B} intersects Plane S at point D

53.

If M is the midpoint of AB\overline{AB} and AM = 6x-4 and MB = x+21, what is the value of x?

(a)  

54.

If BD\overrightarrow{BD} is a bisector of ABC\angle ABC and m∠DBC = 2(2x+9), m∠ABD = 9x-2. Find the m∠ABC.

(a)  

55.

∠3 and ∠5 have what kind of relationship

a)

Corresponding angles

b)

Alternate exterior angles

c)

Alternate interior angls

d)

Consecutive interior angles

56.

Write the rule to translate HYWN to H'Y'W'N'

(a)  

57.

Determine the coordinate point after reflecting (-5,3) over the x-axis.

a)
(3,-5)
b)

(-3,-5)

c)

(-5,3)

d)

(-5,-3)

e)

(3,5)

58.

Determine the coordinate point after reflecting (-5,3) over the y-axis.

a)
(3,-5)
b)

(-3,-5)

c)

(-3,5)

d)

(-5,-3)

e)

(3,5)

59.

Determine the coordinate point after reflecting (-5,3) over the line y=x

a)
(3,-5)
b)

(-3,-5)

c)

(-3,5)

d)

(-5,-3)

e)

(3,5)

60.

Determine the coordinate point after reflecting (-5,3) over the line y=-x

a)
(3,-5)
b)

(-3,-5)

c)

(-3,5)

d)

(-5,-3)

e)

(3,5)

61.

Determine the coordinate point after rotating (-5,3) 90° counterclockwise

a)
(3,-5)
b)

(-3,-5)

c)

(-3,5)

d)

(-5,-3)

e)

(3,5)

62.

Determine the coordinate point after rotating (-5,3) 270° counterclockwise

a)
(3,-5)
b)

(-3,-5)

c)

(-3,5)

d)

(-5,-3)

e)

(3,5)

63.

Determine the coordinate point after rotating (-5,3) 180° counterclockwise

a)
(3,-5)
b)

(-3,-5)

c)

(5,-3)

d)

(-5,-3)

e)

(3,5)