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Unit 4-5 Test Review

Total questions: 86

Worksheet time: 4hrs 25mins

Name
Class
Date
1.

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.

2.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

a)

If I have a Siberian Husky.

b)

Then I have a dog.

c)

I have a Siberian Husky.

d)

I have a dog.

3.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

a)

If angles are congruent.

b)

Then the measures of the angles are equal.

c)

Angles are congruent.

d)

The measures of the angles are equal.

4.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

a)

If the angles are congruent.

b)

Then the measures of the angles are equal.

c)

The angles are congruent.

d)

The measures of the angles are equal.

5.

What is the correct conditional statement for the following statement:

A square is a shape with four sides.

a)

A square is a shape with four sides.

b)

If a shape is a square, then the shape has four sides.

c)

If a shape has four sides, then the shape is a square.

d)

If a shape is not a square, then the shape has four sides.

6.
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.
7.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

8.
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.
9.
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.
10.
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
11.

If a number is a natural number, then it is a whole number.


If a number is a whole number, then it is a natural number.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Biconditional Statement

12.

If I study, then I will do well on my Geometry test.


If I did not do well on my Geometry test, then I did not study.

a)

Inverse

b)

Converse

c)

Contrapositive

d)

Biconditional Statement

13.

If I don't set my alarm clock, then I will be late for work.


If I set my alarm clock, then I will not be late for work.

a)

Inverse

b)

Converse

c)

Contrapositive

d)

Biconditional Statement

14.

If you purchase two bags of chips, then you will get one bag free.


If you did not get one bag for free, then you did not purchase two bags of chips.

a)

Inverse

b)

Converse

c)

Contrapositive

d)

Biconditional Statement

15.

If you live in Denver, then you live in Colorado.


If you live in Colorado, then you live in Denver.

a)

Inverse

b)

Converse

c)

Contrapositive

16.

If two angles form a linear pair, then they are adjacent.


If two angles do not form a linear pair, then they are not adjacent.

a)

Inverse

b)

Converse

c)

Contrapositive

17.

If a quadrilateral is a square, then it has four right angles.


Write the contrapositive.

a)

If a quadrilateral does not have four right angles, then it is not a square.

b)

If a quadrilateral is not a square, then it does not have four right angles.

c)

If a quadrilateral has four right angles, then it is a square.

18.

If it rains, then the field trip will be canceled.


Write the inverse.

a)

If the field trip is canceled, then it rains.

b)

If the field trip is not canceled, then it will not rain.

c)

If it does not rain, then the field trip will not be canceled.

19.
What phrase does a biconditional statement use?
a)
if, then
b)
if, when
c)
if and only if
d)
then, if
20.
What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."
a)
If an angle has 90 degrees, then it is a right angle.
b)
If an angle is a right angle, then it has 90 degrees.
c)
An angle is a right angle if and only if it has 90 degrees.
21.
When can a biconditional statement be true?
a)
When the inverse and the converse are both true
b)
When the original statement (conditional statement) & the contrapositive are both true.
c)
When the converse is true.
d)
When the original statement (conditional statement) and the converse are both true.
22.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
23.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
24.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
25.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
26.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
27.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSA
b)
AAS
c)
ASA
d)
Not necessarily congruent
28.

Are the triangles congruent?

a)

Yes, by AAS

b)

Yes, by AA

c)

Yes, by ASA

d)

Yes, by SAS

e)

Not enough information

29.

Are the triangles congruent?

a)

Yes, by SSA

b)

Yes, by HL

c)

Yes, by SSS

d)

Yes, by SAS

e)

Not enough information

30.

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.)

a)

4

b)

5

c)

3

d)

38

31.

If ∆MNO ≅ ∆PQR, which of the following can you NOT conclude as being true? [Hint: DRAW A PICTURE!!]

a)

MN = PR

b)

∠M ≅ ∠P

c)

NO = QR

d)

∠N ≅ ∠Q

32.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
33.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

34.
∆JIK ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
35.

All angles in similar figures are congruent.

a)

True

b)

False

36.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
37.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
38.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

linear pair

c)

corresponding angles

d)

vertical angles

39.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
40.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
41.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
42.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
43.

If lines are parallel with a transversal, then these two angles are?

a)

Opposite Side Angles

b)

Supplementary

c)

Same Side Interior

d)

Vertical Angles

44.

Given parallel lines with a transversal, what is true about angles 5 and 6?

a)

They are corresponding angles.

b)

They are congruent to the measurement of 68 degrees.

c)

They alternate interior angles.

d)

They are supplementary angles.

45.

Identify the figure in the picture.

a)

Parallel line

b)

Transversal line

c)

Exterior angle

d)

Interior Angle

46.

Find the value of x if the  m∠3 = −4x+5°m\angle3\ =\ -4x+5\degree and the  m∠5 = −13x+39°m\angle5\ =\ -13x+39\degree .

a)

-3.8

b)

3.8

c)

-8

d)

8

47.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
48.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
49.

If j∥kj\parallel k , find the value of x.

a)

112

b)

68

c)

22

d)

12

50.

Find the missing angle

a)

108°

b)

92°

c)

88°

d)

29°

51.

What is the value of x?

a)

45°

b)

54°

c)

126°

d)

135°

52.

Find the missing angle measure.

a)

41 degrees

b)

49 degrees

c)

82 degrees

d)

131 degrees

53.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
54.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
55.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
56.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
57.
Which equation is parallel to:
y = 5/7x +2
a)
y = -7/5x +1
b)
y = 7/5x +4
c)
y = -5/7x -3
d)
y = 5/7x +5
58.
Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12
a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
59.

 If 80 = m∠A, then m∠A = 80

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Distributive Property

60.

what is the transitive property?

a)

for every number a, a=a

b)

for all numbers a and b, if a=b then b=a

c)

for all numbers a,b, and c, if a=b and b=c then a=c

d)

for all numbers a,b and c, a(b+c)= ab+ac

61.

If x=y, y=z, and x=z which letter is in the middle of the segment?

a)

X

b)

Z

c)

Y

62.

what is this statement, if B is between A and C the AB+BC=AC

a)

Given

b)

addition

c)

subtraction property 

d)

segment addition postulate

63.

What is step 2?

a)

Distributive Property

b)

Multiplication property of equality

c)

Division property of equality

d)

Substitution property

64.

What is step 6?

a)

Subtraction property of equality

b)

Division property of equality

c)

Addition property of equality

d)

Given

65.

What is step 2?

a)

Given

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

e)

Addition Property of Equality

66.

What is the theorem to prove these triangles are congruent?

a)

AAS

b)

SAS

c)

SSS

d)

ASA

67.

Give me one proof that these triangles are congruent

a)

AB ≅ LM

b)

AC ≅ LK

c)

AB ≅ CD

d)

BC ≅ KM

68.

Give me another proof these triangles are congruent

a)

AC ≅ LK

b)

CD ≅ EF

c)

BC ≅ KM

d)

BC ≅ LM

69.

What should be the statement for step 6?

a)

14=7x

b)

21x

c)

14=x

d)

2=x

70.

What should be the reason for step 4?

a)

Reflexive Property of Equality

b)

Subtraction PoE

c)

Division PoE

d)

Substitution PoE

71.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

72.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

73.

The last statement is <4 = <6. What is the last reason

a)

Prove

b)

Definition of congruent angles

c)

Transitive Property

d)

Alternate Interior Angles Theorem

74.
Fill in the reason for number 5. 
a)
Definition of congruent angles
b)
Angle Addition Postulate
c)
Substitution Property
d)
Transitive Property
75.
Which is the correct reason for statements 2 and 4 in the proof?
a)
Corresponding Angles
b)
Substitution
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
76.

Which proof is incorrect?

a)
b)
c)
d)
77.
A die is rolled once.  What is the probability of rolling a 5? Your answer should be a fraction in simplest form.
a)
1/6
b)
1/3
c)
2/5
d)
5/6
78.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
79.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
80.

A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?

a)

independent

b)

dependent

81.

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

a)

dependent

b)

independent

82.

A bag contains 2 striped cubes, 5 dotted cubes, 5 white cubes and 3 red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn?

a)

independent

b)

dependent

83.

A pocket contains 3 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime, replacing it, and then drawing a penny?

a)

independent

b)

dependent

84.

A pocket contains 3 pennies, 2 nickels, 3 quarters and 4 dimes. What is the probability of randomly choosing a quarter two times in a row if the first coin drawn is not replaced?

a)

dependent

b)

independent

85.

Clinton has a bag of Skittles™. Inside the bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles™. What is the probability of drawing a green Skittle™, replacing it, and then drawing another green Skittle™?

a)

independent

b)

dependent

86.

Jaylan has a fun-size bag of SweetTarts™. Inside the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts™. What is the probability of drawing a yellow SweetTart™ three times in a row if each SweetTart™ selected is eaten before the next SweetTart™ is drawn?

a)

dependent

b)

independent

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