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Review Semester 1

Total questions: 63

Worksheet time: 2hrs 9mins

Name
Class
Date
1.
Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)
a)
y = x - 4
b)
y = x + 4
c)
y = 1/2x -4
d)
y = x + 2
2.
Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)
a)
y = 2x + 4
b)
y = 2x + 6
c)
y = -2x + 6
d)
y = 2x - 6
3.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
4.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm
a)
more than 3 but less than 11
b)
more than 11 but less than 3
c)
less than 3 but more than 11
5.
What missing piece of information is needed to prove the triangles congruent using ASA?
a)
GC = CD
b)
CE = CD
c)
∠GCE≅∠BCE
d)
BD = GE
6.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
NM = AM
b)
NL = CA
c)
∠M≅∠B
d)
∠N≅∠C
7.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
∠F≅∠Q
b)
∠G≅∠R
c)
∠H≅∠S
d)
FH = QS
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
SSS
d)
Not Possible
10.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
11.

What does deductive reasoning use to form its arguments?

a)

patterns

b)

specific cases

c)

observed examples

d)

facts, definitions, accepted properties, and laws of logic

12.
Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
a)
Look out for the snowplows while driving to school.
b)
The big test will not be given today.
c)
The roads will be hard to drive on.
d)
You should call the school to see if school is canceled.
13.
p→q
q→r
∴p→r
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
14.
Use Law of Syllogism to make a conclusion.
 If a number is divisible by 10, then it is divisible by 2.  If a number is divisible by 2, then it is even.
a)
If a number is divisible by 10, then it is even,
b)
If a number is even, then it is divisible by 10.
c)
If a number is divisible by 2, then it is even.
d)
If a number is even, then it is divisible by 2.
15.
It is dangerous to drive on icy streets.  The streets are icy now so it is dangerous to drive now. 
a)
Deductive
b)
Inductive
16.
Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded. 
a)
Deductive
b)
Inductive 
17.
Obtuse angles are greater than 90 degrees.  This angle is 110 degrees, so it is obtuse. 
a)
Deductive
b)
Inductive
18.

Angles a & o, a & b, a & m in that order

a)

Supplemental, Vertical, Alternate Interior

b)

Vertical, Corresponding, Alternate Exterior

c)

Alternate Exterior, Same Side Interior, Corresponding

d)

Vertical, Supplemental, Alternate Exterior

19.

What kind of relationship is between 1 & 12?

a)

Alternate Interior

b)

Vertical

c)

Alternate Exterior

d)

Corresponding

20.

If a & b are parallel and c & d are parallel and angle 2 is 65 degrees, what is angle 15?

a)

105

b)

15

c)

65

d)

115

21.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

22.

Solve for x

a)

48

b)

85

c)

24

d)

9

23.
Find the measure of the indicated angle. 
a)
38 degrees
b)
43 degrees
c)
22 degrees
d)
76 degrees
24.
Find the measure of the indicated angle. 
a)
35 degrees
b)
40 degrees
c)
25 degrees
d)
30 degrees
25.
Find the measure of angle A.
a)
21 degrees
b)
31 degrees
c)
128 degrees
d)
24 degrees
26.
What is the value of y?
a)
7
b)
4
c)
6
d)
14
27.

What is the length of side JK?

a)

12

b)

30

c)

33

d)

3

28.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

29.

Lines L and M are parallel. Find x. Enter a number only.

(a)  

30.

Lines L and M are parallel. Find x. Enter a number only.

(a)  

31.

Lines L and M are parallel. Find x. Enter a number only.

(a)  

32.

Given that P(-4, -2), Q(-2, 2) and R(5, 1) are vertices of a triangle, calculate the perimeter and classify the triangle.

a)

21.1, Isosceles

b)

21.1, Scalene

c)

24.3, Scalene

d)

24.3, Equilateral

33.

If a triangle with vertices of (-3,0), (0,3), (3,0), classify it by its sides.

a)

Isosceles

b)

Scalene

c)

Equilateral

d)

Obtuse

34.

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

a)

11

b)

12

c)

8

35.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

36.

a)

WX

b)

XY

c)

YW

d)

None

37.

a)

VW

b)

WU

c)

UV

d)

None

38.

a)

RQ

b)

QS

c)

SR

d)

None

39.
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.
40.
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. 
41.

It means that the two statements have the same truth values for every possible interpretation.

a)

Logically Equal Statements

b)

Logically Equivalent Statements

c)

Logical Equal Statements

d)

Logical Equivalent Statements

42.

Which statement is logically equivalent to the conditional statement?

a)

converse

b)

inverse

c)

contrapositive

d)

reverse

43.

Which two statements should both be true to have a biconditional statement?

a)

conditional and converse

b)

conditional and inverse

c)

conditional and contrapositive

d)

converse and inverse

44.
Find x
a)
90
b)
45
c)
22
d)
35
45.
Find the value of the base angle. 
a)
30
b)
120
c)
60
d)
180
46.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
47.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
48.

Level 3

Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)

a)

y = 2/3x - 3

b)

y = 2/3x - 11/3

c)

y = 2/3x - 4

d)

y = 2/3x - 5/3

49.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

50.
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.
51.
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.
52.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

53.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

54.

For any rhombus JKLM, decide whether the statement is true Always, Sometimes, or Never. 
JL‾≅KM‾\overline{JL}\cong\overline{KM}  

a)

Always

b)

Sometimes

c)

Never

55.

For any rectangle wxyz, decide whether the statement is true Always, Sometimes, or Never. 
wy‾≅xz‾\overline{wy}\cong\overline{xz}  

a)

Always

b)

Sometimes

c)

Never

56.

For any rectangle wxyz, decide whether the statement is true Always, Sometimes, or Never. 
wy ‾⊥ xz‾\overline{wy\ }\perp\overline{\ xz}  

a)

Always

b)

Sometimes

c)

Never

57.

Select each quadrilateral for which the statement is true.


Diagonals are perpendicular

a)

trapezoid

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Square

58.

Select each quadrilateral for which the statement is true.


Diagonals bisect each other

a)

trapezoid

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Square

59.
What is the sum of the exterior angles?
a)
90 degrees
b)
180 degrees
c)
540 degrees
d)
360 degrees
60.
Given a regular polygon. Determine is the value of x ?
a)
x =72 degrees
b)
x = 45 degrees
c)
x = 360 degrees
d)
x = 540 degrees
61.
Given a regular polygon. Determine the value of x.
a)
40 degrees
b)
180 degrees
c)
60 degrees
d)
390 degrees
62.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
63.
Given:  AG = 10, find the length of BG.
a)
10
b)
20
c)
5
d)
30

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