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Topic 1 Test Review

Total questions: 35

Worksheet time: 9hrs 45mins

Name
Class
Date
1.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

2.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

3.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

4.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
5.

 BD→\overrightarrow{BD}  bisects ∠ABC\angle ABC ,  m∠ABD=3x+5m\angle ABD=3x+5  and  m∠DBC=6x−10m\angle DBC=6x-10 . Find  m∠DBCm\angle DBC  . 

a)

 15°15\degree  

b)

 35°35\degree  

c)

 5°5\degree  

d)

 20°20\degree  

6.
Find the distance between (-9, -1) and (-2, -6).Round to the nearest tenth.
a)
8.6
b)
12.1
c)
9.9
d)
13.0
7.
What is the midpoint between (-4, 4) and (-2, 2)
a)
(-6, 6)
b)
(-3, 3)
c)
(1, 3.5)
d)
(-6, 3)
8.
a)
(1, 1)
b)
(7, -6)
c)
(-6, 7)
d)
(3, 2)
9.

If point S is the midpoint of segment RT, what conclusion can you make?

a)
b)
c)
d)

It is not possible to make a conclusion from the given information.

10.

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.


The coordinates of the point P are:

a)

(1,5)

b)

(0,4)

c)

(3, 1)

d)

(-1, 1)

11.

Find the point that is 2/5 of the distance from C to D.

a)

(-1, 2)

b)

(0, 0)

c)

(1,-2)

d)

(-2,4)

12.
Obtuse angles are greater than 90 degrees.  This angle is 110 degrees, so it is obtuse. 
a)
Deductive
b)
Inductive
13.
IF All even numbers are divisible by 2
AND 28 is even
THEN 28 is divisible by 2
a)
Inductive
b)
Deductive
14.
IF 3...6...9...12...
AND 24...27...30...?
THEN the next term is going to be 33
a)
Inductive
b)
Deductive
15.
What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.
a)
If Tom goes fishing then he catches a fish.
b)
If Tom brings his pole then he goes fishing
c)
 If Tom catches a fish then he brought his pole.
d)
If Tom brings his pole then he catches a fish.
16.
How many cubes would be in the 10th figure?
a)
18
b)
16
c)
17
d)
41
17.
All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 
a)
Deductive
b)
Inductive
18.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

a)

If the sun is not shining, we will not go hiking.

b)

If the sun is shining then we will go hiking.

c)

No conclusion can be made.

d)

If we go hiking, then it is a beautiful day.

19.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

20.
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, therefore
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.
21.
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.
22.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
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.
23.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
24.
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.
25.

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.

26.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
27.
What is step 6
a)
Subtraction property of equality
b)
Addition property of equality
c)
Division property of equality
28.
What is reason 5?
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Prove
29.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

30.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

31.

What is the justification?

a)

Congruent Supplements Theorem

b)

Vertical Angles Theorem

c)

Definition of Supplementary Angles

d)

Definition of Complementary Angles

32.

What is the justification?

a)

Transitive Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property of Equality

33.

What is the justification?

a)

Congruent Complements Theorem

b)

Angle Bisector Theorem

c)

Angle Addition Postulate

d)

Division Property of Equality

34.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
35.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.

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