Quiz about Envision Geometry

Question 1

Solve for x

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 2

Bisector

Accepted Answer

A point, line or line segment that divides a segment or angle into two equal parts

Answer

A part of a line between two points on the line

Answer

A figure before a transformation has taken place

Question 3

Ray EF bisects

Accepted Answer

m<TEF = 87

Answer

m<TEA = 87

Answer

m<FEA = 43.5

Answer

m<TEF = m<FEA

Question 4

Find the distance between (2, -75) and (10, 235).

Accepted Answer

310.1

Answer

305.5

Answer

308.6

Answer

315.3

Question 5

What is the midpoint between (3, -1) and (7, -5)

Accepted Answer

(5, -3)

Answer

(5, -2)

Answer

(10, -6)

Answer

(2, -2)

Question 6

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)

Accepted Answer

(-9, 10)

Answer

(1.5, -1)

Answer

(4.5, -0.5)

Answer

(8.5, 4.5)

Question 7

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

Accepted Answer

(7,2)

Answer

(1,5)

Answer

(2,10)

Answer

(1,2)

Question 8

What is the if-then statement that follows by the Law of Syllogism?
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft².

Accepted Answer

If the perimeter of a square is 20 ft, then the area is 25 ft²

Answer

If the side of a square is 5 ft, then the perimeter is 20 ft.

Answer

If the area of a square is 25 ft², then the side length is 5 ft.

Answer

If the are of a square is 25 ft², then the perimeter is 20 ft.

Question 9

What are the next 2 numbers of this pattern?
23, 27, 31, 35, ___, ___

Accepted Answer

39, 43

Answer

37, 39

Answer

40, 45

Answer

38, 41

Question 10

What is the rule for this pattern?
32,36,40,44

Accepted Answer

add 4

Answer

multiply 2

Answer

subtract 4

Answer

divide by 2

Question 11

What comes next?

Accepted Answer

The next term will have 15 blocks.

Answer

The next term will have 16 blocks

Answer

The next term will have 14 blocks.

Answer

This is the end of the pattern.

Question 12

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

Accepted Answer

I have a Siberian Husky.

Answer

If I have a Siberian Husky.

Answer

Then I have a dog.

Answer

HI have a dog.

Question 13

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

Accepted Answer

The measures of the angles are equal.

Answer

If the angles are congruent.

Answer

The angles are congruent.

Answer

Then the measures of the angles are equal.

Question 14

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

Accepted Answer

If the measures of the angles are equal, then the angles are congruent.

Answer

"If angles are not congruent, then the measures of the angles are not equal."

Answer

If the measures of the angles are not equal, then the angles are not congruent.

Answer

If the angles are not congruent, then the measure of the angles are equal.

Question 15

Is this statement true?

Accepted Answer

False.  There are empty chairs here.

Answer

True.  Class can't happen if a chair isn't occupied.

Answer

True.

Answer

True.  There are no chairs here, so the hypothesis is true.

Question 16

When taking the converse we ___________ the hypothesis and conculsion

Accepted Answer

switch

Answer

negate

Answer

highlight

Answer

switch and negate

Question 17

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

Accepted Answer

If you miss the bus, then you will be late to school

Answer

If you are late to school, then you will miss the bus.

Answer

If you sleep late, then you don't have to go to school.

Answer

If you miss the bus, then you'll have to walk and be late.

Question 18

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

Accepted Answer

If the measures of the angles are not equal, then the angles are not congruent.

Answer

If the measures of the angles are equal, then the angles are congruent.

Answer

If angles are not congruent, then the measures of the angles are not equal.

Answer

If the angles are not congruent, then the measure of the angles are equal.

Question 19

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.

Accepted Answer

Inverse

Answer

Converse

Answer

Contrapositive

Answer

Negation

Question 20

Which of the following is the inverse to the statement:

"If you exercise, then you will lose weight."

Accepted Answer

If you don't lose weight, then you don't exercise

Answer

.If you don't exercise, then you will not lose weight.

Answer

If you lose weight, then you exercise.

Answer

If you don't lose weight, then you did not diet.

Question 21

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Accepted Answer

Valid

Answer

Invalid

Answer

Sammy is a Great Dane

Answer

Sammy is really a cat.

Question 22

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Accepted Answer

Then its square is divisible by 4

Answer

Then it's not odd.

Answer

Then it's a whole number.

Answer

Then it's even.

Question 23

Draw a conclusion from the statement.

If you are at least 25 year old, then you can rent a car.

You can rent a car

Accepted Answer

Invalid

Answer

You are at least 25 years old

Answer

You are 45 years old

Answer

You can go on a road trip

Question 24

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

Accepted Answer

Invalid

Answer

Jack skipped school.

Answer

It isn't Monday.

Answer

It's Saturday.

Question 25

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

Accepted Answer

If you exercise regularly, then you have more energy

Answer

You have more energy

Answer

You have a healthy body

Answer

If you do not have a healthy body, then you do not exercise regularly

Question 26

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam

Accepted Answer

not possible

Answer

I study for 1 hour each day.

Answer

I do not study for 1 hour each day

Answer

If I do well on the exam, I studied for 1 hour each day.

Question 27

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

Accepted Answer

the big test will not be given today.

Answer

look out for the snowplows while driving to school.

Answer

the roads will be hard to drive on.

Answer

you should call the school to see if school is canceled.

Question 28

If <M = <L then <L = <M

Accepted Answer

Symmetric POE

Answer

Transitive POE

Answer

Substitution POE

Answer

Reflexive POE

Question 29

AB = AB

Accepted Answer

Reflexive POE

Answer

Transitive POE

Answer

Symmetric POE

Answer

Distributive POE

Question 30

If X = Y, then X + 5 = Y + 5

Accepted Answer

Addition POE

Answer

Subtraction POE

Answer

Reflexive POE

Answer

Transitive POE

Question 31

If l = a and a = k and k = e then l = e

Accepted Answer

Transitive POE

Answer

Addition POE

Answer

Symmetric POE

Answer

Reflexive POE

Question 32

If M is the midpoint of AB, then AM = MB

Accepted Answer

Def. of Midpoint

Answer

Addition POE

Answer

Reflexive POE

Answer

Symmetric

Question 33

If A = B, then 8A = 8B

Accepted Answer

Multiplication POE

Answer

Division POE

Answer

Reflexive POE

Answer

Addition POE

Question 34

If <1 and <2 are complementary, then m<1 + m<2 = 90

Accepted Answer

Def of Complementary Angles

Answer

Addition POE

Answer

Subtraction POE

Answer

Def of right angle

Question 35

What is always the 1st statement in reason column of a proof?

Accepted Answer

Given

Answer

Prove

Answer

Reason

Answer

Statement

Question 36

If X is between R & T on a line,
then RX + XT = RT

Accepted Answer

Segment Addition Post.

Answer

Addition POE

Answer

Substitution POE

Answer

Angle Addition Post.

Question 37

If A and B are vertical angles, what can we conclude about A and B?

Accepted Answer

they are congruent angles

Answer

they are complementary angles

Answer

they are supplementary angles

Answer

they are adjacent angles

Question 38

What is the reason?

Accepted Answer

Definition of Congruent

Answer

Symmetric

Answer

Transitive

Answer

Definition of Corresponding

Question 39

If 5(x - 2) = 20,
then 5x - 10 = 20.

Accepted Answer

Distributive Property of Equality

Answer

Division Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

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