Free Printable Test 2

Worksheets

Test 2

Total questions: 30

Worksheet time: 35mins

Name

Class

Date

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

$40\degree\ and\ \ 140\degree$

$80\degree\ and\ \ 80\degree$

$30\degree\ and\ \ 150\degree$

$90\degree\ and\ \ 90\degree$

A counterexample is an example that proves a conjecture to be...____________

True

False

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.

Law of Detachment

Law of Syllogism

Law of Contrapositive

None

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

∠A is complementary to ∠B

∠A is acute.

∠A is obtuse.

∠A is 40⁰

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

You are at least 25 years old

You can rent a car

You can go on a road trip

Invalid

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

You have more energy

If you exercise regularly, then you have more energy

You have a healthy body

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

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...

Look out for the snowplows while driving to school.

The big test will not be given today.

The roads will be hard to drive on.

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

Solve for x

x = 77

x = 7.5

x = 8

x = 18

Find the value of ∠A.

39 degrees

49 degrees

51 degrees

59 degrees

10.

Solve

50°

58°

115°

226°

11.

Use the figure to write and solve an equation for x.

12.

Find the value of x.

13.

What is an example of a pair of complementary angles?

13° and 45°

10° and 170°

81° and 9°

90° and 3°

14.

Vertical angles are always

acute

total 180 degrees

congruent (equal measures)

adjacent angles

15.

Find the missing angle. Find x.

20^o

70^o

160^o

180^o

16.

Find the value of x if AB = 4x + 3 and BC = 21

10.5

4.5

17.

If $\overrightarrow{KM}$ bisects $\angle LKJ$ and $m\angle JKM=22\degree$ find $m\angle LKM$ .

not enough information given

18.

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

32, 62

42, 63

43, 63

42, 62

19.

Find the next term in the sequence:
A, D, G, J, _____

20.

Where would the next red square be?

bottom left

top right

top left

bottom right

21.

What are the two parts of a conditional statement? (Check all answers that apply)

Hypothesis

Conclusion

Converse

Inverse

22.

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

23.

Write the contrapositive of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

24.

Write the inverse of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

25.

What does this mean?

Conditional Statement

Inverse Statement

Converse Statement

Contrapositive Statement

26.

What is this mean?

Conditional Statement

Converse

Inverse

Contrapositive

27.

What is this?

Conditional Statement

Inverse

Converse

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

28.

What is the hypothesis of the given Conditional Statement?

Jimmy will go to Orlando

Jimmy goes on vacation

Jimmy will go to Orlando

Who is Jimmy?

29.

What is the conclusion to this?

Clarkson will be the coolest

Clarkson will not be the coolest

Clarkson gives us Mountain Dew

Clarkson will not give us Mountain Dew

30.

What is the contrapositive to this?

If the food is not cooked, then it is not in the oven.

If the food is not in the oven, then it is not cooked.

If the food is cooked, then its in the oven.

If food is not in the oven, then its cooked.

100 %

Test 2

Total questions: 30

Worksheet time: 35mins

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