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Conditional and Converse Statements

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

If there is an angle, then it is acute. What is an appropriate counterexample?

a)

70⁰

b)

45⁰

c)

120⁰

d)

True. There is no counterexample.

2.

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

a)

goldfish

b)

frog

c)

cat

d)

True. There is not counterexample.

3.

If you square a number, then the answer is positive. What would be an appropriate counterexample?

a)

(2)2\left(-2\right)^2

b)

(2)2\left(2\right)^2

c)

(50)2\left(-50\right)^2

d)

True. There is no counterexample

4.

What type of statement is this?

a)

Conditional

b)

Converse

c)

Inductive Reasoning

d)

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

5.

What type of statement is this?

a)

Conditional

b)

Converse

c)

Inductive Reasoning

d)

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

6.

When taking the converse we ___________ the hypothesis and conclusion.

a)

don't change

b)

switch

c)

highlight

d)

delete

7.

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 do not have a dog, then I do not have a Siberian Husky.

c)

If I have a dog, then I have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

8.

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

c)

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

d)

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

9.

What is the converse to this statement:

"If it is dark outside, than it is night"

a)

If it isn't dark outside, then it is not night.

b)

If it is not night, then it is not dark outside.

c)

If it is night, then it is dark outside

d)

It is night.

10.

If the following statement is a converse statement, then what would be the original conditional statement?

If the food is cooking, then the food is in the oven.

a)

If the food is in the oven, then the food is cooking.

b)

If the food is cooking, then the food is in the oven.

c)

If the food is not in the oven, then the food is cooking.

d)

If the food is not in the oven, then the food is not cooking.