# Conditional Statements (Grade 10)

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## Conditional Statements

1.

Given the statement: "If you travel from the United States to Kenya, then you have a passport."

Write the converse:

Write the inverse:

Write the contrapositive:

Write the converse:

Write the inverse:

Write the contrapositive:

2.

Given the statement: "If a point is in the first quadrant, then its coordinates are positive."

Write the converse:

Write the inverse:

Write the contrapositive:

Write the converse:

Write the inverse:

Write the contrapositive:

3.

What is the negation of, "Jenny rides the bus"?

- Jenny does not like to ride the bus.
- Jenny does not ride the bus.
- Jenny likes to ride the bus.
- None of the above

4.

Given the statement: "If a conditional statement is false, then its contrapositive is false," is the following statement its converse, inverse, or contrapositive?

"If the contrapositive of a conditional statement is true, then the conditional statement is true."

"If the contrapositive of a conditional statement is true, then the conditional statement is true."

- converse
- inverse
- contrapositive

5.

Given the statement: "If a triangle is a right triangle, then it has a 90-degree angle," is the following its converse, inverse, or contrapositive?

"If a triangle is not a right triangle, then it does not have a 90-degree angle."

"If a triangle is not a right triangle, then it does not have a 90-degree angle."

- converse
- inverse
- contrapositive

6.

Given the statement: "If you eat all your vegetables, then you will grow," which of the following choices is its converse?

- If you grow, then you will eat all of your vegetables.
- If you do not eat all of your vegetables, then you will not grow.
- If you do not grow, then you will not eat all of your vegetables.

7.

Given the statement: "If you eat all your vegetables, then you will grow," which of the following choices is its inverse?

- If you grow, then you will eat all of your vegetables.
- If you do not grow, then you will not eat all of your vegetables.
- If you do not eat all of your vegetables, then you will not grow.

8.

Give the contrapositive to the following statement: If I read a lot of books, I will get smarter.

- If I get smarter, I read a lot of books.
- If I read a lot of books, I won't get smarter.
- If I don't get smarter, then I don't read a lot of books.
- If I don't read a lot of books, I will get smarter.

9.

Which of the following is the biconditional statement for the conditional statement below?

If today is Saturday or Sunday, then it is the weekend.

If today is Saturday or Sunday, then it is the weekend.

- It is the weekend if and only if it is Saturday or Sunday.
- If is not the weekend, then it not Saturday or Sunday.
- If it is not Saturday or Sunday, then it is not the weekend.
- It is not Saturday or Sunday if and only if it is the weekend.

10.

Is the converse of this statement true? If not, select the specific counter example. "If an angle is 117 degrees, then it is obtuse."

- True
- Not true - 90 degrees
- Not true - 116 degrees
- Not true - 75 degrees

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