91Ó°ÊÓ

Write (a) the contrapositive and (b) the inverse of each statement. If those are red and white, then this is blue.

The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than_____, but less than_____ . $$7 n, 10 n$$

The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than_____, but less than_____ . $$a, b(\text { where } a>b)$$

The lengths of two sides of a triangle are given. Write the numbers that best complete the statement: The length of the third side must be greater than_____, but less than_____ . $$k, k+5$$

Write an indirect proof in paragraph form. Given: People wearing coats are shivering as they come to the door. Prove: It's cold outside.

Reword the given statement in if-then form and illustrate it with a Venn diagram. What can you conclude by using the given statement together with each additional statement? If no conclusion is possible, say so. Given: All senators are at least 30 years old. a. Jose Awila is 48 years old. b. Rebecca Castelloe is a senator. C. Constance Brown is not a senator. d. Ling Chen is 29 years old.

What can you conclude by using the given statement together with each additional statement? If no conclusion is possible, say so. Given: If it is not raining, then I am happy. a. I am not happy. b. It is not raining. c. I am overjoyed. d. It is raining.

Prove that there is no regular polygon with an interior angle whose measure is 155

Prove that the diagonals of a trapezoid do not bisect each other.

Prove that the sum of the lengths of the medians of a triangle is greater than half the perimeter.