Mr. Wimmer - Conditional Statements

What is the "if-then" form of this statement:

"All spiders have eight legs."

• If an animal is a spider then it has eight legs.

• If an animal has eight legs, then it is a spider.

• Any spider has eight legs.

• If it does not have eight legs, then it is not a spider.

What is the conclusion for this conditional statement?

"If a quadrilateral has both pairs of opposite sides parallel, then it is a parallelogram."

Which is the contrapositive for the following statement:

"If the sum of two angle measures is 90 degrees, then the angles are complementary."

• If the sum of two angle measures is not 90 degrees, then the two angles are not complementary.

• If two angles are not complementary, then the sum of their angle measures is not 90 degrees.

• If two angles are complementary, then the sum of their angle measures is 90 degrees.

• Two angles are complementary if and only if the sum of their angle measures is 90 degrees.

Select the inverse of this statement:

"If 7x + 9 = 51, then x = 6."

• If x ≠ 6, then 7x + 9 ≠ 51
• If x = 6, then 7x + 9 = 51
• If 7x + 9 ≠ 51, then x ≠ 6

• x = 6 if and only if 7x + 9 = 51

Given this conditional statement:

"An equilateral triangle has 3 congruent sides."

Write the If-then form of the conditional statement.