Consider the following conditional statement:

If two angles form a linear pair, then they are supplementary.

Identify the following statements as the converse, inverse, or contrapositive and determine whether each statement is true or false:

a. If two angles are not supplementary, then they do not form a linear pair.

b. If two angles are supplementary, then they form a linear pair.

c. If two angles do not form a linear pair, then they are supplementary.

Question

Madeline Woods

Mathematics

21 January, 23:05

Consider the following conditional statement:

If two angles form a linear pair, then they are supplementary.

Identify the following statements as the converse, inverse, or contrapositive and determine whether each statement is true or false:

a. If two angles are not supplementary, then they do not form a linear pair.

b. If two angles are supplementary, then they form a linear pair.

c. If two angles do not form a linear pair, then they are supplementary.

+3

Answers (1)

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Johnson · Answer 1

a. contrapositive because it's the converse and inverse. True.

b. converse because it's the reverse of conditional statement. True.

c. That is false so it's not converse, inverse, or contrapositive.