Question

Given the information below, match the following items.

Given statement: If two angles add to 90°, then they are complementary.

1. converse
If two angles are complementary, then they add to 90°.
2. inverse
If two angles do not add to 90°, then they are not complementary.
3. contrapositive
If two angles are not complementary, then they do not add to 90°.

Answer 1

1. Converse- If two angles are complementary, then they add to . This is the true statement.

2. Inverse- If two angles do not add to , then they are not complementary.This is the true statement.

3. Contrapositive- If two angles are not complementary, then they do not add to .This is the true statement.

Explanation:

Answer 2

Given Statement:

If two angles add to
`90^\circ`, then they are complementary.

1. Converse:

If two angles are complementary, then they add to
`90^\circ`. This is the true statement.

2. Inverse

If two angles do not add to
`90^\circ`, then they are not complementary.This is the true statement.

3. Contrapositive

If two angles are not complementary, then they do not add to
`90^\circ`.This is the true statement.