B. Formulate the inverse, converse and contrapositive of the following if-then statement.

1. If the sum of two angles is 90°, then they are complementary.
Converse:
Inverse:
Contrapositive:

2. If you are a Filipino, then you are God-fearing.
Converse:
Inverse:
Contrapositive:

3. If a shape is a quadrilateral, then it has four sides.
Converse:
Inverse:
Contrapositive:

4. If two angles form a linear pair, then their sum is 180°.
Converse:
Inverse:
Contrapositive:

5. If a polygon is a rectangle, then it has four right angles.
Converse:
Inverse:
Contrapositive:

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Wilmartmora048go Wilmartmora048go · Answer 1

1.)

Converse: If the sum of two are complementary,then their angles is 90°.

Inverse: If the sum of two angles is not 90°,then they are not complementary.

Contrapositive: If the sum of two are not complementary,then their angles is not 90°.

2.)

Converse: If you are God-fearing,then you are a Filipino.

Inverse: If you are not a Filipino,then you are not God-fearing.

Contrapositive: If you are not God-fearing,then you are not a Filipino.

3.)

Converse: If a shape has four sides,then it is a quadrilateral.

Inverse: If a shape is not a quadrilateral, then it does not have four sides.

Contrapositive: If a shape does not have four sides,then it is not a quadrilateral

5.)

Converse: If a polygon has four right angles,then it is a rectangle.

Inverse: If a polygon is not a rectangle, then it does not have four right angles.

Contrapositive: If a polygon does not have four right angles,then it is not a rectangle