Rewrite the following sentences in if-then form and write it's converse, inverse and contrapositive
1.)Opposite sides of a rectangle are parallel.
If then:
Converse:
Inverse:
Contrapositive:
2.)A number that ends in 0 is divisible by 10.
if then:
converse:
inverse:
contrapositive:
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Answers & Comments
Answer:
1. Opposite sides of a rectangle are parallel.
- If a shape is a rectangle, then its opposite sides are parallel.
- Converse: If opposite sides of a shape are parallel, then it is a rectangle.
- Inverse: If a shape is not a rectangle, then its opposite sides are not parallel.
- Contrapositive: If opposite sides of a shape are not parallel, then it is not a rectangle.
2. A number that ends in 0 is divisible by 10.
- If a number ends in 0, then it is divisible by 10.
- Converse: If a number is divisible by 10, then it ends in 0.
- Inverse: If a number is not divisible by 10, then it does not end in 0.
- Contrapositive: If a number does not end in 0, then it is not divisible by 10.