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Give at least FIVE example of


statements, conditional, converse,inverse and contrapositive

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Sagot :

Give at least FIVE example of  statements, conditional, converse,inverse and contrapositive .

Example 1 -----

Standard:

If two angles are congruent, then they have the same measure.

Converse:

If two angles have the same measure, then they are congruent.

Inverse:

If two angles are not congruent, then they do not have the same measure.

Contrapositive:

If two angles do not have the same measure, then they are not congruent.

Example 2 -----

Standard:

If a quadrilateral is a rectangle, then it has two pairs of parallel sides.

Converse:

If a quadrilateral has two pairs of parallel sides, then it is a rectangle. (FALSE!)

Inverse:

If a quadrilateral is not a rectangle, then it does not have two pairs of parallel sides. (FALSE!)

Contrapositive:

If a quadrilateral does not have two pairs of parallel sides, then it is not a rectangle.

Example 3 -----

Standard:

All four-sided plane figures are rectangles

Converse:

If figures are rectangles, then figures are all four-sided planes

Inverse:

If figures are NOT all four-sided planes, then they are NOT rectangles

Contrapositive:

If figures are NOT rectangles, then figures are NOT all four-sided planes

Example 4 -----

Standard:

A square is a rectangle.

Converse:

If the figure is a rectangle, then it is a square

Inverse:

If the figure is NOT a square, then it is NOT a rectangle.

Contrapositive:

If the figure is NOT a rectangle, then the figure is NOT a square

Example 5 -----

Standard:

Two angles with equal measure are congruent.

Converse:

If two angles are congruent, then the two angles have the same measure.

Inverse:

If two angles do NOT have the same measure, then they are NOT congruent.

Contrapositive:

If the two angles are NOT congruent, then the two angles do NOT have the same measure

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Answer:

1. ``The square root of 4 is 5"

2. “If today is Wednesday, then yesterday was Tuesday.”

3. "If it is raining then the grass is wet" is "If the grass is wet then it is raining."

4. f − 1 f^{-1} f−1f

5. "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."