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Which statement is the contrapositive of the conditional statement:

If point B bisects line segment AC into two congruent segments, then point B is the midpoint.


If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

Respuesta :

Answer:

The statement contrapositive to the given statement is,

If point B is not the midpoint, then point B does not bisect the line segment AC into two congruent segments.

Step-by-step explanation:

The given statement is,

If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

The statement contrapositive to the given statement is,

If point B is not the midpoint, then point B does not bisect the line segment AC into two congruent segments.

Note :-

If a statement is such that,

A ⇒ B

then A ⊆ B

and it's contrapositive statement is,

[tex]B^{c}[/tex] ⇒ [tex]A^{c}[/tex]

implying that,

[tex]B^{c}[/tex] ⊆ [tex]A^{c}[/tex]

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