Question

what is a midsegment?
choose the correct answer below.
a. a midsegment is a perpendicular segment from a vertex of a triangle to the line containing the opposite side.
b. a midsegment is a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
c. a midsegment is a point that bisects a segment into two congruent segments.
d. a midsegment is a segment connecting the midpoints of two sides of a triangle.

Explanation:

Step1: Analyze Option A

A perpendicular segment from a vertex of a triangle to the line containing the opposite side is an altitude, not a midsegment.

Step2: Analyze Option B

A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side is a median, not a midsegment.

Step3: Analyze Option C

A point that bisects a segment into two congruent segments is a mid - point, not a midsegment.

Step4: Analyze Option D

By the definition of a midsegment in a triangle, it is a segment connecting the midpoints of two sides of a triangle.

Answer:

D. A midsegment is a segment connecting the midpoints of two sides of a triangle.