Question

From the statement select the related given statement.

In a triangle, a segment joining the midpoints of two sides is one-half the length of the third side.
A) Plane R is parallel to plane S: Plane T cuts planes R and S.
B) ABC with ∠1=∠2.
C) Line I; point P not on I.
D) ABC with midpoints M and N.

Answer 1

The correct answer is option D, which is the only choice that directly applies the Midsegment Theorem of triangles by describing a triangle ABC with midpoints on its sides.

Step-by-step explanation:

The correct answer is option D: ABC with midpoints M and N. This statement relates to the given property that in a triangle, a segment joining the midpoints of two sides is one-half the length of the third side. This property is a consequence of the Midsegment Theorem, which states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long. This directly matches the description given in the statement and corresponds to geometry and triangles.

When a line segment joins the midpoints of two sides of a triangle, the resulting line segment is called a midsegment. Therefore, a triangle ABC with midpoints M and N on two of its sides will have a midsegment that is half the length of the third side, which is a direct application of the Midsegment Theorem in geometry.