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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

A two-column proof of the theorem is shown, but the proof is incomplete.


Which of the following completes the proof?

Aby the addition property
Bby the distance formula
Cby construction
Dgiven

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-column proof of the theorem is sh class=
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-column proof of the theorem is sh class=

Verified Answer :

Nirina7

the answer is
b. by the distance formula  (it can be find by using  thales distance theorem)

JeanaShupp

Answer: b. by the distance formula


Step-by-step explanation:

The Distance Formula is a useful method for finding the distance between two points.

Given points of A=(6,8)

C=(8,4)

Thus, AC=\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(=\sqrt{(8-6)^2+(4-8)^2}\)

\(\sqrt{(2)^2+(-4)^2}\)

\(\sqrt{4+16} =\sqrt{20}\)

Coordinates of segment DE is given by statement 1.

D=(4,5) and C=(5,3)

DE=\(=\sqrt{(5-4)^2+(3-5)^2}\)

\(\sqrt{(1)^2+(-2)^2}\)

\(\sqrt{1+4} =\sqrt{5}\)

which gives the statement 2.

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