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Chapter 5: Q. 18 (page 201)

Given:ABCDis a parallelogram;AD炉鈮�AC炉;AE炉鈮�EC炉;鈭�ADF鈮�鈭�CDF;m鈭�DAC=36.

Complete each statement about the diagram.

18.AE炉鈮�EC炉, soBE炉 is a(n) of鈻�ABC .

Short Answer

Expert verified

AE炉鈮�EC炉, soBE炉 is amedian of鈻�ABC .

Step by step solution

01

- Observe the given diagram.

The given diagram is:

02

- Write the definition of median.

The median is the line segment drawn from the vertex to the midpoint of the opposite side.

03

- Write the complete statement.

AE炉鈮�EC炉, soBE炉 is amedian of 鈻�ABC.

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Most popular questions from this chapter

Give the reason for each step in the following proof of theorem 5-6

Given: m鈭�A=m鈭�C=x;m鈭�B=m鈭�D=y

Prove: ABCD is a parallelogram.

Proof:

M, N and T are the midpoints of the sides of 螖XYZ.

If TN=7, thenXY=?炉

In Exercise 4 quad. ABCD is a parallelogram. Find the values of x, y, and z.

M, N and T are the midpoints of the sides of 螖XYZ.

If XZ=10, then MN=?炉

Write a paragraph proof.

Given: 鈻�ABCD;鈥夆赌�鈻�BEDF

Prove: AECF is a 鈻�.

(Hint: A short proof is possible if certain auxiliary segments ate drawn.)
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