HG U4D6 Midsegments Sept25

What do midsegments reveal about a triangle?

First complete the lesson in Desmos.

1

Segment CE is parallel to segment _______ .

1

Segment PM is parallel to segment _______ .

1

Segment NP is parallel to segment _______ .

1

If segment AB is a midsegment, what is the value of x?
x = _______ 

1

Use the figure to solve for x.
x = _______ 

1

Use the figure to solve for y.
y = _______ 

1

Use the figure to solve for x.
x = _______ 

1

Use the figure to solve for y.
y = _______ 

1

The measure of angle ADE = _______ degrees.

1

The measure of angle FEC = _______ degrees.

1

The measure of angle AED = _______ degrees.

1

Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC.
The lengths of the sides of  triangle DEF are shown. What is the length of segment AB?
AB = _______ units

1

Is it possible for polygon ABCDE to be dilated to figure VWXYZ?
Explain your reasoning.

1

Triangle XYZ is scaled and the image is X'Y'Z'.
a = _______ units

Use the image below to answer the questions.

1

a. The length of segment EF = _______ 
b. The measure of angle E = _______ degrees.
c. The measure of angle F = _______ degrees.

HG U4D6 Midsegments Sept25

Is it possible for polygon ABCDE to be dilated to figure VWXYZ?Explain your reasoning.

Is it possible for polygon ABCDE to be dilated to figure VWXYZ?Explain your reasoning.

Is it possible for polygon ABCDE to be dilated to figure VWXYZ?
Explain your reasoning.

Is it possible for polygon ABCDE to be dilated to figure VWXYZ?
Explain your reasoning.