Triangle Midsegments

Presentation

•

Mathematics

•

9th - 10th Grade

•

Hard

Joseph Anderson

FREE Resource

5 Slides • 9 Questions

Triangle Midsegments and Proportionality
(You may want a calculator)

Multiple Select

DE is a midsegment. Based off the image, which statements are true? Select all that apply.

D is a midpoint of AB

E is a midpoint of AC

DE = BC

DE is parallel to BC

If a segment joins the midpoints of two sides of a triangle,

the segment is parallel to the third side
and
the segment is half as long as the third side

Triangle Midsegment Theorem:

Fill in the Blanks

Given M, N midpoints.
MN = 12
Find DF.

Fill in the Blanks

Given D, E midpoints.
DE = 3x - 5
BC = 26
Find x.

Multiple Choice

Find the length of PQ

Multiple Choice

Find the length of PU

If a line parallel to the side of a triangle intersects the other two sides, THEN it divides those sides proportionally.

Triangle Proportionality Theorem

Fill in the Blanks

Find the value of x.

SOLUTION:
There is more than one way to set up your proportion!

In order to compare the parallel sides, you must set up the proportion comparing Big and Small triangles

CAUTION!!

Fill in the Blanks

Solve for the missing value

Multiple Choice

Solve for the missing value

60/14

(reduced 30/7)

Fill in the Blanks

Solve for x.

Triangle Midsegments and Proportionality
(You may want a calculator)

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