5.1 Midsegment Theorem

5.1 Midsegment Theorem

Multiple Choice

Is DE parallel to BC?

• yes

• no

Multiple Choice

Is DE half the length of BC?

• yes

• no

Open Ended

Complete the statement.

 $\overline{JK}$   $\parallel$  _______

Use the Midsegment Theorem to Find Lengths

Construction: Triangles are used for strength in roof trusses. In the diagram, UV and VW are midsegments of Triangle RST. Find UV and RS. Solution on next slide.

Find UV & RS.

UV = 1/2 * RT = 1/2 (90 in. ) = 45 in

RS = 2 * VW = 2(57 in.) = 114 in.

Multiple Choice

What is the length of AB?

• 4

• 8

• 16

• 24

Multiple Choice

Find the length of the segment.

• 5

• 5/2

• 10

Multiple Choice

What is the value of x?

• 10

• 5

• 2

• no solution

Multiple Choice

Find v.

• 33

• 66

• 2v + 66

• v + 33

Multiple Choice

Find T.

• 35

• 5

• 40

• 4.5

Reminder!!!

DE = 1/2(AB)

CE = BE

AD = DC

Multiple Choice

If CE = 12, what is the value of CB?

• 12

• 6

• 24

Multiple Choice

What is the value of y?

• 3

• -3

• 5

• no solutoin

Place a figure in a coordinate plane

• Place a RECTANGLE in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex.

• red (0,0)

• blue (L, 0)

• purple (0, H)

• green (L, H)

Open Ended

Place a RIGHT TRIANGLE in a coordinate plane in a way that is convenient for finding side lengths. Assign coordinates to each vertex.

Multiple Choice

WINDOWS: A large triangular window is segmented as shown. In the diagram, DF and EF are midsegments of triangle ABC. Find DF.

• 45

• 90

• 180

Multiple Choice

WINDOWS: A large triangular window is segmented as shown. In the diagram, DF and EF are midsegments of triangle ABC. Find AB.

• 45

• 90

• 180

Multiple Choice

Suppose UW = 81, find ST.

• 81

• 40.5

• 162