- 67 Views
- Uploaded on
- Presentation posted in: General

Section 5.1: Midsegments of Triangles

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Warmup: The triangular face of the Rock and Roll Hall of Fame in Cleveland, Ohio, is isosceles. The length of the base is 229ft. 6 in. What is the length of the highlighted line that lies at the halfway point of both legs of the triangle (write your answer in x ft., y in., guess if you don’t know)?

Section 5.1: Midsegments of Triangles

LEQ: What is a midsegment of a triangle and how can it help us solve problems?

- Need a sheet of paper, ruler, and scissors
- Draw a scalene triangle and cut it out
- Label the vertices A,B, and C
- Measure AB and record your measurement

B

A

C

1.) Fold A onto C to find the midpoint of AC. Label the midpoint L.

2.) Fold B onto C to find the midpoint of BC and label it N

3.) construct line LN

4.) measure LN.

5.) How does this compare AB?

B

A

C

L

A midsegment of a triangle is a segment connecting the midpoints of 2 sides.

Triangle midsegment theorem:

“If a segment joins the midpoints of 2 sides of a triangle, then the segment is parallel to the third side, and is half its length.”

R

Q

E

A

B

E

F

C

In ∆DEF, A, B and C are midpoints. Name pairs of parallel segments.

F

HJ=

J

JK=

H

FG=

E

K

G

In ∆EFG, H, J and K are midpoints.

EF = 60, EG = 100 and HK = 40

Find HJ, JK, and FG.

A

E

B

D

C

AB = 10 and CD = 18. Find EB, BC and AC.

Using the triangle, if EB = 2x and DC = 24, find the value of x.

The triangular face of the Rock and Roll Hall of Fame in Cleveland, Ohio, is isosceles. The length of the base is 229ft. 6 in. What is the length of the highlighted line that lies at the halfway point of both legs of the triangle?

- 5.1 wkst

Dan & EmileeCody & Josh

Gabi & CarterCaitie & Jeremy

Laura & Colton

Codi & Erica

Hunter & AbbyDolan & Andrew

Katie & CollinDylan & Cody

James & Angel & Thomas

Jarrett & Kirsten