Download 5-1 Midsegments of Triangles

5-1
Midsegments of
Triangles
SWBAT: Use properties of midsegments to
solve problems
What is a Midsegment?
• Midsegment of a triangle: segment connecting the
midpoints of two sides
• Every triangle has three midsegments:
Triangle Midsegment
Theorem
Ex 1: Finding Lengths
H, J, and K are midpoints.
Find HJ, JK, and FG.
Ex 1B: Finding Lengths
Ex 1C: Finding Lengths
• In ΔXYZ, M,N, and P are Midpoints.
• The perimeter of ΔMNP is 60.
• Find NP and YZ
Ex 2: Identify Parallel
Segments
Example 2B: Identify
Parallel Segments
Ex 2C: Using Parallel
Segments
Find the Measures of the following angles.
Explain your reasoning.
mÐAMN =
mÐANM =
mÐNAM =
mÐACB =
mÐCNB =
Ex 3: Real World
Connection
• Segment CD represents a Bridge being built over a
lake. How long would the bridge be?
• How long is the bridge in Miles?
(1 mi = 5280ft)
Ex 3B: Real World
Connection
1
Mid = (250)
2
Mid = 125 Strides
æ 3.5 ft ö
125 Strides ç
÷ = 437.5 ft
è 1 Strides ø
Ex 4: Apply Algebra
• Find the Value of x and ZY and SQ
Ex 4B: Applying Algebra
Apply Concepts…
Try these.
a) If GH=20, find TS.
b) If RH=7, find ST.
c) If angle I measures 70 degrees, find 𝑚∠𝐺𝑇𝑅.
d)
Closure