5.1 Midsegments of Triangles
Can you figure out the puzzle below???
IF-LAND
IF-IF-C
On April 18th, 1775 the One
signal if
was
tell Paul
Revere
bytoland,
two
if bywhether
sea. the British were
going to approach Lexington by sea or by land. A patriot placed two lamps in the
tower and Paul Revere then spread the word to the rest of the patriots so they
could be ready for the battle.
Midsegments
Midsegment of a Triangle: a segment connecting the midpoints
of two sides of a triangle
Theorem 5-1: Triangle Midsegment Theorem
If a segment joins the midpoints of two sides of a triangle, then the
segment is parallel to the third side, and is half its length
Finding Lengths
In 
, H, J, and K are midpoints.
EFG
Find HJ, JK, and FG.
AB = 10 and CD = 26. Find EB, BC, and AC.
Parallel Segments
In 
, A, B, and C are midpoints.
DEF
Name each midsegment and the side
of the triangle parallel to it.
*What theorem justifies that the lines
are parallel?
Parallel Segments
Find m
and mXUV .

VUZ
Justify your answer.
If XY = 3x + 2 and UV = 16, find the value of x.
Midsegments
Find the values for x and y.
Kick it up a notch!
Find the values for w, x, y, and z. Round to the nearest tenth.
Recall that previous knowledge!
Find the equations for the lines that represent the midsegments of the
following triangle.
5.1 Midsegments of Triangles
Can you figure out the puzzle below???
VAD
ERS
HW: p.262
#1-25
odd, 32, 33
Space Invaders