Sec - wsfcs.k12.nc.us
Math 3 Honors Name: __________________________
Triangle Proportionality Theorem
If a line ______________________ to one side of a triangle intersects the other two sides, then it __________________________ the two sides ______________________________________________.
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Find the values of x:
1. x = ________ 2. x = _____
3. x = ______ 4. x = ______ y = _______
5. 6.
Find x and y.
x = _______ y = ________ Find x = ______
Midsegment of a triangle – a segment that connects the midpoints of two sides of a triangle
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Midsegment Theorem
The midsegment of a triangle is parallel to the third side and half the length of the third side.
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Examples: X, Y, and Z are the midpoints of the sides of ( MNO.
7. YZ=3 x + 1 & MN = 10 x – 6, then YZ = ______
8. YX = x – 1, & MO = 3 x – 7, then MO = _____
9. m ( MON = 48(, then m ( MZX = ________
10. Name a triangle that is similar to ( ZOY. ______
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However [pic] But, [pic]
20
122
6
4
33
x
x
5
24
15
x
6
10
4
14
10
x
y
x
15
9
3
2
x
y
15[pic]
12
10
M
Z
O
Y
N
X
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