Math ( Triangle Unit Review)
triceyrDay107HW.pdf
Day 107 – Mon February 8th Name: _______________________
Proving a Midsegment in a Triangle
1. Verify the midpoints of 𝐴𝐵̅̅ ̅̅ and 𝐴𝐶̅̅ ̅̅
( 𝑥2 + 𝑥1
2 ,
𝑦2 + 𝑦1 2
)
A(1, -3)
B(1, 7)
A(1, -3)
C(9, 5)
2. Verify 𝐸𝐹̅̅ ̅̅ ∥ 𝐵𝐶̅̅ ̅̅ . Show the segments have the same slope.
𝑦2 − 𝑦1 𝑥2 − 𝑥1
E(1, 2)
F(5, 1)
B(1, 7)
C(9, 5)
3. Verify 𝐵𝐶̅̅ ̅̅ is twice the distance of 𝐸𝐹̅̅ ̅̅ .
√(𝑥2 − 𝑥1) 2 + (𝑦2 − 𝑦1)
2
B(1, 7)
C(9, 5)
E(1, 2)
F(5, 1)
4. Is 𝐸𝐹̅̅ ̅̅ the midsegment of ∆𝐴𝐵𝐶? EXPLAIN your answer.