Math ( Triangle Unit Review)

profiletriceyr
Day107HW.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.