Geometry: Geometric Proof Introduction

Chapter 2: Logic

Do Now

• Given: If (5x+1)/2 – 8 = 0

• Prove: x = 3

Homework

• Questions?• Comments?• Confusions• Ask Ask Ask!

Test

• Any questions about the test?!?!?!

• ASK ASK ASK!

Yesterday

• Algebraic Proofs

• TODAY: Geometric Proofs!

Geometric Proofs

• Two Column Proof: contains statements and reasons organized in two columns.

Example 5

• Given: <FGJ is congruent to <JGK, <JGK is congruent to <KGH, m<FGJ= 6x+7, and m<KGH= 8x – 5.

• Prove: x=6

Practice WS #19Prove that if

Practice WS #20

• Prove that if

Practice WS #21

• Prove that if

Practice WS #19Point P is located on 𝐴𝐵തതതത. The length of 𝐴𝑃തതതത is 2x+3, and the length of 𝑃𝐵തതതത is 3𝑥+12 .

Segment AB is 10.5 units long. Draw a diagram of this situation and prove that P is located two-thirds of the way between point A and point B.

Practice Problems

• Try some on your own/in table groups• As always if you are confused call me over and

ask a question!

Exit Ticket

• Given: ; and

• Prove: x= -12

and BC=2x+5

Xx= -3/5