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