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Warm Up. Please draw the diagram. S tate the given and what you want to prove. Your Turn To Present!. With your Row, you will present 4.3 20 minutes to read over 4.3 Come up with a plan on how you want to present the material PowerPoint Song/Dance Poster Paper

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Presentation Transcript
slide1

Warm Up

Please draw the diagram. State the given and what you want to prove

slide2

Your Turn To Present!

  • With your Row, you will present 4.3
  • 20 minutes to read over 4.3
  • Come up with a plan on how you want to present the material
    • PowerPoint
    • Song/Dance
    • Poster Paper
  • Each group has 5 minutes to present the material
  • Everyone must present!
slide3

YOU WILL BE GRADED FOR THIS ASSIGNMENT

    • Count as class participation grade
    • I will be looking for:
      • Creativity (10 Points)
      • Content – Theorem and proof (20 Points)
      • Presentation (10 Points)
      • All members participating (10 Points)
  • MUST HAVE THE NEW THEOREM AND A PROOF FROM YOUR TEXTBOOK IN YOUR PRESENTATION!
  • BE CREATIVE…….GOOOOOOOOOOOOOOOO!
slide4

4.3 A Right-Angle Theorem

Apply one way of proving that two angles are right angles.

T 23: If two angles are both supplementary and congruent, then they are right angles.

2

1

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Given: <1 = <2

Prove: <1 and <2 are right angles.

slide5

Proof:

Since <1 and <2 form a straight angle, they are supplementary. Therefore, m<1 and m<2 = 180. Since <1 and <2 are congruent, we can use substitution to get the equation:

m<1 + m< 2 = 180 or m<1 = 90

Thus, <1 is a right angle and so is <2.

slide6

You have graduated!!!!!

You no longer need to write the words statement and reason at the top of each proof from now on!!!!

Just make a T bar.

slide7

Given: Circle P

S is the mdpt of QR

Prove: PS QR

Τ

P

S

Q

R

slide8

Given: ABCD is a rhombus

AB = BC = CD = AD

Prove: AC BD

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Τ

Hint: Draw and label shape! Use a Detour Proof