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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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Warm Up

Please draw the diagram. State 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

  • Each group has 5 minutes to present the material

  • Everyone must present!


  • 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!


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

~

Given: <1 = <2

Prove: <1 and <2 are right angles.


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.


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.


Given: Circle P

S is the mdpt of QR

Prove: PS QR

Τ

P

S

Q

R


Given: ABCD is a rhombus

AB = BC = CD = AD

Prove: AC BD

~

~

~

Τ

Hint: Draw and label shape! Use a Detour Proof


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