Welcome!Tear-Out: Pg.339-346(Classnotes)CirH2:Pg. 347 #8-12

Updates:CirQ1willbe3/10 CirTestwillbe3/29

(1) ReviewCirH1(2) TheoremsaboutChords(24-2)(3) TangentSegments(24-3)(4) ExitTicket

Agenda

Ifyouhavenotstapledinyournotesfromthelastclassperiodpleasedoso.Pg.9,335-338andthecircle.Today’sLesson#:CirA24Topic:TheoremsaboutChordsandTangentSegmentsLO#3:Proveandapplytheoremsaboutchordsofacircle.

24-2TheoremsaboutChords

Page 339 Do #1a. (30 secs) Check your horizontal partners drawing. Answer #1b with your vertical partner. (30 secs)

24-2TheoremsaboutChords

Theorems about Chords: 1. If a diameter or radius is perpendicular to a chord, then the diameter or radius bisects the chord. **** I will draw a picture on the board and I would like you to use two highlighters to help you understand the picture and theorem.

24-2TheoremsaboutChords

Whiteboards!Practice: Please copy your solution for #2 into your notebook. (1) (2)

24-2TheoremsaboutChordsPg. 340 We will read and complete as a class.

24-2TheoremsaboutChordsEach table will receive mixed up statements and reasons cutouts. Attempt to create the proof. **NOTE – There are multiple arrangements. Your proof might be correct and not match another correct team. (5 minutes)

24-2TheoremsaboutChordsTheorems about Chords: 2. If two chords are congruent in a circle, then the chords are equidistant from the center. o  Highlight the if on the diagram. o  Highlight the then on the diagram.

Whiteboards!Practice: Please copy your solution into your notebook.

24-2TheoremsaboutChordsComplete #4-5 independently. (3 minutes)

24-2TheoremsaboutChordsComplete #6 independently. (3 minutes)

24-2TheoremsaboutChordsHave one person from each group come and take protractors, rulers, and 3 circle templates. On the circle template you will complete #8(a-c). (6 minutes)

24-2TheoremsaboutChordsTheorems about Chords: 3. If two chords intersect in a circle, then the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord. o  Cut out the circle and paste it underneath the theorem

above. I would recommend writing the equation on your circle: AX � XB = CX �XD

o  Highlight the if on the diagram. o  Highlight the then on the diagram.

24-2TheoremsaboutChordsComplete #10 in your SB notes. Write your _inal solution on your whiteboard. Do not show it until I tell you too.

24-3TangentSegmentsLO#4:Usetangentstosolveproblems.

Ø  Geogebra and Tangents!

Tangent Segments Theorem If two tangents intersect at a point outside of the circle, then the tangent segments are congruent.

Whiteboards!Practice: Please copy your solution into your notebook. Assume segments that appear to be tangent are tangent.

x y

24-3TangentSegmentsPg. 346 Do #2(a-b). (4 mins) Staple pgs. 339-346 into your notebook!

ExitTicket(a)Fromyournotes,listtheTheoremAboutChords(#1,2,or3)thatwouldhelpyouRindthevalueofxintheRigure.(b)Findthevalueofxandroundtothenearesttenth.