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CIRCLEScincoDEmayo.notebook May 05, 2015 OBJ: To identify common tangents and tangent 's Red lines: common external tangents Blue lines: common internal tangents Red lines: common external tangents Blue line: common internal tangent 's: are tangent(externally) Red lines: common external tangents No common tangents 's are internally tangent Red Line: common external tangent P 352 (16) CirclesTUESDAY CIRCLEScincoDEmayo.notebook GIVEN:Circumscribed quadrilateralABCD and AB= 12; BC=15; CD=25. Find AD A B D C P 349(24); P342(16); P354AR(ALL) fig per section CirclesTUESDAY May 05, 2015 CIRCLEScincoDEmayo.notebook May 05, 2015 RADII of the same are ≅ !! er rite o ap n p W EF is a common tangent to A and B. What does this tell us? E F A C AC=7 DB=2 AB = 13 Find EF CirclesTUESDAY D B CIRCLEScincoDEmayo.notebook May 05, 2015 AB is a common tangent to E and F. What does this tell us? A B E C D Given: EC=10; FB CirclesTUESDAY F CIRCLEScincoDEmayo.notebook May 05, 2015 OBJ: to look at parts of a A 32o B AB (read arc AB) BA (same arc) BC or CB 50o C mAB = 32o mBC =? m AC =? Arc Addition Postulate CirclesTUESDAY CIRCLEScincoDEmayo.notebook May 05, 2015 X 60o A C B 65o . Y A 360o arc degrees CD is diameter BC cannot be used to name semi circle If the arc is > 180o must use 3 letters. CXB Minor arc: use 2 letters Major arc: use 3 letters Semi : use 3 letters Find the following: mCX m XCY CirclesTUESDAY mCXB = 180o m CY m XY m XCB m XYB CIRCLEScincoDEmayo.notebook May 05, 2015 What you will need: Paper plate ruler protractor pencil or pen X Y ? L 11 550o o ? Z PAPER PLATE: Find the center(two folds) Mark the center and put either your first name initial or last name initial by the center dot. ( mine is L) Mark 3 other dots on the circle and name these points X, Y, and Z. Draw a segment from one of your points to the center (what is this called?) Draw a segment from another point to the center. Measure that angle and write it inside the angle. Draw a segment from the third point to each of the other two points. (what are these segements called?) Measure that angle and write it inside the angle. How do these two angle measures relate to each other? CirclesTUESDAY CIRCLEScincoDEmayo.notebook May 05, 2015 The angles with the center as a vertex and sides are radii are called central angles. The angles with the vertex on the circle and sides are chords are called incsribed angles. What did you learn from the paper plate? How do these two types of angles relate? m of central angle = measure of the arc m of inscribed angle = one half the measure of the arc. P 352(9, 11) P353(68) fig;(912) fig each problem P 357 CE(1+14) 1 fig; P 357 Ex(17) 1 fig CirclesTUESDAY CIRCLEScincoDEmayo.notebook CirclesTUESDAY May 05, 2015