Monday October 21. Test Friday Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question:

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Presentation transcript:

Monday October 21

Test Friday

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different from inscribed angles? Standard: MM2G3.b

Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. C Symbol: equidistant center C

CHORD: A segment whose endpoints are on the circle

Diameter P DIAMETER: Distance across the circle through its center Also known as the longest chord.

P RADIUS: Distance from the center to point on circle Radius

D = r = ? r = D =

Use  P to determine whether each statement is true or false. P Q R T S

Secant Line: intersects the circle at exactly TWO points

a LINE that intersects the circle exactly ONE time Tangent Line: Forms a 90°angle

Name the term that best describes the notation. Secant Radius Diameter Chord Tangent

THINGS TO REMEMBER: A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Equal Linear Pairs are Supplementary

P A B C Central Angle : vertex is at the center of the circle  APB is a Central Angle

P A B C Case I: Vertex is AT the center

P E F D Semicircle: An Arc that equals 180° EDF To name: use 3 letters

P A B C Minor ArcMajor Arc Less than 180° More than 180° AB ACB Central Angle : vertex is at the center of the circle

measure of an arc = measure of central angle A B C Q 96  m AB m ACB m AE E = = = 2x + 14 Find x. 96° 264° x = 35