CIRCLES 1 Moody Mathematics. VOCABULARY: Identify the name of the object pictured in each frame. VOCABULARY: Identify the name of the object pictured.

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Presentation transcript:

CIRCLES 1 Moody Mathematics

VOCABULARY: Identify the name of the object pictured in each frame. VOCABULARY: Identify the name of the object pictured in each frame. Moody Mathematics

Center

Radius

Tangent

Point of Tangency Moody Mathematics

Secant

Chord

Diameter

Concentric Circles Moody Mathematics

Central Angle Central Angle Moody Mathematics

Inscribed Angle Inscribed Angle Moody Mathematics

Inscribed Polygon Inscribed Polygon Moody Mathematics

Circumscribed Polygon Moody Mathematics

Inscribed Circle Moody Mathematics

Circumscribed Circle Circumscribed Circle Moody Mathematics

Intercepted Arc Moody Mathematics

Minor Arc Moody Mathematics

Semicircle

Major Arc Moody Mathematics

Angles & Arcs: Angles & Arcs: Moody Mathematics The measure of the angle depends mostly on where it’s vertex lies. Is it inside the circle, on the circle, or outside the circle?

Moody Mathematics The measure of a minor arc is the same as… …the measure of its central angle.

The measure of an inscribed angle is… …half the measure of its intercepted arc.

The measure of an angle formed by a tangent and secant is … …half the measure of its intercepted arc.

The measure of one of the vertical angles formed by 2 intersecting chords...is half the sum of the two intercepted arcs.

The measure of an angle formed by 2 secants intersecting outside of a circle is… …half the difference of the measures of its two intercepted arcs.

The measure of an angle formed by 2 tangents intersecting outside of a circle is… …half the difference of the measures of its two intercepted arcs.

If a quadrilateral is inscribed in a circle then each pair of opposite angles …...must be supplementary. (total 180 o )

Angles & Arcs: Find the measure of the indicated object in each frame. Angles & Arcs: Find the measure of the indicated object in each frame. Moody Mathematics

88 o Moody Mathematics

25 o x Moody Mathematics

x 100 o 60 o Moody Mathematics

x 130 o Moody Mathematics

The End

3 4 2 x Moody Mathematics

3 4 2 X=6 Moody Mathematics

10 x Moody Mathematics

10 X=10 Moody Mathematics