TODAY IN GEOMETRY…  Warm up: Inscribed Polygons  STATs for Ch.10 Quiz  Learning Target : 10.5 You will find the measures of angles inside or outside.

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Presentation transcript:

TODAY IN GEOMETRY…  Warm up: Inscribed Polygons  STATs for Ch.10 Quiz  Learning Target : 10.5 You will find the measures of angles inside or outside of a circle  Independent practice

WARM UP: Find the value(s) of the variable(s)

HOW DID YOU “SHAPE” UP?? Results for ALL of my Geometry classes: GRADE NUMBER OF STUDENTS WHO TOOK THE CH.10 QUIZ (16 pts.) 1 ST PERIOD3 RD PERIOD5 TH PERIOD6 TH PERIODTOTAL A B C00000 D23005 F20406 Avg

THEOREM-CHORDS AND TANGENTS: If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of the intersected arc.

PRACTICE:

INTERSECTING LINES AND CIRCLES: If two lines intersect a circle, there are three places where the lines can intersect:

INSIDE ANGLE THEOREM: If two chords intersect inside a circle, then the measure of each angle is one half the sum (addition) of the measures of the arcs intercepted by the angle and its vertical angle.

EXAMPLE:

PRACTICE: Find the value of x.

EXAMPLE: Find the value of y.

PRACTICE: Find the value of x.

OUTSIDE ANGLE THEOREM: If two lines intersect outside a circle, then the measures of the angle formed is one-half the difference (subtract) of the measures of the intercepted arc.

EXAMPLE:

EXAMPLE: Find the value of x.

EXAMPLE: Find the value of a.

PRACTICE: Find the value of x.

EXAMPLE: Find the value of x.

PRACTICE: Find the value of x.

HOMEWORK #5: Pg. 683: 3-13 If finished, work on other assignments: HW #1: Pg. 655: 3-20, 24-26, 30 HW #2: Pg. 661: 3-14, 17, 23 HW #3: Pg. 667: 3-15 HW #4: Pg. 676: 3-16 Pg. 679: 40-46