Presentation is loading. Please wait.

Presentation is loading. Please wait.

120 x A D B Unit 4: Circles Agenda 1. Do Now

Published byDuane Houston Modified over 5 years ago

Similar presentations

Presentation on theme: "120 x A D B Unit 4: Circles Agenda 1. Do Now"— Presentation transcript:

1 DO NOW 1.28: Find the missing angle measure in circle B (Hint: a circle contains 360 degrees)
120 x A D B Unit 4: Circles Agenda 1. Do Now 2. Finals Debrief (Topics for Review) 3. Definitions: Radius, Diameter, Chord 4.Paper Pushing Puzzle 5. Debrief

2 Finals Debrief Topics Requiring Review:
Question #1, 4 - Identifying what the question is asking you to find! Question #6 - Slope of parallel and perpendicular lines Question #10, 21 - Triangle congruence and similarity shortcuts Question #13 - Triangle similarity; word problems and diagramming! Question #14 - Quadrilaterals on the coordinate grid Question #17,18 - Trigonometry

3 Basic Circle Definitions
Circle - the set of points a fixed distance from a center point Radius - a line segment from the center point to a point on the circle Diameter - a line segment that has two endpoints on the circle and passes through the center point (= radius x2!) Chord - any line segment with two endpoints on the circle **MUST BE IN NOTES!**

4 Paper Pushing Puzzle

5 Exit Ticket

6 Circles: Central and Inscribed Angles
DO NOW 1/29: Find the length of side AB and determine the missing angle measures. (Hint: definition and properties of radius) B A C 35º 6 ft xº Circles: Central and Inscribed Angles Agenda Do Now Definitions: Inscribed and Central Angles Algebraic Examples Debrief

7 Problem Set #1-3

8 Angles in Circles Definitions
Central angle – an angle with its vertex on the center point, and sides made of radii Inscribed angle – a circle with its vertex on the circle, and sides made of chords. Arc – the curve between two points along the edge circle **MUST BE IN NOTES!**

9 Soccer Shot Diagram Use the 30º angle to find which shot is on the edge of the players range. Mark at least 8 other points that are also on the edge of the players range. What shape is formed? With a shoulder partner, mark a point on the field where you can make a shot with your two angles combine. Where does this point appear to be located? Use the 90º corner of any sheet of paper and put the vertex on the Goalie (point x). How can we describe the range of the goalies block?

10 Central Angles Central angles will always be equal to the arc they intercept. Inscribed angles will always be equal to ½ of the arc they intercept.

11 Exit Ticket

12 Central and Inscribed Angles with Algebra
DO NOW 1.30: Name the intercepted arc and find the measure of the inscribed angle. Central and Inscribed Angles with Algebra Agenda 1. Do Now 2. Minor Arc/Major Arc 3. Central and Inscribed Angle Problems with Algebra 4. Carousel 5. Debrief

13 Minor Arc vs. Major Arc A minor arc is an arc that contains less than 180 degrees; named with two letters. A major arc is greater than 180 degrees; named with three letters.

14 Central Angle Problems (with Algebra)
central angle = intercepted arc

15 Inscribed Angle Problems (with Algebra)
inscribed angle = 1/2 (intercepted arc)

16 Debrief Thinking back to “Thale’s Theorem” - use inscribed angles to describe why a 90 degree angle on the circle will always create the endpoints of the diameter

Download ppt "120 x A D B Unit 4: Circles Agenda 1. Do Now"

Similar presentations

Circles. Parts of a Circle Circle A circle is the set of all points in a plane that are a given distance from a given point in the plane, called the.

Circles. Parts of a Circle Circle A circle is the set of all points in a plane that are a given distance from a given point in the plane, called the.
Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.
Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.
By Mark Hatem and Maddie Hines

By Mark Hatem and Maddie Hines
Circles Chapter 10.

Circles Chapter 10.
Circles.

Circles.
Tangents to Circles (with Circle Review)

Tangents to Circles (with Circle Review)
Warm Up Find the unknown side lengths in each special right triangle.

Warm Up Find the unknown side lengths in each special right triangle.
Circles. Parts of a Circle A B C D Radius - segment from center pt to a point on the circle. Ex. AC, BC, DC are all radiuses.

Circles. Parts of a Circle A B C D Radius - segment from center pt to a point on the circle. Ex. AC, BC, DC are all radiuses.
10.1 – Tangents to Circles. A circle is a set of points in a plane at a given distance from a given point in the plane. The given point is a center. CENTER.

10.1 – Tangents to Circles. A circle is a set of points in a plane at a given distance from a given point in the plane. The given point is a center. CENTER.
Review May 16, 2008. Right Triangles The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the.

Review May 16, Right Triangles The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the.
1 Circles. 2 3 Definitions A circle is the set of all points in a plane that are the same distance from a fixed point called the center of the circle.

1 Circles. 2 3 Definitions A circle is the set of all points in a plane that are the same distance from a fixed point called the center of the circle.
6.3 – 6.4 Properties of Chords and Inscribed Angles.

6.3 – 6.4 Properties of Chords and Inscribed Angles.
Circles Chapter 12.

Circles Chapter 12.
Circle GEOMETRY Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.

Circle GEOMETRY Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.
10.3 Inscribed Angles. Definitions Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted Arc.

10.3 Inscribed Angles. Definitions Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted Arc.
Inscribed Angles Inscribed Angles – An angle that has its vertex on the circle and its sides contained in chords of the circle. Intercepted – An angle.

Inscribed Angles Inscribed Angles – An angle that has its vertex on the circle and its sides contained in chords of the circle. Intercepted – An angle.
11-2 Chords & Arcs 11-3 Inscribed Angles

11-2 Chords & Arcs 11-3 Inscribed Angles
Tangents to CirclesCircles Secants and Tangents Secant 2 points of intersection Tangent 1 point of intersection Point of Tangency.

Tangents to CirclesCircles Secants and Tangents Secant 2 points of intersection Tangent 1 point of intersection Point of Tangency.
Inscribed Angles. Inscribed Angles and Central Angles A Central angle has a vertex that lies in the center of a circle. A n inscribed angle has a vertex.

Inscribed Angles. Inscribed Angles and Central Angles A Central angle has a vertex that lies in the center of a circle. A n inscribed angle has a vertex.

Similar presentations

Ads by Google