Warm up.

Slides:

Advertisements

Similar presentations

Chapter 10 Circles Section 10.3 Inscribed Angles U SING I NSCRIBED A NGLES U SING P ROPERTIES OF I NSCRIBED P OLYGONS.

Advertisements

Warm Up Determine the measures of the indicated angles Now put it all together to solve for the missing angle.

TODAY IN GEOMETRY… Review:

For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1)2)

10.3 Inscribed Angles Goal 1: Use inscribed angles to solve problems Goal 2: Use properties of inscribed polygons CAS 4, 7, 16, 21.

Inscribed Angles Section 10.5.

10.2– Find Arc Measures. TermDefinitionPicture Central Angle An angle whose vertex is the center of the circle P A C.

Warm up 30  80  100  180  100  260 . Review HW.

Use Inscribed Angles and Polygons

6.4 Use Inscribed Angles and Polygons Quiz: Friday.

Warm – up 2. Inscribed Angles Section 6.4 Standards MM2G3. Students will understand the properties of circles. b. Understand and use properties of central,

1 Sect Inscribed Angles Goal 1 Using Inscribed Angles Goal 2 Using Properties of Inscribed Angles.

Section 10.3 – Inscribed Angles

Geometry Section 10-4 Use Inscribed Angles and Polygons.

Chapter 10.4 Notes: Use Inscribed Angles and Polygons

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

Warm up. P A B Case I: Central Angle: Vertex is AT the center 

Inscribed Angles 10.3 California State Standards

Warm Up Week 1. Section 10.3 Day 1 I will use inscribed angles to solve problems. Inscribed Angles An angle whose vertex is on a circle and whose.

Section 10.3 Inscribed Angles. Inscribed Angle An angle whose vertex is on a circle and whose sides contain chords of the circle Inscribed Angle.

Inscribed Angles Section 10.3 Goal: To use inscribed angles to solve problems To use properties of inscribed polygons.

Unit Question: What happens when line segments intersect a circle? Today’s Question: What is an inscribed angle and how do you find it’s measure?

Warm up. Review HW Skills Check P A B Case I: Central Angle: Vertex is AT the center 

Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INTERCEPTED ARC INSCRIBED ANGLE.

Have your homework out and be ready to discuss any questions you had. Wednesday, February 6, 2013 Agenda No TISK or MM HW Questions (9-2 & 9-3) Lesson.

Warm up 30  80  100  180  100  260 . Inscribed Angles and Inscribed Quadrilaterals.

Objective: Measures of Inscribed Angles & Inscribed Polygons. (3.12.3) Section 10.4.

Inscribed and Circumscribed Polygons Inscribed n If all of the vertices of a polygon lie on the circle, then the polygon is inscribed.

Warm-up Find the measure of each arc.. Inscribed Angles.

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

10.3 Inscribed Angles Intercepted arc. Definition of Inscribed Angles An Inscribed angle is an angle with its vertex on the circle.

Section 10-3 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B D is an inscribed.

Use Inscribed Angles and Polygons Lesson Definitions/Theorem 10.7 BAC = ½(BC) Intercepted Arc Inscribed Angle A B C. Central Angle.

Warm up April 22. EOCT Week 14 #2 Review HW P A B Case I: Central Angle: Vertex is AT the center 

Inscribed Angles Lesson 10.3b California State Standards 4: Prove theorems involving congruence and similarity 7: Prove/use theorems involving circles.

Topic 12-3 Definition Secant – a line that intersects a circle in two points.

Warm up 30  80  100  180  100  260 . Wheel of Formulas!!

For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1)2)

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

Warm-Up For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1) 2)

10.7 Inscribed and Circumscribed Polygons

Unit 3 Circles.

Warm Up Determine the measures of the indicated angles

Warm up NL and KM are diameters.

Warm up 30 80 100 180 100 260.

Warm up 30 80 100 180 100 260.

Daily Check For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1) 2)

Daily Check For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1) 2)

Warm-Up Determine whether arc is a major or minor arc.

Warm up 30 80 100 180 100 260.

8.3 Inscribed Polygons There are a couple very helpful Theorems about Polygons Inscribed within circles that we will look at.

WELCOME Math 2 Last Night’s HW: None Chapter 9: Circles

Section 10.3 – Inscribed Angles

Use Inscribed Angles and Polygons

Inscribed Angles and Quadrilaterals

Warm up Find the missing measures: 130° D A R ° 60 C 230° B.

Warm-up Find the measure of each arc..

Warm up NL and KM are diameters.

Warm up 30 80 100 180 100 260.

Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle

_____________: An angle whose vertex is on the circle and whose sides are chords of the circle

Section 10.4 Use Inscribed Angles And Polygons Standard:

Inscribed Angles & Inscribed Quadrilaterals

10.4 Inscribed Angles.

Warm up #1 1/6 & 1/9 30 80 100 180 100 260.

Presentation transcript:

Warm up

If all the vertices of a polygon touch the edge of the circle, the polygon is INSCRIBED and the circle is CIRCUMSCRIBED.

a quadrilateral inscribed in a circle: opposite angles are supplementary.

If a right triangle is inscribed in a circle then the hypotenuse is the diameter of the circle.

x = 3 In J, m<3 = 5x and m<4 = 2x + 9. Example 3 Find the value of x. 3 Q D J T U 4 x = 3

Example 4 In K, GH is a diameter and m<GNH = 4x – 14. Find the value of x. 4x – 14 = 90 H K G N x = 26 Bonus: What type of triangle is this? Why?

y = 70 z = 95 110 + y =180 z + 85 = 180 Example 5 Find y and z. z 110