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

Slides:

Advertisements

Similar presentations

1 Lesson 6.3 Inscribed Angles and their Intercepted Arcs Goal 1 Using Inscribed Angles Goal 2 Using Properties of Inscribed Angles.

Advertisements

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.

P A B C Central Angle : An Angle whose vertex is at the center of the circle Minor ArcMajor Arc Less than 180° More than 180° AB ACB To name: use 2 letters.

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.

Warm-Up Find the area of the shaded region. 10m 140°

Chapter 10.4 Notes: Use Inscribed Angles and Polygons

1.Name 2.Who can you help you learn the best in class? 3.Who can you NOT work with in class? 4.Where do you want to sit?

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 9-5. Inscribed Angles An angle whose vertex is on a circle and whose sides contain chords of the circle.

SWBAT find the measure of an inscribed angle. P A B C Central Angle : An Angle whose vertex is at the center of the circle Minor ArcMajor Arc Less than.

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 angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and.

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

11.3: INSCRIBED ANGLES Objectives: Students will be able to… Apply the relationship between an inscribed angle and the arc it intercepts Find the measures.

Inscribed Angles Inscribed angles have a vertex on the circle and sides contain chords of the circle.

Section 9-5 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B C D are inscribed.

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

Friday-Chapter 6 Quiz 2 on

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.

P A B C Central Angle : An Angle whose vertex is at the center of the circle Minor ArcMajor Arc Less than 180° More than 180° AB ACB To name: use 2.

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.

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

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.

10.4 Inscribed Angles and Polygons

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

Unit 3 Circles.

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 30 80 100 180 100 260.

Section 10.3 – Inscribed Angles

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.

12.3 Inscribed Angles.

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

9-5 Inscribed Angles.

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

Circles and inscribed angles

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:

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

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: What is the relationship of an inscribed angle to the measure of its intercepted arc? Standard: MM2G3.b

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

Determine whether each angle is an inscribed angle. Name the intercepted arc for the angle. C L O T 1. YES; CL

Determine whether each angle is an inscribed angle. Name the intercepted arc for the angle. Q R K V 2. NO; QVR S

To find the measure of an inscribed angle…

120 x What do we call this type of angle? What is the value of x? y What do we call this type of angle?How do we solve for y? The measure of the inscribed angle is HALF the measure of the inscribed arc!!

Examples 3. If m JK = 80 , find m <JMK. M Q K S J 4. If m <MKS = 56 , find m MS. 40  112 

72  If two inscribed angles intercept the same arc, then they are congruent.

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

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

A circle can be circumscribed around a quadrilateral if and only if its opposite angles are supplementary. A B C D

z y y =180 y = 70 z + 85 = 180 z = 95 Example 8 Find y and z.

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

H K G N 4x – 14 = 90 Example 6 In  K, m <GNH = 4x – 14. Find the value of x. x = 26

H K G N or 6x – 5 + 3x – 4 = 90 Example 7 In  K, m <1 = 6x – 5 and m <2 = 3x – 4. Find the value of x. x = x – 5 + 3x – = 180