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

12
Inscribed Angle : An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC

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

Page 1: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

Inscribed Angle: An angle whose

vertex is on the circle and

whose sides are chords of the circle

INSCRIBEDANGLE

INTER

CEP

TED

ARC

Page 2: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

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 intercepted arc!!

Page 3: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

Examples

1. If m JK = 80, find m JMK.

M

Q

K

S

J

2. If m MKS = 56, find m MS.

40

112

Page 4: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

48º

L

F

A

K

3. Find the measure of arc AL. (think about it!)

Page 5: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

72

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

Page 6: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

Example 4

In J, m 3 = 5x and m 4 = 2x + 9.Find the value of x.

3

Q

D

JT

U

4

x = 3

Page 7: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

180

diameter

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

Page 8: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

H

K

GN

4x – 14 = 90

Example 5

In K, GH is a diameter and m GNH = 4x – 14. Find the value of x.

x = 26

Page 9: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

H

K

GN

6x – 5 + 3x – 4 = 90

Example 6

In K, m 1 = 6x – 5 and m2 = 3x – 4. Find the value of x.

x = 11

1

2

Page 10: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

A circle can be circumscribed around a quadrilateral if and only if its

opposite angles are supplementary.

A B

CD

180 CmAm180 DmBm

Page 11: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

z

y+6

110

85

110 + y+6 =180

y = 64

z + 85 = 180z = 95

Example 7 Find y and z.

Page 12: Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INSCRIBED ANGLE INTERCEPTED ARC.

Theorem 12-11 Inscribed Angle Theoremwhslmeyer.weebly.com/uploads/5/8/1/8/58183903/12-3.pdf · Corollaries to Theorem 12-11: The Inscribed Angle Theorem Corollary 1 Two inscribed

Theorem 12-11 Inscribed Angle Theoremwhslmeyer.weebly.com/uploads/5/8/1/8/58183903/12-3.pdf · Corollaries to Theorem 12-11: The Inscribed Angle Theorem Corollary 1 Two inscribed

Splash Screen. Vocabulary inscribed angle intercepted arc.

Splash Screen. Vocabulary inscribed angle intercepted arc.

Angles Related to a Circle Lesson 10.5. Angles with Vertices on a Circle Inscribed Angle: an angle whose vertex is on a circle and whose sides are determined.

Angles Related to a Circle Lesson 10.5. Angles with Vertices on a Circle Inscribed Angle: an angle whose vertex is on a circle and whose sides are determined.

Holt McDougal Geometry 12-4 Inscribed Angles inscribed angle intercepted arc subtend Vocabulary.

Holt McDougal Geometry 12-4 Inscribed Angles inscribed angle intercepted arc subtend Vocabulary.

my.hrw.com 19.2 Angles in Inscribed Quadrilaterals · 19.2 Angles in Inscribed Quadrilaterals Find each angle measure of the inscribed quadrilateral. Substitute the value of x into

my.hrw.com 19.2 Angles in Inscribed Quadrilaterals · 19.2 Angles in Inscribed Quadrilaterals Find each angle measure of the inscribed quadrilateral. Substitute the value of x into

Holt Geometry 11-4 Inscribed Angles An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. An intercepted.

Holt Geometry 11-4 Inscribed Angles An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. An intercepted.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) Then/Now New Vocabulary Theorem 10.6: Inscribed Angle Theorem Proof: Inscribed Angle Theorem.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) Then/Now New Vocabulary Theorem 10.6: Inscribed Angle Theorem Proof: Inscribed Angle Theorem.

Inscribed Angle A measures _____ Arc BC measures _____ Central Angle measures _____.

Inscribed Angle A measures _____ Arc BC measures _____ Central Angle measures _____.

Lesson 7: The Angle Measure of an Arc · Lesson 7 introduces the angle measure of an arc and finishes the inscribed angle theorem. Only in this lesson is the inscribed angle theorem

Lesson 7: The Angle Measure of an Arc · Lesson 7 introduces the angle measure of an arc and finishes the inscribed angle theorem. Only in this lesson is the inscribed angle theorem

1. 4.2 – Circles & Volume Inscribed Angles Name … · 1. Sec 4.2 – Circles & Volume Inscribed Angles Name: Central Angle: An angle whose vertex is the center of the circle. Inscribed

1. 4.2 – Circles & Volume Inscribed Angles Name … · 1. Sec 4.2 – Circles & Volume Inscribed Angles Name: Central Angle: An angle whose vertex is the center of the circle. Inscribed

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) NGSSS Then/Now New Vocabulary Theorem 10.6: Inscribed Angle Theorem Proof: Inscribed Angle.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) NGSSS Then/Now New Vocabulary Theorem 10.6: Inscribed Angle Theorem Proof: Inscribed Angle.

Chapter 7: Proportions and Similarity · •Inscribed angle: an angle inside the circle with sides that are chords and a vertex on the edge of the circle •Inscribed angle = ½ intercepted

Chapter 7: Proportions and Similarity · •Inscribed angle: an angle inside the circle with sides that are chords and a vertex on the edge of the circle •Inscribed angle = ½ intercepted

6.4Use Inscribed Angles and Polygons Theorem 6.9 Measure of an Inscribed Angle Theorem The measure of an inscribed angle is one half the measure of its.

6.4Use Inscribed Angles and Polygons Theorem 6.9 Measure of an Inscribed Angle Theorem The measure of an inscribed angle is one half the measure of its.

Miquel Points and Inscribed Triangleseckartschmidt.de/Miqul.pdf · Miquel point, we shall denote the angle ϕ =∠ =∠ =∠ ´ ´ ´ MA B MB C MC A the Miquel angle of the inscribed

Miquel Points and Inscribed Triangleseckartschmidt.de/Miqul.pdf · Miquel point, we shall denote the angle ϕ =∠ =∠ =∠ ´ ´ ´ MA B MB C MC A the Miquel angle of the inscribed

11.4 Inscribed Angles. New Vocab: Inscribed Angle and Intercepted Arc.

11.4 Inscribed Angles. New Vocab: Inscribed Angle and Intercepted Arc.

Lesson 6: Unknown Angle Problems with Inscribed Angles in ... · Lesson 6: Unknown Angle Problems with Inscribed Angles in Circles . Student Outcomes Use the . inscribed angle theorem.

Lesson 6: Unknown Angle Problems with Inscribed Angles in ... · Lesson 6: Unknown Angle Problems with Inscribed Angles in Circles . Student Outcomes Use the . inscribed angle theorem.

12.3 Inscribed Angles An angle whose vertex is on the circle and whose sides are chords of the circle is an inscribed angle. An arc with endpoints on the.

12.3 Inscribed Angles An angle whose vertex is on the circle and whose sides are chords of the circle is an inscribed angle. An arc with endpoints on the.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) CCSS Then/Now New Vocabulary Theorem 10.6: Inscribed Angle Theorem Proof: Inscribed Angle.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) CCSS Then/Now New Vocabulary Theorem 10.6: Inscribed Angle Theorem Proof: Inscribed Angle.

Chapter 9 Summary - DR. EVES · • A central angle is an angle of a circle whose vertex is the center of the circle . • An inscribed angle is an angle of a circle whose vertex

Chapter 9 Summary - DR. EVES · • A central angle is an angle of a circle whose vertex is the center of the circle . • An inscribed angle is an angle of a circle whose vertex

2019-10-02 12:32 · Inscribed Angle Intercepted Arc Definition An whoso vortex 2 circle and whose contain chords of the circle An arc whoso endpoints lie on the sides of an inscribed

2019-10-02 12:32 · Inscribed Angle Intercepted Arc Definition An whoso vortex 2 circle and whose contain chords of the circle An arc whoso endpoints lie on the sides of an inscribed