Over Lesson 10–3 A.A B.B C.C D.D 5-Minute Check 1 80.

Slides:

Advertisements

Similar presentations

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.

Advertisements

10.4 Inscribed Angles.

Splash Screen. Over Lesson 10–3 5-Minute Check 1.

Inscribed Angles Section 10.5.

12.3 Inscribed Angles. Vocab: inscribed angle - an angle whose vertex is on a circle and whose sides are chords

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,

10.4 Use Inscribed Angles and Polygons. Inscribed Angles = ½ the Measure of the Intercepted Arc 90 ̊ 45 ̊

11-3 Inscribed Angles Objective: To find the measure of an inscribed angle.

10.3 Arcs and Chords & 10.4 Inscribed Angles

10.4.  Inscribed Angle: an angle that has a vertex on the circle. The sides of the angles are chords.  Intercepted Arc: the arc that is contained in.

Chapter 12.3 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

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

Inscribed Angles. An inscribed angle has a vertex on a circle and sides that contain chords of the circle. In, C,  QRS is an inscribed angle. An intercepted.

Inscribed Angles 10.3 California State Standards

6.3 – 6.4 Properties of Chords and Inscribed Angles.

Arcs and Chords Chapter 10-3.

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.

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.

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

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

Over Lesson 10–3 5-Minute Check 1 A.60 B.70 C.80 D.90.

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.

11-2 Chords & Arcs 11-3 Inscribed Angles

Inscribed Angles Using Inscribed Angles An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle.

5-Minute Check on Lesson 10-3 Transparency 10-4 Click the mouse button or press the Space Bar to display the answers. The radius of ⊙ R is 35, LM  NO,

Concept. Example 1 Use Inscribed Angles to Find Measures A. Find m  X. Answer: m  X = 43.

9-4 Inscribed Angles Objectives: To recognize and find measures of inscribed angles. To find properties of inscribed angles.

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.

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.

10-4 Inscribed Angles You found measures of interior angles of polygons. Find measures of inscribed angles. Find measures of angles of inscribed polygons.

Splash Screen. Vocabulary inscribed angle intercepted arc.

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.

Lesson 4 Menu 1.Refer to the figure. The radius of is 35, = 80, LM = 45, and LM  NO. Find. 2.Find. 3.Find the measure of NO. 4.Find the measure of NT.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Then/Now New Vocabulary Theorems: Properties of Parallelograms Proof: Theorem 6.4 Example.

Lesson 3 Menu 1.In, BD is a diameter and m  AOD = 55. Find m  COB. 2.Find m  DOC. 3.Find m  AOB. 4.Refer to. Find. 5.Find.

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

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

Inscribed Angles December 3, What is an inscribed angle? An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords.

1 Unit 5: Geometry Pairs of Angles. Lesson 1-5: Pairs of Angles 2 Adjacent Angles A pair of angles with a shared vertex and common side but do not have.

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.

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

Inscribed Angles LESSON 10–4. Lesson Menu Five-Minute Check (over Lesson 10–3) TEKS Then/Now New Vocabulary Theorem 10.6: Inscribed Angle Theorem Proof:

CHAPTER 10.4 INSCRIBED ANGLES AND TANGENTS. An inscribed angle has a vertex on a circle and sides that contain chords of the circle. An intercepted arc.

A. 60 B. 70 C. 80 D. 90.

Geometry 11-4 Inscribed Angles

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 The student will be able to:

Five-Minute Check (over Lesson 10–3) Then/Now New Vocabulary

Inscribed Angles Chapter 10-4.

LESSON 10–4 Inscribed Angles.

12.3 Inscribed Angles.

9-5 Inscribed Angles.

LESSON 10–4 Inscribed Angles.

Circles and inscribed angles

Section 10.4 Use Inscribed Angles And Polygons Standard:

Inscribed Angles.

11.5 Inscribed Angles.

Five-Minute Check (over Lesson 9–3) Mathematical Practices Then/Now

Presentation transcript:

Over Lesson 10–3 A.A B.B C.C D.D 5-Minute Check 1 80

Over Lesson 10–3 A.A B.B C.C D.D 5-Minute Check 2 40

Over Lesson 10–3 A.A B.B C.C D.D 5-Minute Check

Over Lesson 10–3 A.A B.B C.C D.D 5-Minute Check to the nearest tenth.

Over Lesson 10–3 A.A B.B C.C D.D 5-Minute Check 6 A. B. C. D.

Then/Now Find measures of inscribed angles. Find measures of angles of inscribed polygons. In this lesson we will:

Vocabulary inscribed angle—An angle whose vertex lies on a circle and whose sides contain chords of the circle. intercepted arc—The arc formed by an inscribed angle.

Concept

Example 1 Use Inscribed Angles to Find Measures A. Find m  X. Answer: m  X = 43

Example 1 Use Inscribed Angles to Find Measures B. = 2(252) or 104

A.A B.B C.C D.D Example 1 47 A. Find m  C.

A.A B.B C.C D.D Example 1 96 B.

Concept

Example 2 Use Inscribed Angles to Find Measures ALGEBRA Find m  R.  R   S  R and  S both intercept. m  R  m  SDefinition of congruent angles 12x – 13= 9x + 2Substitution x= 5Simplify. Answer: So, m  R = 12(5) – 13 or 47.

A.A B.B C.C D.D Example 2 49 ALGEBRA Find m  I.

Example 3 Use Inscribed Angles in Proofs Write a two-column proof. Given: Prove: ΔMNP  ΔLOP 1. Given Proof: StatementsReasons LO  MN2. If minor arcs are congruent, then corresponding chords are congruent.

Example 3 Use Inscribed Angles in Proofs Proof: StatementsReasons  M   L 4. Inscribed angles of the same arc are congruent.  MPN   OPL5. Vertical angles are congruent. ΔMNP  ΔLOP6. AAS Congruence Theorem 3. Definition of intercepted arc  M intercepts and  L intercepts.

Example 3 Write a two-column proof. Given: Prove: ΔABE  ΔDCE Select the appropriate reason that goes in the blank to complete the proof below. 1. Given Proof: StatementsReasons AB  DC2. If minor arcs are congruent, then corresponding chords are congruent.

Example 3 Proof: StatementsReasons  D   A 4.Inscribed angles of the same arc are congruent.  DEC   BEA5.Vertical angles are congruent. ΔDCE  ΔABE6. ____________________ 3. Definition of intercepted arc  D intercepts and  A intercepts.

A.A B.B C.C D.D Example 3 AAS Congruence Theorem

Concept

Example 4 Find Angle Measures in Inscribed Triangles ALGEBRA Find m  B. ΔABC is a right triangle because  C inscribes a semicircle. m  A + m  B + m  C= 180 Angle Sum Theorem (x + 4) + (8x – 4) + 90 = 180Substitution 9x + 90= 180Simplify. 9x= 90Subtract 90 from each side. x= 10Divide each side by 9. Answer: So, m  B = 8(10) – 4 or 76.

A.A B.B C.C D.D Example 4 22 ALGEBRA Find m  D.

Concept

Example 5 Find Angle Measures INSIGNIAS An insignia is an emblem that signifies rank, achievement, membership, and so on. The insignia shown is a quadrilateral inscribed in a circle. Find m  S and m  T.

Example 5 Find Angle Measures Since TSUV is inscribed in a circle, opposite angles are supplementary.  S +  V = 180  S + 90 = 180(14x) + (8x + 4)= 180  S = 9022x + 4= x= 176 x= 8 Answer: So, m  S = 90 and m  T = 8(8) + 4 or 68.

A.A B.B C.C D.D Example 5 48 INSIGNIAS An insignia is an emblem that signifies rank, achievement, membership, and so on. The insignia shown is a quadrilateral inscribed in a circle. Find m  N.