Objectives Find the measure of an inscribed angle.

Slides:

Advertisements

Similar presentations

11-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Advertisements

Solve an equation with variables on both sides

EXAMPLE 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.

Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.

10-3 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

10-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Warm Up Find each value. 1. mBCA 2. t Solve for x.

An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. An intercepted arc consists of endpoints that.

Vocabulary inscribed angle intercepted arc subtend.

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.

Inscribed angle and intercepted arc

Holt McDougal Geometry 4-8 Isosceles and Equilateral Triangles Prove theorems about isosceles and equilateral triangles. Apply properties of isosceles.

EXAMPLE 2 Rationalize denominators of fractions Simplify

Holt McDougal Geometry 11-4 Inscribed Angles Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems. Objectives.

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

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

MM2G3 Students will understand properties of circles. MM2G3 b Understand and use properties of central, inscribed, and related angles. MM2G3 d Justify.

Holt Geometry 11-4 Inscribed Angles 11-4 Inscribed Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.

Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.

Warm Up Solve. 1. 3x = = z – 100 = w = 98.6 x = 34 y = 225 z = 121 w = 19.5 y 15.

Use the substitution method

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

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

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:

Rewrite a linear equation

Objectives Find the measure of an inscribed angle.

EXAMPLE 2 Rationalize denominators of fractions Simplify

12-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Objectives Find the measure of an inscribed angle.

Vocabulary inscribed angle intercepted arc subtend.

Warm Up(On a Separate SHEET)

Rigor: Find the measure of an inscribed angle and use their properties to solve problems. Relevance: String Art.

Solving Two-Step Equations

Solve for variable 3x = 6 7x = -21

12-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

11.4 Inscribed Angles Geometry.

Inscribed Angles.

10.3 Inscribed Angles Unit IIIC Day 5.

4-9 Isosceles and Equilateral Triangles Warm Up Lesson Presentation

12.4 Inscribed Angles.

10.4 Vocabulary inscribed angle intercepted arc subtend

Warm Up Find each value. 1. mBCA 2. t 63.5° 116.5°

Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Warm Up Find each value. 1. mBCA 2. t Solve for x.

Solve an equation by combining like terms

Solving Systems Check Point Quiz Corrections

4-9 Isosceles and Equilateral Triangles Warm Up Lesson Presentation

Rigor: Find the measure of an inscribed angle and use their properties to solve problems. Relevance: String Art.

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

Solving Multi-Step Equations

11-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Warm Up Find each value. 1. mBCA 2. t Solve for x.

Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

12-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Subtract the same value on each side

12-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

12-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Sec Use Inscribed Angles and Polygons p

EOC No Calculator Packet

Learning Targets I will find the measure of an inscribed angle.

10.4 Vocabulary inscribed angle intercepted arc subtend

Circles and inscribed angles

Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Circles Unit 6: Lesson 3 Inscribed Angles Holt Geometry Texas ©2007

11-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Objectives Prove theorems about isosceles and equilateral triangles.

11-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Page ) 136.3° 21) 23) 237.7° 25) 152° 27) 155° 29) 147° 31) ) ) False 34) 35) True 38) 136° 39) 108° 9/27/2019 3:49 PM 11-3: Area of.

Presentation transcript:

Objectives Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems.

Example 1A: Finding Measures of Arcs and Inscribed Angles Find each measure. mPRU Inscribed  Thm. Substitute 118 for mPU.

Example 1B: Finding Measures of Arcs and Inscribed Angles Find each measure. mSP Inscribed  Thm. Substitute 27 for m SRP. Multiply both sides by 2.

Check It Out! Example 1a Find each measure. Inscribed  Thm. Substitute 135 for m ABC. Multiply both sides by 2.

Check It Out! Example 1b Find each measure. mDAE Inscribed  Thm. Substitute 76 for mDE.

Example 3B: Finding Angle Measures in Inscribed Triangles Find mLJM. mLJM = mLKM mLJM and mLKM both intercept LM. 5b – 7 = 3b Substitute the given values. 2b – 7 = 0 Subtract 3b from both sides. 2b = 7 Add 7 to both sides. b = 3.5 Divide both sides by 2. mLJM = 5(3.5) – 7 = 10.5 Substitute 3.5 for b.

Example 3A: Finding Angle Measures in Inscribed Triangles Find a. WZY is a right angle WZY is inscribed in a semicircle. mWZY = 90 Def of rt.  5a + 20 = 90 Substitute 5a + 20 for mWZY. 5a = 70 Subtract 20 from both sides. a = 14 Divide both sides by 5.

Example 4: Finding Angle Measures in Inscribed Quadrilaterals Find the angle measures of GHJK. Step 1 Find the value of b. mG + mJ = 180 GHJK is inscribed in a . 3b + 25 + 6b + 20 = 180 Substitute the given values. 9b + 45 = 180 Simplify. 9b = 135 Subtract 45 from both sides. b = 15 Divide both sides by 9.

Step 2 Find the measure of each angle. Example 4 Continued Step 2 Find the measure of each angle. mG = 3(15) + 25 = 70 Substitute 15 for b mJ = 6(15) + 20 = 110 in each expression. mK = 10(15) – 69 = 81 mH + mK = 180 H and K are supp. mH + 81 = 180 Substitute 81 for mK. mH = 99 Subtract 81 from both sides