11-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz

Slides:



Advertisements
Similar presentations
Solving Systems by Elimination
Advertisements

Section 6.4 Inscribed Polygons
Angle Relationships in Triangles
Worksheets.
Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = x 1 = x 1 = 12 X 2 1.
Division ÷ 1 1 ÷ 1 = 1 2 ÷ 1 = 2 3 ÷ 1 = 3 4 ÷ 1 = 4 5 ÷ 1 = 5 6 ÷ 1 = 6 7 ÷ 1 = 7 8 ÷ 1 = 8 9 ÷ 1 = 9 10 ÷ 1 = ÷ 1 = ÷ 1 = 12 ÷ 2 2 ÷ 2 =
Dividing Polynomials 6-3 Warm Up Lesson Presentation Lesson Quiz
5-4 Completing the Square Warm Up Lesson Presentation Lesson Quiz
7-3 Angles in Triangles Warm Up Problem of the Day Lesson Presentation
1 1  1 =.
1  1 =.
2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Time Money AdditionSubtraction.
MULTIPLICATION EQUATIONS 1. SOLVE FOR X 3. WHAT EVER YOU DO TO ONE SIDE YOU HAVE TO DO TO THE OTHER 2. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE.
Arcs and Chords Warm Up Lesson Presentation Lesson Quiz
8 2.
Solving Equations by Adding or Subtracting Warm Up Lesson Presentation
9-8 Completing the Square Warm Up Lesson Presentation Lesson Quiz
Preview Warm Up California Standards Lesson Presentation.
ANALYTICAL GEOMETRY ONE MARK QUESTIONS PREPARED BY:
Resistência dos Materiais, 5ª ed.
Geometry—Ch. 11 Review 1) A line which intersects a circle in two points is called a ________________. 2) A segment which has one endpoint at the center.
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.
12.3 Inscribed Angles. Vocab: inscribed angle - an angle whose vertex is on a circle and whose sides are chords
Vocabulary inscribed angle intercepted arc subtend.
Inscribed angle and intercepted arc
4-8 Isosceles and Equilateral Triangles Warm Up Lesson Presentation
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.
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.
Circles.
GEOMETRY INSCRIBED ANGLES Unit 6-2. Central angles A __________ ____________ is an angle whose vertex is at the center of a circle with sides that are.
Objectives Find the measure of an inscribed angle.
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.
12-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz
11.4 Inscribed Angles Geometry.
4-9 Isosceles and Equilateral Triangles Warm Up Lesson Presentation
12.4 Inscribed Angles.
Inscribed Angles Notes and Examples.
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.
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.
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
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
Objectives Find the measure of an inscribed angle.
Learning Targets I will find the measure of an inscribed angle.
10.4 Vocabulary inscribed angle intercepted arc subtend
Inscribed Angles Warm Up Lesson Presentation Lesson Quiz
Circles Unit 6: Lesson 3 Inscribed Angles Holt Geometry Texas ©2007
LT 11.5: Use Inscribed Angles and their Properties to Solve Problems
11-4 Inscribed Angles Warm Up Lesson Presentation Lesson Quiz
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:

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

Warm Up Find each value. 1. mBCA 2. t Solve for x. 3. 58 – x = 4 (x + 7) 4. 2 (x – 8) = 8 63.5° 116.5° 6 12

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

Vocabulary inscribed angle intercepted arc subtend

String art often begins with pins or nails that are placed around the circumference of a circle. A long piece of string is then wound from one nail to another. The resulting pattern may include hundreds of inscribed angles.

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 lie on the sides of an inscribed angle and all the points of the circle between them. A chord or arc subtends an angle if its endpoints lie on the sides of the angle.

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 2: Hobby Application An art student turns in an abstract design for his art project. Find mDFA. mDFA = mDCF + mCDF Ext  Thm. Inscribed  Thm. Substitute. Simplify. = 115°

Check It Out! Example 2 Find mABD and mBC in the string art. Inscribed  Thm. Substitute. = 43 Inscribed  Thm. Substitute.

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 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.

Check It Out! Example 3a Find z. 8z – 6 = 90 Substitute. ABC is a right angle ABC is inscribed in a semicircle. mABC = 90 Def of rt.  8z – 6 = 90 Substitute. 8z = 96 Add 6 to both sides. z = 12 Divide both sides by 8.

2x + 3 = 75 – 2x Substitute the given values. Check It Out! Example 3b Find mEDF. mEDF = mEGF mEGF and mEDF both intercept EF. 2x + 3 = 75 – 2x Substitute the given values. 4x = 72 Add 2x and subtract 3 from both sides. x = 18 Divide both sides by 4. mEDF = 2(18) + 3 = 39°

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

Find the angle measures of JKLM. Check It Out! Example 4 Find the angle measures of JKLM. Step 1 Find the value of b. mM + mK = 180 JKLM is inscribed in a . 4x – 13 + 33 + 6x = 180 Substitute the given values. 10x + 20 = 180 Simplify. 10x = 160 Subtract 20 from both sides. x = 16 Divide both sides by 10.

Check It Out! Example 4 Continued Find the angle measures of JKLM. Step 2 Find the measure of each angle. mM = 4(16) – 13 = 51 mK = 33 + 6(16) = 129 mJ = 360 – 252 = 108

Lesson Quiz: Part I Find each measure. 1. RUS 2. a 25° 3

Lesson Quiz: Part II 3. A manufacturer designs a circular ornament with lines of glitter as shown. Find mKJN. 130° 4. Find the angle measures of ABCD. m A = 95° m B = 85° m C = 85° m D = 95°