Theorem 9-4

6
Theorem 9-4 Theorem 9-4 •In the same circle (or congruent circles) –Congruent arcs have congruent chords. –Congruent chords have congruent arcs.

description

Theorem 9-4. In the same circle (or congruent circles) Congruent arcs have congruent chords. Congruent chords have congruent arcs. If arc AB is congruent to arc BC, then segment AB is congruent to segment BC The converse is true also…. Example. A. B. C. D. Theorem 9-5. - PowerPoint PPT Presentation

Transcript of Theorem 9-4

Page 1: Theorem 9-4

Theorem 9-4Theorem 9-4

•In the same circle (or congruent circles)–Congruent arcs have congruent chords.–Congruent chords have congruent arcs.

Page 2: Theorem 9-4

ExampleExample• If arc AB is congruent to arc BC, then segment AB is congruent to segment BC

• The converse is true also…

A

B C

D

Page 3: Theorem 9-4

Theorem 9-5Theorem 9-5

•A diameter that is perpendicular to a chord bisects the chord and its arc.

Page 4: Theorem 9-4

ExampleExample• If CD is perpendicular to AB, then – AZ is cong to BZ– Arc AD is cong to Arc BD

A

B

C

D

Z

Page 5: Theorem 9-4

Try this one…Try this one…• Given: • EF=10• AZ=5

• Find ZB• Find arc DB

A

B

C

D

Z

E

F€

86°

€

CD⊥AB

Page 6: Theorem 9-4

Theorem 9-6Theorem 9-6

•In the same circle (or in congruent circles)–Chords equally distant from the center are congruent.–Congruent chords are equally distant from the center.


An inversion theorem for labeled trees and some limits of areas …gessel/homepage/... · 2008. 7. 4. · 1.3. Main theorem 9 1.4. Basic examples 15 1.5. Series-parallel networks

An inversion theorem for labeled trees and some limits of areas …gessel/homepage/... · 2008. 7. 4. · 1.3. Main theorem 9 1.4. Basic examples 15 1.5. Series-parallel networks

4-8 The Pythagorean Theorem 0806.4.1 Use and apply the Pythagorean Theorem to solve contextual problems The Pythagorean Theorem.

4-8 The Pythagorean Theorem 0806.4.1 Use and apply the Pythagorean Theorem to solve contextual problems The Pythagorean Theorem.

Euler’s partition theorem and the combinatorics of -sequencesEuler’s partition theorem. Theorem 1 (The ‘-Euler Theorem [9]) For integer ‘ ‚ 2, deflne the sequence fa(‘)

Euler’s partition theorem and the combinatorics of -sequencesEuler’s partition theorem. Theorem 1 (The ‘-Euler Theorem [9]) For integer ‘ ‚ 2, deflne the sequence fa(‘)

ELECTRICAL TECHNOLOGY LAB · 2. to verify thevenin’s theorem 7-9 3. to verify nortan’s theorem 10-12 4. to verify reciprocity theorem 13-14 5. to verify maximum power transfer

ELECTRICAL TECHNOLOGY LAB · 2. to verify thevenin’s theorem 7-9 3. to verify nortan’s theorem 10-12 4. to verify reciprocity theorem 13-14 5. to verify maximum power transfer

Square Roots Lesson 4 Pythagoras’ theorem

Square Roots Lesson 4 Pythagoras’ theorem

Poly Patterns and the Pythagorean Theorem Notesmrscretaro.weebly.com/uploads/9/4/0/1/9401722/poly... · Converse to the Pythagorean Theorem: If the lengths a, b, c of the sides of

Poly Patterns and the Pythagorean Theorem Notesmrscretaro.weebly.com/uploads/9/4/0/1/9401722/poly... · Converse to the Pythagorean Theorem: If the lengths a, b, c of the sides of

Lagrange’s Theorem - Cornell Universitypi.math.cornell.edu/~apatotski/IHS2015/Lecture 9.pdf · 2015. 12. 8. · Applications of Lagrange’s Theorem Theorem For any integers n 0

Lagrange’s Theorem - Cornell Universitypi.math.cornell.edu/~apatotski/IHS2015/Lecture 9.pdf · 2015. 12. 8. · Applications of Lagrange’s Theorem Theorem For any integers n 0

Basic Elements instrumentation - SCTEVT · 2019. 10. 4. · Superposition Theorem, Millman Theorem, Reciprocity Theorem-Statement, Explanation & applications 2.3 Solve numerical problems

Basic Elements instrumentation - SCTEVT · 2019. 10. 4. · Superposition Theorem, Millman Theorem, Reciprocity Theorem-Statement, Explanation & applications 2.3 Solve numerical problems

3. 4. 5. 8. Thevenin's theorem and Norton's theorem ...

3. 4. 5. 8. Thevenin's theorem and Norton's theorem ...

UNIT 9 – PYTHAGORAS’ THEOREM

UNIT 9 – PYTHAGORAS’ THEOREM

1 Chapter 12 Bond Selection. 2 Malkiel’s Interest Rate Theorems u Definition u Theorem 1 u Theorem 2 u Theorem 3 u Theorem 4 u Theorem 5.

1 Chapter 12 Bond Selection. 2 Malkiel’s Interest Rate Theorems u Definition u Theorem 1 u Theorem 2 u Theorem 3 u Theorem 4 u Theorem 5.

Measurement and geometryPythagoras’ theorem and …-+ch+1+Pythagoras.… · Measurement and geometryPythagoras’ theorem and surds ... Pythagoras’ theorem is a Year 9 ... •

Measurement and geometryPythagoras’ theorem and …-+ch+1+Pythagoras.… · Measurement and geometryPythagoras’ theorem and surds ... Pythagoras’ theorem is a Year 9 ... •

4: Parseval’s Theorem and Convolution · Convolution •Parseval’s Theorem (a.k.a. Plancherel’s Theorem) •Power Conservation •Magnitude Spectrum and Power Spectrum •Product

4: Parseval’s Theorem and Convolution · Convolution •Parseval’s Theorem (a.k.a. Plancherel’s Theorem) •Power Conservation •Magnitude Spectrum and Power Spectrum •Product

Kolmogorov Superposition Theorem and its application to … · 2020. 4. 9. · Kolmogorov Superposition Theorem and its application to multivariate function decompositions and image

Kolmogorov Superposition Theorem and its application to … · 2020. 4. 9. · Kolmogorov Superposition Theorem and its application to multivariate function decompositions and image

1 Mathe III Lecture 9 Mathe III Lecture 9. 2 Envelope Theorem.

1 Mathe III Lecture 9 Mathe III Lecture 9. 2 Envelope Theorem.

4 Superposition Reciprocity Theorem

4 Superposition Reciprocity Theorem

Chapter 3 Circles Theorem notes - Maths SMCcoremaths.webs.com/Form 4/Chapter 3 Circles Theorem notes.pdf · Circle Theorems Form 4 1 Chapter 3 Circles Theorem ... giving reasons for

Chapter 3 Circles Theorem notes - Maths SMCcoremaths.webs.com/Form 4/Chapter 3 Circles Theorem notes.pdf · Circle Theorems Form 4 1 Chapter 3 Circles Theorem ... giving reasons for

M8 lesson 2 4 pythagorean theorem

M8 lesson 2 4 pythagorean theorem

Solveeachproportion. 1. 2. &&&&4.athsauhmath.weebly.com/uploads/2/8/5/9/28591589/7... · 9.5 3.8 QR - 4.2 . Theorem 7-4-1 Triangle Proportionality Theorem THEOREM If a line parallel

Solveeachproportion. 1. 2. &&&&4.athsauhmath.weebly.com/uploads/2/8/5/9/28591589/7... · 9.5 3.8 QR - 4.2 . Theorem 7-4-1 Triangle Proportionality Theorem THEOREM If a line parallel

CONTENTS Sr.No TITLE Page No. 1. TO VERIFY KVL AND KCL LAW 3-6 2. TO VERIFY THEVENIN’S THEOREM 7-9 3. TO VERIFY NORTAN’S THEOREM 10-12 4. TO VERIFY RECIPROCITY THEOREM 13-14 5.

CONTENTS Sr.No TITLE Page No. 1. TO VERIFY KVL AND KCL LAW 3-6 2. TO VERIFY THEVENIN’S THEOREM 7-9 3. TO VERIFY NORTAN’S THEOREM 10-12 4. TO VERIFY RECIPROCITY THEOREM 13-14 5.