10.3 Using Chords - WordPress.com · 2018. 6. 10. · Theorem 10.6 Congruent Corresponding Chords...

4
10.3 Using Chords Recall: What is a chord? 2 Theorems and a converse! Example 1: Using Congruent Chords to Find an Arc Measure In the diagram ⨀" ≅ ⨀$, &' ≅ (), and measure of arc () = 80 . . Find measure of arc FG. Example 2: Using a Diameter a) Find HK b) Find measure of arc HK

Transcript of 10.3 Using Chords - WordPress.com · 2018. 6. 10. · Theorem 10.6 Congruent Corresponding Chords...

Page 1: 10.3 Using Chords - WordPress.com · 2018. 6. 10. · Theorem 10.6 Congruent Corresponding Chords Theorem In the same circle, or in congruent circles, two minor arcs are congruent

10.3UsingChordsRecall:Whatisachord?2Theoremsandaconverse!Example1:UsingCongruentChordstoFindanArcMeasureInthediagram⨀" ≅ ⨀$, &' ≅ (),andmeasureofarc() = 80..FindmeasureofarcFG.Example2:UsingaDiameter

a) FindHK

b) FindmeasureofarcHK

Page 2: 10.3 Using Chords - WordPress.com · 2018. 6. 10. · Theorem 10.6 Congruent Corresponding Chords Theorem In the same circle, or in congruent circles, two minor arcs are congruent

Example3:RealWorldApplicationsThreebushesareaarrangedinagarden,asshown.Whereshouldyouplaceasprinklerthatisthesamedistancefromeachbush?

Example4:UsingCongruentChordstoFindaCirclesRadiusInthediagram,$/ = 01 = 16, 45 = 27, 89:4; = 57 − 9.Findtheradiusof⨀4.Homework:3,5,7,9,13,14,15,16

Page 3: 10.3 Using Chords - WordPress.com · 2018. 6. 10. · Theorem 10.6 Congruent Corresponding Chords Theorem In the same circle, or in congruent circles, two minor arcs are congruent
Page 4: 10.3 Using Chords - WordPress.com · 2018. 6. 10. · Theorem 10.6 Congruent Corresponding Chords Theorem In the same circle, or in congruent circles, two minor arcs are congruent

Proving Triangles Congruent - White Plains Middle … Triangles Congruent ... 6:7. Find the angle measures of the triangle. 7. ... always the last step of a proof! Theorem: ...

Proving Triangles Congruent - White Plains Middle … Triangles Congruent ... 6:7. Find the angle measures of the triangle. 7. ... always the last step of a proof! Theorem: ...

NCERT Math Class 9 Chapter 10-CIRCLES · 4 Exercise 10.2 Question 1: Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles

NCERT Math Class 9 Chapter 10-CIRCLES · 4 Exercise 10.2 Question 1: Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles

8.3 Congruent and parallel chords€¦ · 8.3 Circles: Congruent and parallel chords and their intercepted arcs Geometry Regents 2013-2014 Ms. Lomac SLO: I can identify relationships

8.3 Congruent and parallel chords€¦ · 8.3 Circles: Congruent and parallel chords and their intercepted arcs Geometry Regents 2013-2014 Ms. Lomac SLO: I can identify relationships

Mrs. Samuelian CAHSEE Prep CONGRUENT FIGURES & PYTHAGOREAN THEOREM.

Mrs. Samuelian CAHSEE Prep CONGRUENT FIGURES & PYTHAGOREAN THEOREM.

April 09 2014 A2T.GWB - 1/11 - Wed Apr 09 2014 14:42:19...SWBAT: Apply the relationships between congruent chords of a circle Summary Theorem: Tn a circle, or congruent circles, congruent

April 09 2014 A2T.GWB - 1/11 - Wed Apr 09 2014 14:42:19...SWBAT: Apply the relationships between congruent chords of a circle Summary Theorem: Tn a circle, or congruent circles, congruent

Triangle Inequality Notes. Triangle Inequality Theorem Scalene triangle: A triangle that has no congruent (equal) sides. None of their angles are congruent.

Triangle Inequality Notes. Triangle Inequality Theorem Scalene triangle: A triangle that has no congruent (equal) sides. None of their angles are congruent.

hhsdawson.weebly.com...Congruent chords have congruent arcs. Congruent arcs have congruent central angles. Hypothesis *hen DB CA DB CA DB c. Example: Find the measure of arc HY and

hhsdawson.weebly.com...Congruent chords have congruent arcs. Congruent arcs have congruent central angles. Hypothesis *hen DB CA DB CA DB c. Example: Find the measure of arc HY and

Block 1 · Web viewPythagoras’ Theorem The Theorem 2D and 3D Shapes 3D Shapes Plans & Elevations Volume Cuboids Prisms Cylinders Volume Scale Factor Congruency Congruent Triangles

Block 1 · Web viewPythagoras’ Theorem The Theorem 2D and 3D Shapes 3D Shapes Plans & Elevations Volume Cuboids Prisms Cylinders Volume Scale Factor Congruency Congruent Triangles

Chapter 10mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019. 11. 29. · Theorem 10.3: In the same circle, or in congruent circles, two minor arcs are congruent if

Chapter 10mrssowatskysmath.weebly.com/uploads/1/3/3/0/13301598/... · 2019. 11. 29. · Theorem 10.3: In the same circle, or in congruent circles, two minor arcs are congruent if

Congruent Triangles - Angelfirebaylorprincetondad.angelfire.com/Chapter4/section03/Hmwk_4_3.pdf · To identify corresponding parts of congruent triangles, ... Third Angles Theorem

Congruent Triangles - Angelfirebaylorprincetondad.angelfire.com/Chapter4/section03/Hmwk_4_3.pdf · To identify corresponding parts of congruent triangles, ... Third Angles Theorem

Geometry Unit 5 · 2018. 9. 1. · Proving Triangles Congruent •State which postulate, or theorem, you can use to prove that these triangles are congruent. Explain using the sentence

Geometry Unit 5 · 2018. 9. 1. · Proving Triangles Congruent •State which postulate, or theorem, you can use to prove that these triangles are congruent. Explain using the sentence

Congruent Figures - Weeblystatement can be used to prove the triangles congruent? ... Which theorem or postulate will prove ˜ZWR ˛ ˜YRX? SAS SSS ASA AAS Short Response 6. In the

Congruent Figures - Weeblystatement can be used to prove the triangles congruent? ... Which theorem or postulate will prove ˜ZWR ˛ ˜YRX? SAS SSS ASA AAS Short Response 6. In the

To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles.

To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles.

Chapter 2 Angles - Hanlon Mathhanlonmath.com/pdfFiles/geometry/Ch 3 Angles.pdf · Theorem If two angles are complementary to two congruent angles, then they are congruent to each

Chapter 2 Angles - Hanlon Mathhanlonmath.com/pdfFiles/geometry/Ch 3 Angles.pdf · Theorem If two angles are complementary to two congruent angles, then they are congruent to each

Daily Check. Homework Review How do you know when two chords are congruent? LP PM ALP = BMP = 90 a.corresponding arcs are congruent A B C D M L P b.

Daily Check. Homework Review How do you know when two chords are congruent? LP PM ALP = BMP = 90 a.corresponding arcs are congruent A B C D M L P b.

S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!

S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!

Theorem 12-4: In the same circle (or congruent circles), congruent central angles create congruent intercepted arcs. then AB CD. If m CQD m BQA,

Theorem 12-4: In the same circle (or congruent circles), congruent central angles create congruent intercepted arcs. then AB CD. If m CQD m BQA,

Congruent triangles theorem

Congruent triangles theorem

GEOMETRY: Chapter 10 10.2: Chords#2. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 664. Theorem 10.4 In the same circle, or in congruent.

GEOMETRY: Chapter 10 10.2: Chords#2. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 664. Theorem 10.4 In the same circle, or in congruent.

2-6 Proving Statements about Segments Given: AC = BD Prove ... · Congruent Complements Theorem: Congruent Supplements Theorem: If two angles are complementary to the same angle (or

2-6 Proving Statements about Segments Given: AC = BD Prove ... · Congruent Complements Theorem: Congruent Supplements Theorem: If two angles are complementary to the same angle (or