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Learning Task 1 : In your answer sheet, copy and answer. Given : ΔΑBC is inscribed in ©D Prove :

Learning Task 1 : In your answer sheet, copy and answer. Given : ΔΑBC is inscribed in ©D Prove :

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Help my identify number 1-5, illustrative example 5 for example answers, TYSM!

Illustrative Example 6 Find the missing measure. K a. m HJ = 110° and m Lj = 150º m <*: b. m = 160° 可 and m <K = 30° Solution: a. m <K - ;(mL] – mHj) TAWARAS b. m <* - (mLj – mHj) 30° = (160° – x) - (150° – 110°) DUKAS (40°) ZK = 20º 60° = 160° – x x = 100° ENGAGEMENT Learning Task 1 : In your answer sheet, copy and answer. Given : ДАВС is inscribed in °D ZABC Prove : is a right angle STATEMENT REASON 1. (1) Given 2. m АЕС + m АВС 3600 (2) CA 3. is diameter of ºD (3) AEC -m ABC 3. m The diameter divides the circle into 1800 semicircle MZABC 4. АЕС m (4) MZABC 5. ( 180°) From 3 and 4, substitution. ZABC 6. is a right angle (5)
Transcribed Image Text:Illustrative Example 6 Find the missing measure. K a. m HJ = 110° and m Lj = 150º m <*: b. m = 160° 可 and m <K = 30° Solution: a. m <K - ;(mL] – mHj) TAWARAS b. m <* - (mLj – mHj) 30° = (160° – x) - (150° – 110°) DUKAS (40°) ZK = 20º 60° = 160° – x x = 100° ENGAGEMENT Learning Task 1 : In your answer sheet, copy and answer. Given : ДАВС is inscribed in °D ZABC Prove : is a right angle STATEMENT REASON 1. (1) Given 2. m АЕС + m АВС 3600 (2) CA 3. is diameter of ºD (3) AEC -m ABC 3. m The diameter divides the circle into 1800 semicircle MZABC 4. АЕС m (4) MZABC 5. ( 180°) From 3 and 4, substitution. ZABC 6. is a right angle (5)
Illustrative Example 5 AD BF and intersecting within OC Given: Chords <FED (mAB + mFD) Prove: m STATEMENTS REASON AD BF Given 1. Chords OC and intersecting within By construction and definition of chords Definition of an exterior angle and its remote interior angles AF and BD 2. Construct chords ZFED 3. is an exterior angle of AEAF. ZEAF ZAFE and are its remote interior 4 M²FED = mZEAF + m£AFE The remote interior theorem Definition of inscribed angle ZEAF 5. and ZAFE are inscribed angles 6. MZEAF_ (m AB) The measure of the inscribed angle is half its intercepted arc. | (m AB) , (m FD) From 4 and 6, Substitution 7. By factoring 8. MZFED .(mĀB + m FD) AS
Transcribed Image Text:Illustrative Example 5 AD BF and intersecting within OC Given: Chords <FED (mAB + mFD) Prove: m STATEMENTS REASON AD BF Given 1. Chords OC and intersecting within By construction and definition of chords Definition of an exterior angle and its remote interior angles AF and BD 2. Construct chords ZFED 3. is an exterior angle of AEAF. ZEAF ZAFE and are its remote interior 4 M²FED = mZEAF + m£AFE The remote interior theorem Definition of inscribed angle ZEAF 5. and ZAFE are inscribed angles 6. MZEAF_ (m AB) The measure of the inscribed angle is half its intercepted arc. | (m AB) , (m FD) From 4 and 6, Substitution 7. By factoring 8. MZFED .(mĀB + m FD) AS
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