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Statements Point is on AC 1. ZD, ZE, and ZDRE are right angles 2. m2D-m/E-m/DBE-90° 3. m/A+MZD+m/ABD=180° m/C+m/E+CHE=180° 4. in/ARD DRE/CRE-180° m/A+90°+m/ARD-180° 5. m/C+90°+m/CBE-180 m/ABD+90° +m/CBE-180° MZA+MZABD-90° 6. m2C+mZCBE-90° MLABD+MCBE-90 7. LA and LABD are complementary LC and ZCBE are complementary ZABD and ZCBE are complementary ZA=2CBE 8. ZC=LABD 9. AADB-ABEC Reasons Given Definition of right angle Substitution Subtraction property of equality Definition of complementary

Statements Point is on AC 1. ZD, ZE, and ZDRE are right angles 2. m2D-m/E-m/DBE-90° 3. m/A+MZD+m/ABD=180° m/C+m/E+CHE=180° 4. in/ARD DRE/CRE-180° m/A+90°+m/ARD-180° 5. m/C+90°+m/CBE-180 m/ABD+90° +m/CBE-180° MZA+MZABD-90° 6. m2C+mZCBE-90° MLABD+MCBE-90 7. LA and LABD are complementary LC and ZCBE are complementary ZABD and ZCBE are complementary ZA=2CBE 8. ZC=LABD 9. AADB-ABEC Reasons Given Definition of right angle Substitution Subtraction property of equality Definition of complementary

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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Question

A:triangle sum theorem

B: angle addition postulate with angles forming a straight angle

C: linear pair postulate

D: definition of supplementary

 

 

 

 

Reasons Given Definition of right angle Substitution m/ABD+90°+m/CBE-180° Subtraction property of equality MLABD+MZCBE-90° ZA and LABD are complementary ZC and ZCBE are complementary ZABD and ZCBE are complementary Definition of complementary ZA=ZCBE ZC=ZLABD AADB-ABEC A triangle sum theorem B angle addition postulate with angles forming a straight angle C linear pair postulate Statements Point is on AC 1. ZD, ZE, and /DBE are right angles 2. m/D-m/E-m/DBE-90° 3. m/A+MZD+m/ABD=180° m/C+m/E+m/CRE=180° 4. m/ABD m/DBE m/CBF-180° m/A+90° +m/ABD-180° 5. m/C+90°+m/CBE-180° MA+MABD-90⁰ 6. M/C+M/CBE-90 7. 8. 9.
Transcribed Image Text:Reasons Given Definition of right angle Substitution m/ABD+90°+m/CBE-180° Subtraction property of equality MLABD+MZCBE-90° ZA and LABD are complementary ZC and ZCBE are complementary ZABD and ZCBE are complementary Definition of complementary ZA=ZCBE ZC=ZLABD AADB-ABEC A triangle sum theorem B angle addition postulate with angles forming a straight angle C linear pair postulate Statements Point is on AC 1. ZD, ZE, and /DBE are right angles 2. m/D-m/E-m/DBE-90° 3. m/A+MZD+m/ABD=180° m/C+m/E+m/CRE=180° 4. m/ABD m/DBE m/CBF-180° m/A+90° +m/ABD-180° 5. m/C+90°+m/CBE-180° MA+MABD-90⁰ 6. M/C+M/CBE-90 7. 8. 9.
MULTIPLE CHOICE Question 7 What is the reason for the statement in step 4? Given: B is a point on AC and ZD, ZE, and ZDBE are right angles. Prove: Δ ADB ~ Δ BEC E A B Statements Reasons C
Transcribed Image Text:MULTIPLE CHOICE Question 7 What is the reason for the statement in step 4? Given: B is a point on AC and ZD, ZE, and ZDBE are right angles. Prove: Δ ADB ~ Δ BEC E A B Statements Reasons C
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