Given: ZB is a right angle; AB || DE, Prove: ADEC is a right triangle. 1. Proof

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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hese proofs. (These are not indirect proofs.) Remember: You may
abbreviate the reasons if you like, but do not include the postulate
sing the theorems and the corollary from the previous pages, complete
or theorem numbers-they are for reference only
Given: ZB is a right angle; AB || DE.
Prove: ADEC is a right triangle.
4. Proof
Statements
1. ZBisa ight angle,bE.
Reasons
1. Given.
2. BC L ĀB.
2.
ヘヤ
3. BCI DE
3. If a line is I to one of two Il lines, then it is
the other also. (T. 8)
Det. of a rt.L.
s. Det ot a rtA.
4. ZDEC is a rt. 2.
4.
5. ADEC isa rti d
A.
Given: DE 1 BE; mZB = 90.
D
Prove: AB || DE.
E
5. Proof
Statements
Reasons
1. Given
1. DE1 BE:m/B=90.
2. LBIS art L
2. Definition of rt. 2.
3.
3. AB1 BE.
AB 1I DE
4. If two lines in a plane are each I to
then they are l to each other. (T. 7)
Correct mistakes.
A Score pages 5 and 6.
6.
Ship (Photo Courtesy of Florida Department of Commerce, Division of Toun
Transcribed Image Text:hese proofs. (These are not indirect proofs.) Remember: You may abbreviate the reasons if you like, but do not include the postulate sing the theorems and the corollary from the previous pages, complete or theorem numbers-they are for reference only Given: ZB is a right angle; AB || DE. Prove: ADEC is a right triangle. 4. Proof Statements 1. ZBisa ight angle,bE. Reasons 1. Given. 2. BC L ĀB. 2. ヘヤ 3. BCI DE 3. If a line is I to one of two Il lines, then it is the other also. (T. 8) Det. of a rt.L. s. Det ot a rtA. 4. ZDEC is a rt. 2. 4. 5. ADEC isa rti d A. Given: DE 1 BE; mZB = 90. D Prove: AB || DE. E 5. Proof Statements Reasons 1. Given 1. DE1 BE:m/B=90. 2. LBIS art L 2. Definition of rt. 2. 3. 3. AB1 BE. AB 1I DE 4. If two lines in a plane are each I to then they are l to each other. (T. 7) Correct mistakes. A Score pages 5 and 6. 6. Ship (Photo Courtesy of Florida Department of Commerce, Division of Toun
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