Complete the two-column proof by filling in the missing sections of the table. Given: Triangle ACDSegment BE is parallel to segment CD.Prove: Segment BE divides the sides of the triangle proportionally.StatementReason1. ∆ABC1. Given2. BE ║ CD2.3. ∠AEB ≅ ∠ADC3. Corresponding angles postulate4. ∠ABE ≅ ∠ACD4. Corresponding angles postulate5. ∠A ≅ ∠A5. Reflexive property6. ∆ACD ≈ ∆ABE6. AA similarity postulate7.7. Definition of similarity8. AD = AE + ED AC = BC + AB8.9. = 9. Substitution property10. + = + 10. Denominator addition property11.11. Simplify12. = 12.

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Answered: Complete the two-column proof by…

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.3: Informal Geometry And Measurement

Problem 29E: On a piece of paper, use your compass to construct a triangle that has two sides of the same length....

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Question

Complete the two-column proof by filling in the missing sections of the table.

Given: Triangle ACD

Segment BE is parallel to segment CD.

Prove: Segment BE divides the sides of the triangle proportionally.

Statement	Reason
1. ∆ABC	1. Given
2. BE ║ CD	2.
3. ∠AEB ≅ ∠ADC	3. Corresponding angles postulate
4. ∠ABE ≅ ∠ACD	4. Corresponding angles postulate
5. ∠A ≅ ∠A	5. Reflexive property
6. ∆ACD ≈ ∆ABE	6. AA similarity postulate
7.	7. Definition of similarity
8. AD = AE + ED AC = BC + AB	8.
9. =	9. Substitution property
10. + = +	10. Denominator addition property
11.	11. Simplify
12. =	12.