Given: AE = BD; CD=CE B E Prove: AC = BC A

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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I need finding the proof.

9 Geometry: (S2 x
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-• 2.4-2.5 Practice Introduction to Geometry Proofs
Kimaya Artis
6 of 6
Next >
Proof #5 Challenge
+
BD = AC + CD
1
+
Feel free to use the hints below if you are really
stuck
Subtraction Property of Equality
Transitive Property of Equality
Hint 1
Given: AE = BD; CD = CE
BD = BC + CD
3
Prove: AC = BC
The Symmetric Property of Equality will be
used BEFORE Segment Addition Postulate
in Line #5
D
AC +CD = BD
1) AE = BD; CD = CE
1) Given
Segment Addition Postulate
Hint 2
2) AE = AC + CE
2)
3)
3) Symmetric Property of Equality O
5
AC + CD = BC + CD
The Subtraction Property of Equality will be
one of your last 2 steps.
4)
4)
5)
5) Segment Addition Postulate
6
6)
6)
7) AC = BC
7) Substitution Property of Equality
US
1
O 11:42
Transcribed Image Text:9 Geometry: (S2 x * Resources E Big Ideas Math x 2.4-2.5 Practic x b Verify Email Sy Geometry Calc x M [EXTERNAL] V X I need help wit + A student.desmos.com/activitybuilder/student/6031cab5a935c31bce424aa5#screenldx=6 E CPS Bookmarks S Home 8 school 2 RaiseMe s classes G grammarly Thesis Generator E Sailormoon Cardca.. * Edpuzzle W Lord of the flies O Lord of the Flies Wil. A c7skates >> -• 2.4-2.5 Practice Introduction to Geometry Proofs Kimaya Artis 6 of 6 Next > Proof #5 Challenge + BD = AC + CD 1 + Feel free to use the hints below if you are really stuck Subtraction Property of Equality Transitive Property of Equality Hint 1 Given: AE = BD; CD = CE BD = BC + CD 3 Prove: AC = BC The Symmetric Property of Equality will be used BEFORE Segment Addition Postulate in Line #5 D AC +CD = BD 1) AE = BD; CD = CE 1) Given Segment Addition Postulate Hint 2 2) AE = AC + CE 2) 3) 3) Symmetric Property of Equality O 5 AC + CD = BC + CD The Subtraction Property of Equality will be one of your last 2 steps. 4) 4) 5) 5) Segment Addition Postulate 6 6) 6) 7) AC = BC 7) Substitution Property of Equality US 1 O 11:42
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