draftiestgem454 draftiestgem454

14-10-2021
Mathematics

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What are the reasons for these statements

Given: BC=EC; CA=CD
Prove: BA=DE

Statements
1. BC = EC
2. CA = CD
3. CA + BC = BA
4. CA + EC = BA
5. CA + EC = DE
6. CA + EC = DE
7. BA = DE

Word bank:
Angle addition postulate
Segment addition postulate
Substitution postulate
Definition of vertical angles
Definition of Complementary angles
Definition of ⊥ lines
Addition property of equality
Subtraction property of equality
Transitive property

What are the reasons for these statements Given BCEC CACD Prove BADE Statements 1 BC EC 2 CA CD 3 CA BC BA 4 CA EC BA 5 CA EC DE 6 CA EC DE 7 BA DE Word bank An class=

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moelamarre moelamarre

14-10-2021

think of two lines BE and AD that intersect at C and makes triangles BAC and EDC since angles BCA and ECD are equal by opposite angle thereom. and given BC=EC, CA=CD there the triangles are equal and side BA=ED

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