Question

Proving the Parallelogram Diagonal Theorem Given: ABCD is a parallelogram. Diagonals AC, BD intersect at E. Prove: AE ? CE and BE ? DE Angles Segments Triangles Statements Reasons ? || AB AE BC BE CD CE DA DE Statements 1. ABCD is a parallelogram 2. CD ? AB 3. AB || CD Reasons 1. given 2. parallelogram side theorem 3. def. of parallelogram Intro

          Proving the Parallelogram Diagonal Theorem
Given: ABCD is a parallelogram.
Diagonals AC, BD intersect at E.
Prove: AE ? CE and BE ? DE
Angles Segments Triangles Statements Reasons
? || AB AE BC BE CD CE DA DE
Statements
1. ABCD is a parallelogram
2. CD ? AB
3. AB || CD
Reasons
1. given
2. parallelogram side theorem
3. def. of parallelogram
Intro

Proving the Parallelogram Diagonal Theorem
Given: ABCD is a parallelogram.
Diagonals AC, BD intersect at E.
Prove: AE ? CE and BE ? DE
Angles Segments Triangles Statements Reasons
? || AB AE BC BE CD CE DA DE
Statements
1. ABCD is a parallelogram
2. CD ? AB
3. AB || CD
Reasons
1. given
2. parallelogram side theorem
3. def. of parallelogram
Intro

Added by Amanda R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Supreeta N

03/08/2023

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Given: ABCD is a parallelogram. Diagonals AC and BD intersect at E. Prove: AE ≅ CE and BE ≅ DE. Angles Segments Triangles Statements Reasons AB AE BC BE CE DA DE Statements: 1. ABCD is a parallelogram. 2. CD ≅ AB. 3. AB || CD. Reasons: 1. Given. 2. Parallelogram side theorem. 3. Definition of parallelogram.