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3. Given: In Quadrilateral ACDE, LEAB = LEBA, AE = CD and BC = DE. Prove: BCDE is a parallelogram. E B STATEMENTS 1. LEAB = LEBA 2. AE = BE 3. BE = CD 4. BCDE is a parallelogram D C Which statement on be u d to iuoti REASONS 1. Given 2. Converse of the isosceles triangle theorem 3. Substitution Property 4. ? this proof?

3. Given: In Quadrilateral ACDE, LEAB = LEBA, AE = CD and BC = DE. Prove: BCDE is a parallelogram. E B STATEMENTS 1. LEAB = LEBA 2. AE = BE 3. BE = CD 4. BCDE is a parallelogram D C Which statement on be u d to iuoti REASONS 1. Given 2. Converse of the isosceles triangle theorem 3. Substitution Property 4. ? this proof?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 32E
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3. Given: In Quadrilateral ACDE, LEAB = LEBA, AE = CD and BC = DE Prove: BCDE is a parallelogram. E B STATEMENTS 1. LEAB = LEBA 2. AE = BE 3. BE = CD 4. BCDE is a parallelogram D REASONS 1. Given 2. Converse of the isosceles triangle theorem 3. Substitution Property 4. ? Which statement can be used to justify Step 4 in this proof?
Transcribed Image Text:3. Given: In Quadrilateral ACDE, LEAB = LEBA, AE = CD and BC = DE Prove: BCDE is a parallelogram. E B STATEMENTS 1. LEAB = LEBA 2. AE = BE 3. BE = CD 4. BCDE is a parallelogram D REASONS 1. Given 2. Converse of the isosceles triangle theorem 3. Substitution Property 4. ? Which statement can be used to justify Step 4 in this proof?
Which statement can be used to justify Step 4 in this proof? If both pairs of opposite angles in a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.
Transcribed Image Text:Which statement can be used to justify Step 4 in this proof? If both pairs of opposite angles in a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.
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