Given a parallelogram `ABCD.` Complete each statement along with the definition or property used…
Given a parallelogram `ABCD.` Complete each statement along with the definition or property used…

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Given: ABCD is a parallelogram.
Prove: AB = CD and BC = DA
Answers are in the image.
Proving the Parallelogram Side Theorem
Given: ABCD is a parallelogram
Prove: AB = CD and BC = DA
Angles Segment Statements Reasoning
LBAC
LBCA
LDAC
LDCA
Statements:
1. ABCD is a parallelogram
2. AB || CD (draw AC)
3. LBCA and LDAC are alternate interior angles
4. LBCA = LDAC (alternate interior angles theorem)
5. LBCA and LBAC are alternate interior angles
6. LDAC and LDCA are alternate interior angles
7. AB = CD (corresponding angles are congruent)
8. BC = DA (corresponding angles are congruent)
This proof is complete.
Intro
Final
10 or 16
MacBook Air

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02:19

Anyone got answers? Need help proving the Parallelogram Diagonal Theorem.

Given: ABCD is a parallelogram. Diagonals AC and BD intersect at E.Prove: AE = CE and BE = DE.

Angles Segments Triangles Statements ReasonsABAEBCBECEDADE

Statements:1. ABCD is a parallelogram.2. CD = AB.3. AB || CD.

Reasons:1. Given.2. Parallelogram side theorem.3. Definition of parallelogram.

Correctly assemble the next statement.

Intro

02:56

Given: ABCD is a parallelogramProve: AB = CD and BC = DA

Move statements and reasons to the table to complete the proof:

Statements Reasons————————————————–ABCD is a parallelogram GivenDA || BC and AB || CD Definition of a parallelogram∠ACD ≅ ∠CAB and ∠BCA ≅ ∠DAB Alternate interior angles theoremAC = AC Reflexive propertyAB = CD and BC = DA CPCTC (Corresponding Parts of Congruent Triangles are Congruent)∠DAC ≅ ∠CAB ASA (Angle-Side-Angle)∠BCH ≅ ∠CDA ASA (Angle-Side-Angle)∠BAC ≅ ∠BCD Vertical angles are congruent∠ARD ≅ ∠BCD Vertical angles are congruent

04:16

Please Help!!

Given: ABCD is a parallelogram.Prove: AB is congruent to CD and BC is congruent to DA.Proving the Parallelogram Side Theorem

Given: ABCD is a parallelogram Prove: AB = CD and BC = DA

Angles Segments Angles Statements ReasonsLBACLBCALDACLDCA

StatementsReasonsHintIntro

02:49

Given: ABCD is a parallelogramProve: ∠BCD ≅ ∠DAB

Statement Reason 1. ABCD is a parallelogram Given 2. ∠BCD ≅ ∠DAB Alternate interior angles of a parallelogram are congruent 3. ∠LADB = ∠LDBC; ∠LABD = ∠LDCB Corresponding angles of a parallelogram are congruent 4. ∠BCD ≅ ∠DAB Transitive property of congruence

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You are watching: CD (draw AC) 3. LBCA and LDAC are alternate interior angles 4. LBCA = LDAC (alternate interior angles theorem) 5. LBCA and LBAC are alternate interior angles 6. LDAC and LDCA are alternate interior an. Info created by Bút Chì Xanh selection and synthesis along with other related topics.