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ser-zykov [4K]
3 years ago
12

HELP I WILL GIVE BRAINLIEST

Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

Explanation:

Statements are numbered; reasons are in italics.

1. ABCD is a parallelogram with AB≅CD and BC≅AD. <em>Given; definition of a parallelogram</em>.

2. Diagonal AC ≅ diagonal CA. <em>Reflexive property of congruence</em>.

3. ΔABC ≅ ΔCDA. <em>SSS congruence postulate</em>.

4. ∠B ≅ ∠D. <em>CPCTC</em>. (Opposite angles B and D are congruent.)

5. Diagonal BD ≅ diagonal DB. <em>Reflexive property of congruence</em>.

6. ΔABD ≅ ΔCDB. <em>SSS congruence postulate</em>.

7. ∠A ≅ ∠C. <em>CPCTC</em>. (Opposite angles A and C are congruent.)

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