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Hitman42 [59]
2 years ago
14

Please help, it'll be appreciated and if possible, I'll give brainliest

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0

Step-by-step explanation:

See the attached image.  I numbered angles differently so as not to make an <u>assumption</u> that angles numbered the same are congruent.

\overline{AB} \parallel \overline{CD}\\\angle1 \cong \angle3 (alternate interior angles are congruent)

\overline{AD} \parallel \overline{BC}\\\angle 2 \cong \angle 4 (alternate interior angles are congruent)

\overline{AB} \cong \overline{CD}  (opposite sides of a parallelogram are congruent)

\triangle{ABO \cong \triangle{CDO}  (ASA - side/angle/side)

\overline{AO} \cong \overline{CO}\\\overline{BO} \cong \overline{DO}  (corresponding parts of congruent triangles are congruent)

The diagonals bisect each other!

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