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2 years ago

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 assumption 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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