786tasmiyahmuhammad
Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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

ABCD is a parallelogram with diagonals AC and BD intersecting at O

Prove that the diagonals bisect one another​

Please Help Itll Be Appreciated And If Possible Ill Give BrainliestABCD Is A Parallelogram With Diagonals AC And BD Intersecting At OProve That The Diagonals Bi class=

Sagot :

ivycoveredwalls

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.

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

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

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

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

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

The diagonals bisect each other!

View image ivycoveredwalls
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.