Question

Use the image to answer the question.

A parallelogram has vertices upper A, upper B, upper C, and upper D. Opposite vertices are connected via diagonal lines that intersect at an interior point labeled upper O. The lines formed between each vertex and upper O are labeled.

To prove that quadrilateral ABCD
is a parallelogram, what must be the value of m?

(1 point)
Responses

36
36

15
15

11
11

18
18
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Answer 1

I can't see the numeric labels clearly from your description. To decide m you must use the fact that in a parallelogram the diagonals bisect each other, so AO = OC and BO = OD. That gives one or two equations you solve for m.

Please either upload the image or tell me the expressions/values written on AO, OC, BO, and OD and I'll solve for m. (If there is only one pair of equal segments shown, set them equal and solve; if both pairs are given use either equation — they should give the same m.)