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2 years ago

3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is

Mathematics

1 answer:

madam [21]2 years ago

3 0

Answer:

ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

AB = CD

2x +1 = 3x -11

12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.

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