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If ABCD is a parallelogram which of the following statements is not true

If ABCD is a parallelogram which of the following statements is not true-example-1

2 Answers

4 votes

Answer:

m∠A + m∠C = 180

Explanation:

User Danny Ocean
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2 votes

Answer: A+C = 180 (first answer choice)

This statement is only true if and only if we are dealing with a rectangle (where all four angles are 90 degrees). Otherwise, the statement is false.

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side notes:

The second statement that AN = NC and DN = NB is true because a parallelogram has its diagonals bisect each other. In other words, the diagonals cut in each other in half.

The third statement that AD = BC and DC = AB is true because opposite sides of a parallelogram are parallel and congruent.

The fourth statement is true because opposite angles of a parallelogram are congruent. If A = C = 90, then A+C = 90+90 = 180 backing up the claim I made earlier, but it's possible that A and C are non-right angles making this parallelogram non-rectangular.

User Mike Dinescu
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