A parallel is simply one kind of polygon. The is a square that has opposite sides that space parallel come one another. To recognize if the square you’re working v is a parallelogram, you require to recognize the following 6 nature of parallelograms.

You are watching: In a parallelogram consecutive angles are       The last property only matters if over there is a ideal angle in her quadrilateral. If you have one angle that is a ideal angle, then every the rest of the angles have to be ideal angles, too. Why? since we understand that the contrary angles are congruent. We additionally know that consecutive angles room supplementary, and 90 + 90 = 180. Therefore, all four angles would have actually a measure of 90-degrees.

Let’s recap. You’ll understand that your quadrilateral is a parallel if it has actually these nature of parallelograms:

1. The contrary sides space parallel.

2. The contrary sides space congruent.

3. The contrary angles are congruent.

4. Continuous angles are supplementary (add approximately 180-degrees).

5. The diagonals bisect each other.

6.

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And all four angles measure up 90-degrees IF one angle actions 90-degrees.

Look for these 6 nature of parallelograms together you determine which kind of polygon friend have.