Use Properties of Parallelograms

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Presentation transcript:

Use Properties of Parallelograms 8.2

Parallelograms Parallelograms are quadrilaterals where opposite sides are parallel. The opposite sides are also congruent. Which one is not a parallelogram?

First Theorem…

Second theorem…

Find the missing sides b + 2 = 7 b = 5 a – 3 = 14 a = 17

Find the values for t and e. 5e + 14 = 12e - 42 14 = 7e - 42 56 = 7e 8 = e 2t + 25 = 8t + 7 25 = 6t + 7 18 = 6t 3 = t

What do we know about the opposite angles of a parallelogram? They’re equal!!! m = 101

Find b 106 = 9b - 2 108 = 9b 12 = b

And another theorem

Find all the missing angle measures 60 ̊ 120 ̊ 120 ̊

Find a and b 10b +6

Solve for x 7x + 25 + 17x – 13 = 180 24x + 12 = 180 24x = 168 x = 7

Find the missing variables Which sides are congruent? 15 = 5a 3 = a b - 1 = 9 b = 10

Solve the parallelogram

Solve for the sides

Solve for the angles