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Presentation transcript:

Warm Up 6.1 Exit Slip! Please pick one up on your way in.

6.2 Notes Parallelograms

Parallelogram

Example 1 In parallelogram ABCD, suppose mÐB = 32, CD = 80 inches, and BC = 15 inches. a) Find AD. b) Find mÐC. c) Find mÐD.

Diagonals

Example 2

Example 2 Continued

Example 3 a) What are the coordinates of the intersection of the diagonals of parallelogram MNPR, with vertices M(–3, 0), N(–1, 3), P(5, 4) and R(3, 1)?

Example 3 continued… b) What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0, –3), M(–2, 1), N(1, 5) and O(3, 1)?

Example 4 Write a paragraph proof. Given: Parallelogram ABCD, 𝐴𝐶 and 𝐵𝐷 are diagonals, and point P is the intersection of 𝐴𝐶 and 𝐵𝐷 . Prove: 𝐴𝐶 and 𝐵𝐷 bisect each other.