7.2/7.3 Parallelograms! Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Warm-up.

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Presentation transcript:

7.2/7.3 Parallelograms! Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Warm-up (IN) List all the characteristics of parallelograms that you know. *Opposite sides parallel *Opposite sides congruent *Opposite angles congruent *Diagonals Bisect each other

CKC p. 349 #1 and 2 Notes Ways to prove a figure is a parallelogram - Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Notes Ways to prove a figure is a parallelogram - 1 – show that both pairs of opposite sides are parallel 2 – show that both pairs of opposite angles are congruent 3 – show that one pair of opposite sides are both congruent and parallel 4 – show that diagonals bisect each other During the CKC (checking key concepts) the students will answer the questions verbally and I will assess if they understand what makes up a parallelogram. CKC p. 349 #1 and 2

Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Ex 1 – plot the points and show that they are the vertices of a parallelogram: (-1,5), (2,4), (-2,2), (-5,3) The students can use distance and slope formulas to use any of the methods discussed in slide 2 to prove that the figure is a parallelogram.

Ways to prove a parallelogram is a rectangle - Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Ways to prove a parallelogram is a rectangle - 1 – show that the diagonals are congruent 2 – show that ONE angle is right Ways to prove a parallelogram is a rhombus - 1 – show that the diagonals are perpendicular 2 – show that 2 consecutive sides are congruent We will review the conditional statements for each of these properties. Conditional statements!

Ex 2 – classify the quadrilateral. Be as specific as possible. Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. Ex 2 – classify the quadrilateral. Be as specific as possible. B A N K a.

Construction p. 350 CKC p. 355 #1 - 3 S b. P H O Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms. S H O P b. Construction p. 350 CKC and Construction (constructing a parallelogram) will be done if there is time permitted. CKC p. 355 #1 - 3

Out – Use a property of parallelograms to explain why you only need one right angle to prove it’s a rectangle. Summary – I think I can remember… HW – p. 349 #1-6, 16-20, 27, p. 356 #2-10