7.2/7.3 parallelograms! learning objective: to identify and classify parallelograms and prove that...
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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 2TRANSCRIPT
7.2/7.3 Parallelograms!
Warm-up (IN)
Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms.
List all the characteristics of parallelograms that you know.*Opposite sides parallel
*Opposite sides congruent
*Opposite angles congruent
*Diagonals Bisect each other
Notes
Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms.
Ways to prove a figure is a parallelogram - 1 – show that both pairs of opposite sides are parallel2 – show that both pairs of opposite angles are congruent3 – show that one pair of opposite sides are both congruent and parallel4 – show that diagonals bisect each other
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)
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 congruent2 – show that ONE angle is right
Ways to prove a parallelogram is a rhombus - 1 – show that the diagonals are perpendicular2 – show that 2 consecutive sides are congruent
Conditional statements!
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.
a.
B A
NK
Since and bisect each other, AC BD is a parallelogram.BANK
Since , BN AK is a rectangle. BANKSince , AN NK is a rhombus. BANK
Since is a rectangle and a rhombus, BANK it is a square!
Learning Objective: to identify and classify parallelograms and prove that figures are special types of parallelograms.
b. S
H
O
P
Since , PSO HOS // .SP OH
Since and are both // and ,SP OH is a parallelogram.SHOP
Since ,SO PH is a rhombus.SHOP
CKC p. 355 #1 - 3
Construction p. 350
HW – p. 349 #1-6, 16-20, 27, p. 356 #2-10
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…
POW!!