Properties of Parallelograms G 9 Obj SWBAT apply

Properties of Parallelograms (G. 9) Obj: SWBAT apply the properties Parallelograms (6. 2) WU: Fold your paper for 10 squares, number left to right. Do not write on this paper! **hw/hw log/storybook/colored cardstock Regular and Honors wkb p. 151 HW (day 46): Regular wkb p. 151 -152 (1 -7, 13 -24) Quiz-polygons(6. 1 -6. 2)/Bring graph paper Honors: wkb p. 151 -152 Quiz- polygons (6. 1 -6. 2)/ Bring graph paper Pearsonsuccess. net (due Friday)

Foldable Let’s Create a foldable for this unit… 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line.

Foldable 2. Now, divide the right hand section into 6 sections…use the example to the right. 3. Use scissors to cut along your drawn line, 3. scissors but. Use ONLY to theto cut along your drawn line, crease! but ONLY to the crease! The fold crease

Unit 7 * On the left hand section, draw a square. * On the right hand side, list all of the properties of a square. * Place in your notebook and save for tomorrow. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 1. Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles 1. Is a parallelogram, rectangle, and rhombus 2. 4 congruent sides and 4 congruent (right) angles

How many quadrilaterals can you name? Now can you create a flow chart for rhombi, rectangles, squares, parallelograms, trapezoid and isosceles trapezoid? What do you think a parallelogram is? Draw and label ABCD. What are the vertices? How many diagonals are there?

There are four properties of a parallelogram. Can you recall any of them?

Properties of Parallelograms Theorem: Opposite sides of a parallelogram are congruent. If AD = 16, BC=_______ If AB = 25, DC = _______ Theorem: Opposite angles in a parallelogram are congruent. If the m A = 100 , then m C = _____ If the m D = 80 , then m B = ______

Theorem: Consecutive angles in a parallelogram are supplementary. If m A = 120 , then m B =_____ If m A = 120 , then m C =_____ If m C = 120 , then m D =_____ Theorem: If a parallelogram has one right angle, it has four right angles. m A = 90 m B= 90 m C = 90 m D = 90

Theorem 8 -7 : Diagonals of a parallelogram: The diagonals of a parallelogram bisect each other. Meaning the intersection of the two diagonals is the midpoint of each diagonal. M If AM = 16, MC = ___ If DM = 25, MB = ___ If AC = 30, MC = ___ Theorem 8 -8 : Each Diagonal of a parallelogram separates the parallelogram into two congruent triangles.

Given parallelograms MATH and CARS. Find the variable(s) MATH is a parallelogram. w° y° 55° 4 w - 38° 3 x - 4 3 3 20 33° 15. 4 11 . 1 5 3 z – z° 2 y + 17. 9 1.

Ex: 3. Parallelogram STOP has diagonals , that intersect at point M. If SM = 3 a + 18, SO = 12 a, MT = a+2 b, MP = 3 b + 1. Find a, b and TP.