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Properties of Parallelograms (G.9)

Properties of Parallelograms (G.9). Obj : SWBAT apply the properties Parallelograms (6.2) . WU: G.5 and G.6- graded! ** hw/hw log/storybook/colored cardstock Regular and Honors wkb p. 151. HW (day 47): Regular wkb p. 151-152 (1-7, 13-24 )/Quiz(6.1-6.2)

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Properties of Parallelograms (G.9)

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  1. Properties of Parallelograms (G.9) Obj: SWBAT apply the properties Parallelograms (6.2) WU:G.5 and G.6- graded! **hw/hw log/storybook/colored cardstock Regular and Honorswkbp. 151 HW (day 47): Regular wkb p. 151-152 (1-7, 13-24)/Quiz(6.1-6.2) Honors: wkb p. 151-152/Quiz (6.1-6.2) Bring Graph Paper!!! Pearsonsuccess.net (due Friday)

  2. 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.

  3. Foldable The fold crease 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, but ONLY to the crease! 3. Use scissors to cut along your drawn line, but ONLY to the crease!

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

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

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

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

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

  9. 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. Theorem 8-8 : Each Diagonal of a parallelogram separates the parallelogram into two congruent triangles. M If AM = 16, MC = ___ If DM = 25, MB = ___ If AC = 30, MC = ___

  10. Given parallelograms MATH and CARS. Find the variable(s) • MATH is a parallelogram. w° y° 55° z° 3x - 4 33° 4w - 3 15.4 17.9 2y + 5 3z – 3 11.1 38° 20

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

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