Properties of Parallelograms
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- Jean Hines
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1 Properties of Parallelograms U-OU PUZZ! Objective: tudents will practice identifying and applying the properties of parallelograms to solve for sides and angles. everal problems require that students solve a multi-step equation. Properties included: opposite sides are congruent, opposite sides are parallel, diagonals bisect each other, opposite angles are congruent, consecutive angles are supplementary. ome more challenging problems are included. his activity was written for a high school level geometry class. irections: 1) opy enough puzzles and blank templates for each student. I typically put the problems on white paper and the template in color. his is optional and only makes it pop! 2) On a separate sheet of paper, students begin solving each problem. ach box is lettered so it makes it easy for students to organize their work. As they do this, I encourage them to record their answers in the boxes. 3) After solving, they cut out the squares and begin arranging them so the edges meet. If they need some help with this, remind them that the box letters must face up. For even more help, I sometimes tell them which box goes in the upper left corner to get them started. 4) Once they have the squares arranged, they can paste them down on the template. I have my students staple their work to their puzzle and I collect as a classwork grade. Using the box letters makes it very easy to grade!
2 irections: Assume each quadrilateral is a parallelogram.. Find each missing part, then cut the squares apart and arrange them so the edges match. Paste the squares on the template in the correct order. A J 53 Find J 131 A Find 36 P 29 R Find P Find Find Find 3 38 F X Z Y Find m Y Find m U 42 Find m Z Find m UV Find x 33 H 14 I 26 V 19 U 2x y y 6 6x 23 Find y 16 Find J 11 Find m F 10 Find x Find x Find x J * J = 15 2x * = 4x 3 (15x 34) (11x 6) Find m 27 (11x + 2) (14x 10) (3x + 4) F (10x 19) Find m 124 (9x + 7) R (5x 9) (7x 4) A 61 (2x + 26) *m A = 112 Find m Find m Find m A Find m R Find m A
3 ame: ate: Per:
4 OUIO irections: Assume each quadrilateral is a parallelogram.. Find each missing part, then cut the squares apart and arrange them so the edges match. Paste the squares on the template in the correct order. 5 J 134 A P R Find P (15x 34) (11x 6) Find m J 53 Find J Find Find m Find I (9x + 7) R (5x 9) Find m R 124 (7x 4) A 61 (2x + 26) *m A = 112 Find m A V Find x Find m A Find m UV U Find m U 27 Find m 131 Find m Find Find x F 49 H (3x + 4) A F 2x y + 16 (10x 19) 5y 6 6x 23 Find y (11x + 2) Find x Find x Find m Z (14x 10) Find Find m F J = 15 2x = 4x 3 64 X Z Y Find J Find m Y
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