Properties of Parallelograms

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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

5 hank you O UH for purchasing this product! I hope you found this resource useful in your classroom! Please consider leaving feedback in my p store or me at allthingsalgebra@gmail.com with any questions or comments. You can also find me here: erms of Use ina ilson (All hings Algebra) y purchasing this product, the purchaser receives a limited individual license to reproduce the product for individual single classroom use only. his license is not intended for use by organizations or multiple users, including but not limited to school districts, schools, or multiple teachers within a grade level. his resource is not to be shared with colleagues, used by an entire grade level, school, or district without purchasing the proper number of licenses. Please contact me should you wish to purchase a large number of licenses. o part of this publication may be reproduced, distributed, or transmitted without the written permission of the author. his includes posting this product on the internet, in any form, including classroom/personal websites or network drives. hank you for respecting my work!

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