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In this lesson, we explore the properties of rectangles and parallelograms, understanding that all rectangles are indeed parallelograms. Students will learn how to determine whether a parallelogram qualifies as a rectangle based on its angles and side properties. The lesson includes solving equations involving the diagonals and applying the concepts through worksheets and quizzes. Mastery of these concepts is essential for recognizing various quadrilaterals and their classifications in geometry. Prepare for a quiz on Thursday!
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I can recognize and apply properties of rectangles I can determine whether parallelograms are rectangles Lesson 8-4
quadrilateral 4 right angles All rectangles are parallelograms!
R S 6x + 3 = 7x – 2 5 = x U T
R S 8x + 3 + 16x – 9 = 90 x = 4 8x + 3 16x – 9 35° U T
2x – 4 36 2x – 4 = 36 x = 20
Your turn 66 33 6x + 3 = 7x – 2 x = 5
B parallelogram (0.5,0.5) mp of AC = C (0.5, 0.5) mp of BD = A D Dist AC = rectangle Dist BD = Diagonals bisect each other AND are congruent
(2.5,4.5) mp of LG = parallelogram G (2.5, 4.5) B mp of BH = H L Dist LG = Not a rectangle Dist BH = Diagonals are not congruent
ASSIGNMENT 8-4 worksheet, do #1-4 Quiz on Thursday