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8-4: Rectangles, Rhombi, and Squares
Oh my!
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8-4: Rectangles, Rhombi, and Squares
Quadrilateral Parallelogram opposite sides parallel opposite sides congruent Rhombus parallelogram with 4 congruent sides Rectangle parallelogram with right angles Square parallelogram with 4 congruent sides and 4 right angles
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8-4: Rectangles, Rhombi, and Squares
In 8-2, we learned that in a parallelogram, the diagonals bisect each other. With these new shapes, we get a couple of new theorems about their diagonals. Theorem 8-10: The diagonals of a rectangle are congruent. AC = BD
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8-4: Rectangles, Rhombi, and Squares
Theorem 8-11: The diagonals of a rhombus are perpendicular. AC BD Theorem 8-12: The diagonals of a rhombus bisect a pair of opposite angles 1 = 2 3 = 4 5 = 6 7 = 8
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8-4: Rectangles, Rhombi, and Squares
Find XZ in square XYZW if YW = 14 Since a square is also a rectangle, the diagonals of a square (rectangle) are congruent. XZ = 14 Find mYOX in square XYZW Since a square is also a rhombus, the diagonals of a square (rhombus) are perpendicular mYOX = 90
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8-4: Rectangles, Rhombi, and Squares
Your Turn Name all segments that are congruent to WO in square XYZW YO, OZ, and OX Name all angles congruent to XYO in square XYZW ZYO (diagonals bisect) YZO, WZO (all vertex angles congruent) ZWO, XWO WXO, YXO
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8-4: Rectangles, Rhombi, and Squares
Assignment Worksheet 8-4
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