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8-4: Rectangles, Rhombi, and Squares

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Presentation on theme: "8-4: Rectangles, Rhombi, and Squares"— Presentation transcript:

1 8-4: Rectangles, Rhombi, and Squares
Oh my!

2 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

3 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

4 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

5 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 mYOX in square XYZW Since a square is also a rhombus, the diagonals of a square (rhombus) are perpendicular mYOX = 90

6 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

7 8-4: Rectangles, Rhombi, and Squares
Assignment Worksheet 8-4


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