geometry
DESCRIPTION
Geometry. 6.4 Rectangles. Rectangle – a parallelogram with 4 right angles. Opposite sides are parallel and congruent. Opposite angles are congruent. Consecutive angles are supplementary. Diagonals bisect each other. Theorem 6.13: Diagonals of a Rectangle. - PowerPoint PPT PresentationTRANSCRIPT
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Geometry6.4
Rectangles
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Rectangle – a parallelogram with 4 right angles.
Opposite sides are parallel and congruent.
Opposite angles are congruent. Consecutive angles are supplementary. Diagonals bisect each other.
![Page 3: Geometry](https://reader037.vdocuments.us/reader037/viewer/2022110211/56813300550346895d99bbeb/html5/thumbnails/3.jpg)
Theorem 6.13: Diagonals of a Rectangle
If a parallelogram is a rectangle, then its diagonals are congruent.
The converse is true.
![Page 4: Geometry](https://reader037.vdocuments.us/reader037/viewer/2022110211/56813300550346895d99bbeb/html5/thumbnails/4.jpg)
Example 1
S
R U
T
Quadrilateral STRU is a rectangle.
![Page 5: Geometry](https://reader037.vdocuments.us/reader037/viewer/2022110211/56813300550346895d99bbeb/html5/thumbnails/5.jpg)
Example 2
![Page 6: Geometry](https://reader037.vdocuments.us/reader037/viewer/2022110211/56813300550346895d99bbeb/html5/thumbnails/6.jpg)
Example 3 Quadrilateral JKLM has vertices
J(-2,3),K(1,4), L(3,-2), and M(0, -3). Determine whether JKLM is a rectangle by using the distance formula.
![Page 7: Geometry](https://reader037.vdocuments.us/reader037/viewer/2022110211/56813300550346895d99bbeb/html5/thumbnails/7.jpg)
Homework
Page 422: 1-19 all, 26-31 all, 39-41all