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Geo 64 Lesson with notes 4th b.notebook
1
February 16, 2016
Jan 228:03 PM
64 Rectangles
Learning Targets:I can recognize and apply properties of rectanglesI can determine whether parallelograms are rectangles
How would you approach the problem if you were Leonardo? What will Leonardo have to do to ensure that the door is a rectangle?
Assuming that the floor is level, how could Leonardo check that the door is a rectangle without measuring the sides or angles?
Feb 12:04 PM
Geo 64 Lesson with notes 4th b.notebook
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February 16, 2016
Feb 12:21 PM
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Geo 64 Lesson with notes 4th b.notebook
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February 16, 2016
Mar 178:19 AM
Rectangle: a parallelogram with four right angles
Properties of rectangles:
All four angles are right anglesOpposite sides are parallel and congruentOpposite angles are congruentConsecutive angles are supplementaryDiagonals bisect each other
Diagonals are congruent
Jan 228:11 PM
Geo 64 Lesson with notes 4th b.notebook
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February 16, 2016
Jan 228:12 PM
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Example 1:
1. A rectangular garden gate is reinforced with diagonal braces to prevent it from sagging. If JK = 12 feet, and LN = 6.5 feet, find KM.
Geo 64 Lesson with notes 4th b.notebook
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February 16, 2016
Jan 228:15 PM
A rectangular park has two walking paths as shown.
2. If TS = 120 meters, find PR.
3. If m<PRS = 64, find m<SQR.
Jan 228:19 PM
Geo 64 Lesson with notes 4th b.notebook
6
February 16, 2016
Jan 228:20 PM
Example 2:
4. Quadrilateral RSTU is a rectangle. If m<RTU = 8x + 4 and m<SUR = 3x 2, find x.
Jan 228:22 PM
5. Quadrilateral JKLM is a rectangle If JP = 3y 5 and MK = 5y + 1, find y.
Geo 64 Lesson with notes 4th b.notebook
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February 16, 2016
Jan 228:24 PM
Jan 228:39 PM
Geo 64 Lesson with notes 4th b.notebook
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February 16, 2016
Jan 228:41 PM
Example 3:
6. Some artists stretch their own canvas over wooden frames. This allows them to customize the size of a canvas. In order to ensure that the frame is rectangular before stretching the canvas, an artist measures the sides and the diagonals of the frames. If AB = 12 inches, BC = 35 inches, CD = 12 inches, DA = 35 inches, BD = 37 inches and AC = 37 inches, explain how an artist can be sure that the frame is rectangular.
Jan 228:45 PM
7. Refer to the beginning of the lesson, Leonardo measures the sides of his figure and confirms that they have the desired measures as shown. Using a carpenter's square, he also confirms that the measure of the bottom left corner of the figure is a right angle. Can he conclude that the figure is a rectangle? Explain.
Geo 64 Lesson with notes 4th b.notebook
9
February 16, 2016
Jan 228:50 PM
Jan 228:53 PM
Example 4:
8. 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.