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Aleonysh [2.5K]
4 years ago
5

A park is shaped like a rectangle with a length 12 times its width w. What is a simplified expression for the distance between o

pposite corners of the park?
Mathematics
1 answer:
Mnenie [13.5K]4 years ago
7 0
The opposite corners would be the Pythagorean theorem, because a rectangle has 90 degree corners, which would then be 12^2 + w^2 = d^2, where d is the distance between the opposite corners of the park, w is the width and 12 is the length!
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If it is a rigid motion identify the type of transformation Help please
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A transformation is rigid if the original shape remains the same shape and size after the transformation.

Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.

Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.

Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.

Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.

Putting a golf ball:
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Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.

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