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guapka [62]
3 years ago
10

Why do all transformation preserve distance

Mathematics
1 answer:
yuradex [85]3 years ago
7 0
Well, a distance-preserving transformation is called a rigid motion, and the name suggests that it <em>moves the points of the plane around in a rigid fashion.</em>

A transformation is distance-preserving if the distance between the images of any two points and the distance between the two original points are equal.

If that's confusing, I get it; basically if you transform something, the points from the transformation are image points. Take the distance from a pair of image points, and take the distance from a pair of original points, and they should be the same for a <em>rigid </em>motion.

I keep emphasizing this b/c not all transformations preserve distance; a dilation can grow or shrink things. But if you didn't go over dilations, don't say nothin XD
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3 years ago
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Find the circumference and area of a circle with diameter 12 ft. Express your answer in terms of pie
xz_007 [3.2K]

Answer:

Circumference: 12π

Area: 36π

Step-by-step explanation:

The equation for the circumference of a circle is:

C = πd

Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.

C = 12π

And now we have found the circumference of the circle.

The equation for the area of a circle is:

A = πr²

Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:

12 = 2r

r = 6

Now that we know r, we can find the area of the circle:

A = π(6)²

A = 36π

Now we have found the area.

So the circumference is 12π and the area is 36π.

I hope you find my answer and explanation to be helpful. Happy studying.

4 0
3 years ago
What is 3 and 1/3 divided by 1 and 7/8?
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Reduce the numbers with 3. Any expression divided by 1 remains the same.
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3 years ago
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5. Simplify: 56 = 7 - 3 [4 + {8 - 4 ( 4 + 5 - 3 )}]​
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Answer:

36

Step-by-step explanation:

56=7-3[4+{8-4(4+5-3)}]

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56=7-3[4+24]

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56-56=92-56

36

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3 years ago
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