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lisov135 [29]
2 years ago
14

Polygon Q is a scaled copy of polygon P using a scale factor of 1/2. Polygon Q's area is what fraction of Polygon P's area.

Mathematics
1 answer:
DaniilM [7]2 years ago
4 0

Answer: Polygon Q's area is 1/4 of Polygon P's area

======================================================

Explanation:

Imagine we had a square with side length 8. The area of this square is 8*8 = 64.

Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.

Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.

In other words,

new smaller area = (1/4)*(old larger area)

So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.

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Answer: Choice B

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=============================================================

Explanation:

Start at point X. Draw a horizontal line straight across until you reach the y axis. You should arrive at y = 250. This tells us that they traveled 250 miles.

Go back to point X. Draw a vertical line until you reach the x axis. You should reach x = 4. This indicates 4 hours.

Pairing up the two values together means they traveled 250 miles in 4 hours. Divide the distance over time to get the speed

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--------

Side note: unfortunately your teacher chose the label uppercase X for the point, which may be a bit confusing since it could clash with the lowercase x along the horizontal axis.

Another note: the speed represents the slope of the line

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