Understanding Similar Polygons and Solving for X

What does it mean for two polygons to be similar?

• They have the same area.

• Their corresponding angles are equal and sides are proportional.

• They have the same perimeter.

• Their corresponding sides are equal.

In problem 15, what is the value of X when 8X - 2 over 42 is proportional to 63 over 49?

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For problem 16, what is the solution for X when X - 2 over 18 is proportional to 12 over 24?

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In problem 17, what is the value of X when 6X - 6 over a number is equal to 63 over another number?

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For problem 18, what is the value of X when the larger base over the smaller base is equal to 45 times 16 over 40 times 2X?

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In problem 19, what is the value of X when the scale factor is 5/6 and 3X + 11 over 42?

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For problem 20, what is the solution for X when the scale factor from A to B is 5 to 6 and 30 over 3X?

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In problem 21, what is the value of X when the scale factor is 2 to 7 and 14 over 8X - 7?

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For problem 22, what is the value of X when the scale factor from A to B is 6 to 7 and 48 over 8X?

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What is the purpose of using a scale factor in these problems?

• To calculate the volume of the polygons.

• To determine the perimeter of the polygons.

• To compare the size of corresponding sides.

• To find the area of the polygons.