Question

Complete the table to show a comparison between the height and width of each of the moons. Moon Height Width Helght /Width A B C D How does this table show that moons A, B, and C are alike, yet different from moon

Answer 1

To find the height and width of each moon, count the vertical squares or horizontal squares that it occupies.

Another easy way to see it, is to enclose each moon in a rectangle and look at the height and width of each rectangle:

For moon A:

It has a height of 12 squares, and a width of 8 squares.

`\frac{\text{Height}}{\text{Width}}=(12)/(8)=(3)/(2)`

For moon B:

It has a height of 6 squares and a width of 4 squares.

`\frac{\text{Height}}{\text{Width}}=(6)/(4)=(3)/(2)`

For moon C:

It has a height of 3 squares and a width of 2 squares.

`\frac{\text{Height}}{\text{Width}}=(3)/(2)`

For moon D:

It has a height of 4 squares and a width of 6 squares.

`\frac{\text{Height}}{\text{Width}}=(4)/(6)=(2)/(3)`

Notice that the proportion Height/Width is the same for moons A, B and C but different from that of moon D. This shows that the moon D is not alike to A, B and C moons, and that three moons are alike from each other.

Remember that two figures are similar if the proportion of corresponding sides is the same.