Stretching and Shrinking Test Review

Front

What is the area of a figure when the dimensions are scaled down by a factor of 0.5?

Back

The area is scaled down by the square of the scale factor. If the original area is A, the new area is A * (0.5)^2 = A * 0.25.

Front

What does it mean when two sides are similar (e.g., Side RT ~ Side RQ)?

Back

It means that the two sides are proportional in length and the figures they belong to are similar in shape.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure is getting bigger.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6, 8, and 10.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

How do you find the scale factor between two similar figures?

Back

Divide the length of a side of one figure by the length of the corresponding side of the other figure.

Front

What happens to the perimeter of a figure when the scale factor is 3?

Back

The perimeter is multiplied by 3.

Front

If a square has an area of 64 yd², what is the length of one side?

Back

The length of one side is 8 yd (since side = √area).

Front

What is the relationship between the areas of two similar figures with a scale factor of k?

Back

The ratio of their areas is k².