MCAS/SAT Math Practice

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape. It is defined by a scale factor and a center of dilation.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you perform a dilation on a point (x, y) with respect to the origin?

Back

To dilate a point (x, y) by a scale factor k, multiply both coordinates by k: (kx, ky).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

How does dilation affect the area of a triangle?

Back

When a triangle is dilated by a scale factor k, the area is multiplied by k².

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What is the difference between similar and congruent figures?

Back

Similar figures have the same shape but different sizes (proportional dimensions), while congruent figures have the same shape and size.

Front

What is the relationship between the scale factor and the dimensions of a figure?

Back

The scale factor determines how much larger or smaller the dimensions of a figure will be after dilation.

Front

What does it mean for a triangle to be dilated with respect to the origin?

Back

Dilation with respect to the origin means that the center of dilation is at the origin (0,0), and all points of the triangle are moved away from or towards the origin based on the scale factor.

Front

How do you find the new coordinates of a triangle's vertex after dilation?

Back

To find the new coordinates of a vertex after dilation by a scale factor k, multiply the original coordinates (x, y) by k: (kx, ky).