MCAS Math Camp Practice

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is a number that describes how much a figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What does it mean to dilate a triangle in the coordinate plane?

Back

To dilate a triangle in the coordinate plane means to resize the triangle from a specific point (the center of dilation) by a certain scale factor, affecting the distance of each vertex from that point.

Front

How do you determine the new coordinates of a point after dilation?

Back

To determine the new coordinates of a point after dilation, multiply the original coordinates by the scale factor and add the coordinates of the center of dilation if it is not the origin.

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

What is the relationship between the scale factor and the area of a shape?

Back

The area of a shape after dilation is equal to the original area multiplied by the square of the scale factor.

Front

What is the definition of a coordinate plane?

Back

A 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 an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written in the form (x, y), where x is the horizontal position and y is the vertical position.

Front

What does it mean for a triangle to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

What is the difference between perimeter and area?

Back

Perimeter is the total distance around a shape, while area is the amount of space inside a shape.