Understanding Dilations on the Coordinate Plane

What is the effect on an object's size when moving towards the center of dilation?

• The object contracts.

• The object rotates.

• The object expands.

• The object remains the same size.

What is the first step in using slope to dilate a triangle?

• Draw a line through the triangle.

• Calculate the area of the triangle.

• Find the center of dilation.

• Determine the rise and run from the center to a point.

How is the scale factor applied in the slope method?

• By adding it to the coordinates.

• By multiplying it with the rise and run.

• By subtracting it from the coordinates.

• By dividing it by the rise and run.

What does the variable 'k' represent in the dilation equation?

• The x-coordinate of the center of dilation.

• The y-coordinate of the center of dilation.

• The scale factor.

• The original point's coordinates.

In the equation method, what do 'a' and 'b' represent?

• The coordinates of the center of dilation.

• The rise and run values.

• The coordinates of the original point.

• The scale factor and its inverse.

What is the result of solving the equation for the x-coordinate of a new point?

• The new x-coordinate after dilation.

• The x-coordinate of the center of dilation.

• The scale factor.

• The original x-coordinate.

How does the equation method relate to the slope method?

• It uses different principles entirely.

• It mathematically represents the slope method.

• It is a visual representation of the slope method.

• It is unrelated to the slope method.

What is the purpose of the equation in the dilation process?

• To determine the new coordinates of the points.

• To identify the center of dilation.

• To calculate the perimeter of the shape.

• To find the area of the dilated shape.

What happens when you subtract a negative number in the equation?

• The numbers cancel each other out.

• The result is always zero.

• The numbers become positive.

• The result is negative.

What does the final result of the equation method confirm?

• The accuracy of the slope method.

• The scale factor used.

• The original size of the object.

• The location of the center of dilation.