Question

Triangle ABC is graphed on a coordinate grid. A is located at (8,4), B is located at (4,10), and C is located at (-2,4). The triangle is dilated with scale factor of 1/2 with the orgin as the center of dilation. Where would B’ be located at?

Answer 1

A dilation is a transformation that changes the size of a figure while keeping its shape the same. In a dilation with a scale factor of 1/2 and the origin as the center of dilation, each point in the figure is moved away from the origin by a factor of 1/2.

To find the new location of point B, we can apply this dilation to the coordinates of point B. Point B is located at (4,10), so we can multiply each coordinate by 1/2 to find the new location.

B'(x',y') = (1/2)(x,y) = (1/2)(4,10) = (2,5)

So the new location of point B, B' is located at (2,5) in the coordinate plane.