Question

Which graph shows a dilation? On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0). On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0). On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0). On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 0.5, 0), (negative 1, 2), (1, 2), (1.5, 0).

Answer 1

The two quadrilaterals shown on the coordinate plane are not congruent.
The first quadrilateral is larger than the second quadrilateral.
The larger quadrilateral has four vertices located at (-4,3), (0,3), (2,0), and (-2,0).
The smaller quadrilateral has four vertices located at (-2,2), (0,2), (0.5,0), and (-1.5,0).
The second quadrilateral is a dilation of the first quadrilateral.
A dilation is a transformation that changes the size of a figure, but not its shape.
The dilation is centered at the origin.
The scale factor of the dilation is 0.5.
This means that all the coordinates of the larger quadrilateral have been multiplied by 0.5 to get the coordinates of the smaller quadrilateral.
The x-coordinates of the vertices of the smaller quadrilateral are half the x-coordinates of the vertices of the larger quadrilateral.
The y-coordinates of the vertices of the smaller quadrilateral are half the y-coordinates of the vertices of the larger quadrilateral.
The smaller quadrilateral is located inside the larger quadrilateral.
The smaller quadrilateral is similar to the larger quadrilateral.
The smaller quadrilateral has a smaller area than the larger quadrilateral.
The larger quadrilateral has an area of 18 square units.
The smaller quadrilateral has an area of 4 square units.