Question

Quadrilaterals WXYZ and W"X"Y"Z"are similar. Identify the type of reflection

performed and the scale factor.

A)

To obtain quadrilateral W"X"Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 3.

B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/2

c) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 2.

D) To obtain quadrilateral W X Y Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/3.

Answer 1

B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/2

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)

Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).

The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)

If quadrilateral WXYZ is reflected across the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)