Trapezoid QUAD is graphed on the coordinate plane and then reflected over the x-axis to create trapezoid
Q'U'A'D'.
3
If trapezoid Q'U'A'D'is dilated by a factor of with
4
respect to the origin to create trapezoid Q"U"A"D", what
are the coordinates of A"?
U
A
O (2, 4)
O (-2,4)
3+
2+
1+
Q
D
o , -3)
0 (33)
-5 -3 -2 -1
2
3
/4
sx
-2
-37
UP
-4 -5
A'

A''(3/2, -3)

Step-by-step explanation:

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

If a point A(x, y) is reflected over the x axis, the new point would be A'(x, -y).

If a point A(x, y) is dilated by a factor k, the new point would be A'(kx, ky).

Given that Trapezoid QUAD has vertices at Q(-4, 0), U(-2, 4), A(2, 4) and D(4, 0).  If the trapezoid is reflected over the x-axis to create trapezoid  Q'U'A'D', the vertices would be at Q'(-4, 0), U'(-2, -4), A'(2, -4) and D'(4, 0).

If trapezoid Q'U'A'D'is dilated by a factor of 3/4  respect to the origin to create trapezoid Q"U"A"D", the vertices would be at Q''(-3, 0), U''(-3/2, -3), A''(3/2, -3) and D''(3, 0)

step-by-step explanation: