Question

PLEASE HELP!!!! The two points shown below (-2,-4) (3,-4)are reflected across the x-axis. Then, the four points are connected to form a rectangle. What is the perimeter of this rectangle?

Answer 1

Answer:

26 units

Step-by-step explanation:

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

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

The reflection of the point (-2,-4) across the x axis gives (-2, 4) while the reflection of (3, -4) gives (3, 4)

The distance between (-2, -4) and (-2, 4) is the length while from (-2, -4) to (3, -4) is the breath. Hence:

$Lengthth=\sqrt{(-2-(-2))^2+(-4-4)^2}=\sqrt{64}=8\\ \\Breadth=\sqrt{(-2-3)^2+(-4-(-4))^2}=\sqrt{25}=5$

Perimeter of rectangle = 2(length + breath) = 2(8 + 5) = 2(13) = 26 units