Question

Identify the transformation that maps the figure onto itself.
A) Reflect across the line y = -3
B) Reflect across the line x = 3
C) Rotate 180° about the point (3, -3)
D) Rotate 180° about the point (5, -5)

I believe it's B because transformation is moving it in a straight line, rotating is moving in a circle, therefore, it can't be C or D.

Answer 1

The given figure is symmetric about the line y = =3.

i.e. If the figure is gut into two across the line y = -3, we will have two exactly the same shapes.

Thus, the transformation that maps the given figure unto itself is refrection about the line y = -3.

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

The given is a isosceles trapezium because the length of two non-parallel sides are equal.

An isosceles trapezium has a axis of symmetry which divides the trapezium in two equal and symmetric parts.

The axis of symmetry intersecting the parallel line at their midpoint.

From the below figure we can say that the sides AB and CD are parallel and y=-3 is the axis of symmetry.

So, when we respect the figure across y= -3, then we get the same figure.

Rotation 108 degree across any point will never maps the figure onto itself.

Therefore the reflection across the line y = -3 maps the figure onto itself and option A is correct.