Question

Figure 1 is a rhombus and figure 2 is a rectangle. Neither figure is a SQUARE. Which transformation can be used to map figure

1 onto itself and can also be used to map figure 2 onto itself?
A reflection over one of the diagonals of the figure.
A rotation of 90° clockwise about the center of the figure
A rotation of 180° about the center of the figure
Figure 1
Figure 2
A reflection over a line through the center of the figure that is
parallel to one of the sides of the figure

Answer 1

The correct option is;

A rotation of 180° about the center of the figure

Explanation:

The given shapes of the figures are;

Figure 1 = A rhombus

Figure 2 = A rectangle

For figure 1, a rhombus is a diamond shaped quadrilateral in which all the four sides are equal with opposite parallel sides

Figure 2 which is also a quadrilateral with opposite sides equal and also parallel to each other and all the four interior angles are equal to 90°

Therefore, both figures are symmetrical about their centroid and each half of each figure is a reflection of the other half.

The transformation that can be used to map figure 1 onto itself and can also be used to map figure 2 onto itself is therefore;

A rotation of 180° about the center of the figure