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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 i
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
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Mathematics
4 years
2021-08-02T20:19:13+00:00
2021-08-02T20:19:13+00:00 1 Answers
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Answers ( )
Answer:
The correct option is;
A rotation of 180° about the center of the figure
Step-by-step 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