Question

Rectangle ABCD is rotated by 90 degrees clockwise about the origin then translated 3 units left and 2 units down to form A'B'C'D

Answer 1

The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.

Translation of shapes in the Cartesian plane

Form the task content;

• It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.

The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.

Read more on translation in the Cartesian plane;

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