What is the angle of rotation from figure d to figure d’? assume that the center of rotation is the origin.

Angle of rotation is 90°.

Step-by-step explanation:

In the given figure point D is rotated about the origin and we get a new point D'

We join D and D' with origin by two lines forming oD and oD'

Now we get slopes of oD as and oD' as

Point D and D'are (-1.5, 3.5) and (3.5, 1.5) and origin as (0,0)

=

= -

=

=

Now × =

= -

Therefore, both the lines oD and oD' are perpendicular to each other.

Angle of rotation is 90°.

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