Figure ABCD is a trapezoid with point A (0, -4).

Jason Watson

Jason Watson

Answered question

2021-11-22

Figure ABCD is a trapezoid with point A (0, -4). What rule would rotate the figure 270° clockwise?

Answer & Explanation

Philip O'Neill

Philip O'Neill

Beginner2021-11-23Added 8 answers

The objective here is to tell the rule to rotate the co-ordinate point (0, -4) by an angle of 270° clockwise.
A point (x, y) in coordinate plane is rotated by an angle θ clockwise is given by the rotation matrix
[cosθsinθsinθcosθ]
Here, θ=270
[cos270sin270sin270cos270]
Thus, the rule to rotate the co-ordinate point (0, -4) by an angle of 270° clockwise is given by:
[xy]=[cos270sin270sin270cos270][04]
[xy]=[0cos270+4sin2700sin270+4cos270]
[xy]=[4sin2704cos270]

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