Hi! To find the new point after rotating the point (-7, 4) 90 degrees counterclockwise, we can use the rotation formula.
The general formula for a counterclockwise rotation of a point (x, y) by an angle θ is:
x' = x*cos(θ) - y*sin(θ)
y' = x*sin(θ) + y*cos(θ)
In this case, θ = 90 degrees. Let's plug in the values:
x' = (-7)*cos(90) - 4*sin(90)
y' = (-7)*sin(90) + 4*cos(90)
Using the trigonometric values for 90 degrees:
cos(90) = 0
sin(90) = 1
We can simplify the formulas to:
x' = (-7)*0 - 4*1 = -4
y' = (-7)*1 + 4*0 = -7
Therefore, the new point after rotating (-7, 4) 90 degrees counterclockwise is (-4, -7).
Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?
-Hiiiiii :)
3 answers
Are you sure?
Apologies for the incorrect response earlier. Let's correct it:
To rotate a point (x, y) 90 degrees counterclockwise, we can use the following transformation:
x' = -y
y' = x
Applying this transformation to the given point (-7, 4):
x' = -4
y' = -7
Therefore, the new point after rotating (-7, 4) 90 degrees counterclockwise is (-4, -7).
To rotate a point (x, y) 90 degrees counterclockwise, we can use the following transformation:
x' = -y
y' = x
Applying this transformation to the given point (-7, 4):
x' = -4
y' = -7
Therefore, the new point after rotating (-7, 4) 90 degrees counterclockwise is (-4, -7).