Question

The figure below has a point marked with a large dot.First, rotate the figure 90° counterclockwise about the origin.Then, give the coordinates of the marked point in the original figure and the final figure.

Answer 1

We have a figure that has to be rotated 90° counterclockwise.

We can deduce the rule by graphing:

Then, we can write the rule as:

$P=(x,y)\longrightarrow P^{\prime}=(-y,x)$

The large dot has coordinates (1, 5),

Then, if we apply the rule, we will get:

$P=(1,5)\longrightarrow P^{\prime}=(-5,1)$

Answer:

Point in original figure: (1, 5)

Point in final figure: (-5, 1)