Question

8. Pentagon MNOPQ with M(-4,1), N(-2, 3), (0, 3). P(4,3), and Q(2, -7): rotate 90° counterclockwise, then dilate by a factor of 2/3 12 o. What are the two arrow rules to show this composition? 12 b. Is the dilation an enlargement or reduction? How do you know?

Answer 1

The rule for rotating a figure 90 degree's counterclockwise is

$(x,y)\rightarrow(-y,x)$

Then finally applying the dialtion rule it will be

$(x,y)\rightarrow(-y,x)\rightarrow\frac{2}{3}(-y,x)$

b.

A dilation that create a larger image is known as an enlargement.

A dilation that create a smaller image is known as a reduction.

Generally, if the image is an enlargement the scale factor is greater than one. If the scale factor is between 0 and 1 it denotes a reduction. 2/3 is between 0 and 1 and that means there is a reduction in the image.