Question

explore the properties of rotation by following these steps.
√ 7. the exact measure of each angle formed by connecting the center of rotation with corresponding vertices is 90°. what can you conclude about these angles?
they all equal the angle of rotation.√

1. use the ruler to measure the length of these segments:

pa = units
pa = units

Explanation:

Step1: Recall property of rotation

In a rotation, the distance from the center of rotation to a point and its corresponding rotated - point is the same. So, if we measure the lengths of $PA$ and $PA'$ with a ruler, we should find that $PA = PA'$. You need to actually use a ruler to measure the length of the line - segment $PA$ and then record the value in the first blank, and the same value will be in the second blank.

Answer:

The lengths of $PA$ and $PA'$ are equal. After measuring with a ruler, if $PA = x$ units, then $PA'=x$ units. (You need to perform the actual measurement to get the specific numerical value of $x$).