Question

1. write a set of instructions for how to reflect any point p across a given line ℓ.

Explanation:

Step1: Draw a perpendicular line

Draw a line from point $P$ that is perpendicular to the given line $\ell$. Let the intersection point of this perpendicular line and line $\ell$ be point $Q$.

Step2: Measure the distance

Measure the distance between point $P$ and point $Q$, denoted as $d = PQ$.

Step3: Find the reflected point

On the other - side of line $\ell$ along the perpendicular line, find a point $P'$ such that the distance between $Q$ and $P'$ is also $d$. Point $P'$ is the reflection of point $P$ across line $\ell$.

Answer:

Follow the above three - step process to reflect any point $P$ across a given line $\ell$.