Question

from unit 1, lesson 4 3. reflect polygon p using line l. from unit 1, lesson 3.

Explanation:

Step1: Identify polygon vertices

Let the vertices of polygon $P$ be $(x_1,y_1),(x_2,y_2),\cdots$.

Step2: Use reflection rule

For reflection over a vertical line $x = a$, the rule is $(x,y)\to(2a - x,y)$. Identify the equation of line $\ell$ (if it's a vertical line). If it's a horizontal line $y = b$, the rule is $(x,y)\to(x,2b - y)$. Measure the distance of each vertex from line $\ell$ and find the corresponding reflected - point on the other side of the line $\ell$ at the same distance.

Step3: Connect reflected vertices

Connect the reflected vertices in the same order as the original polygon $P$ to form the reflected polygon.

Answer:

The reflected polygon of $P$ over line $\ell$ is obtained by following the above steps. (Since no specific coordinates of vertices of $P$ or equation of line $\ell$ are given, a visual - construction on the grid is required. Mark the reflected vertices and connect them to get the new polygon).