Coordinate Geometry: Reflection

Use a graph sheet for this question. Take $1 \; cm = 1$ unit on both the axes.

  1. Plot the points $A \left(0, 5\right)$, $B \left(3,0\right)$, $C \left(1, 0\right)$ and $D \left(1, -5\right)$.
  2. Reflect the points $B$, $C$ and $D$ on the $Y$ axis and name them as $B'$, $C'$ and $D'$ respectively.
  3. Write the coordinates of $B'$, $C'$ and $D'$.
  4. Join the points $ABCDD'C'B'A$, in order, and give a name to the closed figure formed.



The points $A \left(0, 5\right)$, $B \left(3,0\right)$, $C \left(1, 0\right)$ and $D \left(1, -5\right)$ are plotted.

Points $B$, $C$ and $D$ are reflected in the $Y$ axis giving the points $B' \left(-3,0\right)$, $C' \left(-1, 0\right)$ and $D' \left(-1, -5\right)$ respectively.

Points $ABCDD'C'B'A$ joined in order give an arrow.