Question

lesson 5 | session 2
2 cyrus plans a design to paint on his bass drum. he starts with figure p and translates it 3 units to the right to form figure p. then he reflects figure p across the y - axis to form figure p. then cyrus dilates figure p using a scale factor of 2 to form figure p. the center of dilation is at the origin. draw figures p, p, and p in the coordinate plane.

Explanation:

Step1: Translation rule

For a translation 3 units to the right, if a point $(x,y)$ in figure $P$ has coordinates, the coordinates of the corresponding point in figure $P'$ are $(x + 3,y)$.

Step2: Reflection rule

For a reflection of figure $P'$ across the $y$-axis, if a point $(x,y)$ in figure $P'$ has coordinates, the coordinates of the corresponding point in figure $P''$ are $(-x,y)$.

Step3: Dilation rule

For a dilation of figure $P''$ with a scale - factor of 2 and center of dilation at the origin, if a point $(x,y)$ in figure $P''$ has coordinates, the coordinates of the corresponding point in figure $P'''$ are $(2x,2y)$. Then plot the figures $P'$, $P''$ and $P'''$ on the coordinate - plane using these transformed coordinates.

Answer:

Draw the figures $P'$, $P''$ and $P'''$ on the given coordinate - plane by applying the above - mentioned transformation rules to the vertices of figure $P$. (Since the actual coordinates of vertices of figure $P$ are not given in a numerical form, the final drawing is to be done by applying the transformation rules to the visual points of figure $P$ on the grid).