Question

pick option #1 or options #2 to complete. option #1 - more practice with the skills 10. write a sequence of transformations to map δabc to δabc.

Explanation:

Step1: Reflect over y - axis

Reflection over the y - axis changes the sign of the x - coordinates of all points. If a point has coordinates $(x,y)$ in $\triangle ABC$, after reflection over the y - axis, it becomes $(-x,y)$ in an intermediate triangle.

Step2: Translate down

Count the vertical distance between corresponding points of the intermediate triangle (after reflection) and $\triangle A'B'C'$. Translate the reflected triangle down by the appropriate number of units. Let's assume the vertical distance is $k$ units. If a point on the reflected triangle has coordinates $(x_1,y_1)$, after translation down, it becomes $(x_1,y_1 - k)$.

Answer:

First, reflect $\triangle ABC$ over the y - axis. Then, translate the reflected triangle down by an appropriate number of units to map it to $\triangle A'B'C'$.