Question

triangles a, b, c, and d are shown in the coordinate plane. complete each statement. when △a is rotated 180° clockwise around the origin, the image is △c. when △b is rotated 90° counter - clockwise around the origin, the image is not △c. when △c is reflected across the y - axis, the image? △d.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the $y -$axis is $(-x,y)$.

Step2: Analyze vertices of $\triangle C$ and $\triangle D$

Let's assume the vertices of $\triangle C$ are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. After reflection across the $y -$axis, the new vertices are $(-x_1,y_1),(-x_2,y_2),(-x_3,y_3)$. By observing the graph, we can see that the vertices of $\triangle C$ when reflected across the $y -$axis match the vertices of $\triangle D$.

Answer:

is