rotate $\triangle stu$ $90^circ$ clockwise around the origin.
rotate $\triangle stu$ $90^circ$ clockwise around the origin.
Answer
Explanation:
Step1: Identify vertex coordinates
From the grid: $S = (-5, -5)$, $U = (-10, -15)$, $T = (-5, -15)$
Step2: Apply 90° clockwise rotation rule
The rule for a 90° clockwise rotation around the origin is $(x, y) \to (y, -x)$.
- For $S(-5, -5)$: $(-5, -5) \to (-5, 5)$
- For $U(-10, -15)$: $(-10, -15) \to (-15, 10)$
- For $T(-5, -15)$: $(-5, -15) \to (-15, 5)$
Step3: Plot new vertices and connect
Plot the new points $S'(-5, 5)$, $U'(-15, 10)$, $T'(-15, 5)$ and connect them to form $\triangle S'T'U'$.
Answer:
The vertices of the rotated triangle are $S'(-5, 5)$, $U'(-15, 10)$, $T'(-15, 5)$. When plotted and connected, these form the 90° clockwise rotation of $\triangle STU$ around the origin.