Question

triangle abc is shown on the coordinate grid.

triangle abc is rotated $90^{\circ}$ clockwise about the origin to create triangle abc. what are the vertices of triangle abc?
move the correct answer to each box. not all answers will be used. each answer may be used more than once.
-8 -3 -6 8 -5 6 5 3
a( , )
b( , )
c( , )

Explanation:

Step1: Identify original vertices

From the grid:
$A(-6, -3)$, $B(-5, 8)$, $C(9, 3)$

Step2: Apply 90° clockwise rotation rule

The rule for rotating a point $(x,y)$ 90° clockwise about the origin is $(x,y) \to (y, -x)$.

• For $A(-6, -3)$: $A'(-3, -(-6)) = (-3, 6)$
• For $B(-5, 8)$: $B'(8, -(-5)) = (8, 5)$
• For $C(9, 3)$: $C'(3, -9)$ (Note: -9 is not provided, but using given values, we confirm valid coordinates from the options)

Step3: Match to given values

Select from the provided numbers: -8, -3, -6, 8, -5, 6, 5, 3

Answer:

$A'(-3, 6)$
$B'(8, 5)$
$C'(3, -9)$ (using the only valid mapping from the rule; if restricted to given values, the coordinates use the provided numbers as: $A'(-3, 6)$, $B'(8, 5)$, $C'(3, -9)$ with -9 not in options, but the valid derived coordinates from the rotation rule are as above)