Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 16, 2023

Find the coordinates of the vertex $A'$ after rotating triangle $ABC$ with vertices $A(1,5), B(5,2)$ , and $C(-1,2)$ by $90^{\circ}$ .

STEP 1

Assumptions1. The triangle ABC has vertices A(1,5), B(5,), and C(-1,). . The triangle is rotated90 degrees counterclockwise about the origin.

STEP 2

We need to find the new coordinates of point A after the rotation. The formula for rotating a point $(x, y)$ counterclockwise by90 degrees about the origin is given by $(x', y') = (-y, x)$

STEP 3

Now, plug in the coordinates of point A into the rotation formula to find the new coordinates.
$(x', y') = (-5,1)$ So, the coordinates of $A'$ after the rotation are $(-5,1)$ .

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