The vertices of a triangle are $A (- 4, 2), B (- 2, 2)$ and $C (- 3, 4)$ . Rotate the triangle as described. Find the coordinates of the image.
$180 °$ about the origin.

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Solution

Find the coordinates of image after rotation.
Given, coordinates are $A (- 4, 2), B (- 2, 2)$ and $C (- 3, 4)$ .
Since, we know that rotation of $180 °$ about the origin then coordinates changes as:
$A (x, y) = A' (- x, - y)$
Using the above criteria of rotation for new coordinates are:
$A (- 4, 2) = A' (4, - 2) B (- 2, 2) = B' (2, - 2) C (- 3, 4) = C' (3, - 4)$
Hence, the coordinates of image after rotation are $A' (4, - 2), B' (2, - 2)$ and $C' (- 3, 4)$ .

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The vertices of a triangle are A(-4,2),B(-2,2) and C(-3,4). Rotate the triangle as described. Find the coordinates of the image.180° about the origin.

The vertices of a triangle are $A (- 4, 2), B (- 2, 2)$ and $C (- 3, 4)$ . Rotate the triangle as described. Find the coordinates of the image.
$180 °$ about the origin.