Question

1. Draw the rotation of the

triangle about origin by 270°
2. Draw the translation of the
original figure under the rule
(x,y) → (X.y+3)
t

Answer 1

To rotate the triangle about the origin by 270°, use the rotation matrix. To translate the original figure under the given rule, add 3 to the y-coordinate.

Step-by-step explanation:

To rotate a triangle about the origin by 270°, we can use the rotation matrix.

Rotating a point (x, y) by 270° counterclockwise gives us the new coordinates:

x' = -y, y' = x. Substitute the x and y values of each vertex of the triangle into these equations to find the new coordinates.

To translate the original figure using the rule (x,y) → (x,y+3), we simply add 3 to the y-coordinate of each vertex. The x-coordinate remains unchanged.

Substitute the x and y values of each vertex of the triangle into this rule to find the new coordinates.