Question

HELP ASAP !!!!

The coordinates of a triangle are described by a matrix, where the rows represent each point, A, B, and C, from top row to bottom row, and column 1 represents the x coordinates and column 2 represents the y coordinates. What transformation does the following matrix represent when added to the first matrix?
A. A rotation about the origin clockwise by 90°
B. A flip over the y-axis
C. A translation to the left by 20 units and down by 20 units
D. A translation to the right by 20 units and down by 20 units

Answer 1

D. A translation to the right by 20 units and down by 20 units

Explanation:

You want to know the effect of adding (20, -20) to the (x, y) coordinates of the vertices of a triangle.

Transformation

The x-coordinate of a point tells you its position to the right of the y-axis. Adding 20 to the x-coordinate moves its position 20 units farther to the right.

The y-coordinate of a point tells you its position above the x-axis. Subtracting 20 from the y-coordinate moves its position down 20 units.

The matrix represents the transformation ...

A translation to the right by 20 units and down by 20 units, choice D.

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