Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Position and Transformation, Exercise 6: Exercise 14.5

Copy the diagram and rotate the shape, using the information given.

$90°$ anticlockwise centre $\left(1,3\right)$

Copy the diagram and rotate the shape, using the information given.

$90°$ clockwise centre $\left(1,1\right)$

Copy the diagram and rotate the shape, using the information given.

$180°$ centre $\left(4,3\right)$

Draw a coordinate grid that goes from $0$ to $8$ on the x-axis and $0$ to $4$ on the y-axis.

Draw the rectangle on your grid, which has vertices at $\left(1,1\right), \left(5,1\right), \left(5,3\right), \& \left(1,3\right)$.

What is the area of the rectangle?

Draw a coordinate grid that goes from $0$ to $8$ on the x-axis and $0$ to $4$ on the y-axis.

Draw the rectangle on your grid, which has vertices at $\left(1,1\right), \left(5,1\right), \left(5,3\right), \& \left(1,3\right)$.

Rotate the rectangle $180°$ about the centre $(4,2)$ and draw the image.

Draw a coordinate grid that goes from $0$ to $8$ on the x-axis and $0$ to $4$ on the y-axis.

Draw the rectangle on your grid, which has vertices at $\left(1,1\right), \left(5,1\right), \left(5,3\right), \& \left(1,3\right)$.

The object and image drawn from $\left(4,2\right)$ together make one rectangle. What is the area of this rectangle?

Rotate the shape $90°$ clockwise about the centre $\left(3,3\right)$.

Rotate the shape $180°$ about centre $\left(4,2\right)$.