Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Position and Transformation, Exercise 3: Exercise 14.2

Amelia draws a square, $ABCD$, on a coordinate grid.
The coordinates of $A, B \text{and} C$ are $A(3, 5), B(7, 5) \text{and} C(7, 9)$.

What is the side length of the square? Explain how you worked out your answer.

Amelia draws a square, $ABCD$, on a coordinate grid.
The coordinates of $A, B \text{and} C$ are $A(3, 5), B(7, 5) \text{and} C(7, 9)$.

What are the coordinates of $D$? Explain how you worked out your answer.

A netball coach draws a coordinate grid to show players where she wants them at different times during a match.

The centre of the court is the point $\left(0, 0\right)$ and $1$ unit on the grid represents $2 m$ on the court.

So, a player at the point $\left(0, 3\right)$ is $3\times 2=6 m$ from the centre of the court.

The players in a netball team are:

$GS$ (goal shooter), $GA$ (goal attack), $WA$ (wing attack), $WD$ (wing defence), $GK$ (goal keeper), $GD$ (goal defence) and $C$ (centre)

At one time in the match, the players are at these coordinates:

$GS(- 5, 2), GA(- 5,-2), WA(-3, 2), C(-1, 0), GD (4, -2), WD (1 , -2), GK (6, 0)$

What is the distance on the court between these pairs of players?

$GS$ and $GA$

A netball coach draws a coordinate grid to show players where she wants them at different times during a match.

The centre of the court is the point $\left(0, 0\right)$ and $1$ unit on the grid represents $2 m$ on the court.

So, a player at the point $\left(0, 3\right)$ is $3\times 2=6 m$ from the centre of the court.

The players in a netball team are:

$GS$ (goal shooter), $GA$ (goal attack), $WA$ (wing attack), $WD$ (wing defence), $GK$ (goal keeper), $GD$ (goal defence) and $C$ (centre)

At one time in the match, the players are at these coordinates:

$GS(- 5, 2), GA(- 5,-2), WA(-3, 2), C(-1, 0), GD (4, -2), WD (1 , -2), GK (6, 0)$

What is the distance on the court between these pairs of players?

$GS$ and $WA$

A netball coach draws a coordinate grid to show players where she wants them at different times during a match.

The centre of the court is the point $\left(0, 0\right)$ and $1$ unit on the grid represents $2 m$ on the court.

So, a player at the point $\left(0, 3\right)$ is $3\times 2=6 m$ from the centre of the court.

The players in a netball team are:

$GS$ (goal shooter), $GA$ (goal attack), $WA$ (wing attack), $WD$ (wing defence), $GK$ (goal keeper), $GD$ (goal defence) and $C$ (centre)

At one time in the match, the players are at these coordinates:

$GS(- 5, 2), GA(- 5,-2), WA(-3, 2), C(-1, 0), GD (4, -2), WD (1 , -2), GK (6, 0)$

Which two players are $14 m$ apart on the court?

A netball coach draws a coordinate grid to show players where she wants them at different times during a match.

The centre of the court is the point $\left(0, 0\right)$ and $1$ unit on the grid represents $2 m$ on the court.

So, a player at the point $\left(0, 3\right)$ is $3\times 2=6 m$ from the centre of the court.

The players in a netball team are:

$GS$ (goal shooter), $GA$ (goal attack), $WA$ (wing attack), $WD$ (wing defence), $GK$ (goal keeper), $GD$ (goal defence) and $C$ (centre)

At one time in the match, the players are at these coordinates:

$GS(- 5, 2), GA(- 5,-2), WA(-3, 2), C(-1, 0), GD (4, -2), WD (1 , -2), GK (6, 0)$

Which three players are in a straight line?

A netball coach draws a coordinate grid to show players where she wants them at different times during a match.

The centre of the court is the point $\left(0, 0\right)$ and $1$ unit on the grid represents $2 m$ on the court.

So, a player at the point $\left(0, 3\right)$ is $3\times 2=6 m$ from the centre of the court.

The players in a netball team are:

$GS$ (goal shooter), $GA$ (goal attack), $WA$ (wing attack), $WD$ (wing defence), $GK$ (goal keeper), $GD$ (goal defence) and $C$ (centre)

At one time in the match, the players are at these coordinates:

$GS(- 5, 2), GA(- 5,-2), WA(-3, 2), C(-1, 0), GD (4, -2), WD (1 , -2), GK (6, 0)$

As the players $GA, GD \text{and} WD$ are in a straight line.

What are the distances on the court between these three players?

A netball coach draws a coordinate grid to show players where she wants them at different times during a match.

The centre of the court is the point $\left(0, 0\right)$ and $1$ unit on the grid represents $2 m$ on the court.

So, a player at the point $\left(0, 3\right)$ is $3\times 2=6 m$ from the centre of the court.

The players in a netball team are:

$GS$ (goal shooter), $GA$ (goal attack), $WA$ (wing attack), $WD$ (wing defence), $GK$ (goal keeper), $GD$ (goal defence) and $C$ (centre)

At one time in the match, the players are at these coordinates:

$GS(- 5, 2), GA(- 5,-2), WA(-3, 2), C(-1, 0), GD (4, -2), WD (1 , -2), GK (6, 0)$

Draw a coordinate grid that goes from $-6$ to $+6$ on the $x$-axis and $-3$ to $+3$ on the $y$-axis. Plot the positions of the seven players using the coordinates given.