Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Position and Transformation, Exercise 4: Exercise 14.3

A triangle, $ABC$, has vertices at the points $A(2, 1), B(7, 1)$ and $C(2, 5)$. $ABC$ is translated $4$ squares right and $5$ squares up.

Find the vertices of $A\text{'}B\text{'}C\text{'}$.

A parallelogram, $PQRS$, has vertices at the points $P(3, 1), Q(8, 1), R(10, 4)$ and $S(5, 4)$. $PQRS$ is translated $1$ square left and $3$ squares up. The image of $PQRS$ is $P\text{'}Q\text{'}R\text{'}S\text{'}$.

Work out the coordinates of the vertices of $P\text{'}Q\text{'}R\text{'}S\text{'}$.

A pentagon, $JKLMN$, has vertices at $J(1, 3), K(3, 3), L(3, 5), M(2, 7)$ and $N(1, 5)$. The pentagon is translated $3$ squares right and $2$ squares down to $JKLMN$.

Work out the coordinates of the vertices of $J\text{'}K\text{'}L\text{'}M\text{'}N\text{'}$.

A pentagon, $JKLMN$, has vertices at $J(1, 3), K(3, 3), L(3, 5), M(2, 7)$ and $N(1, 5)$. The pentagon is translated $3$ squares right and $2$ squares down to $JKLMN$.

Draw the pentagon $J\text{'}K\text{'}L\text{'}M\text{'}N\text{'}$ on the grid.