Draw the slide image of each figure. Plot the given points, then connect the points in order. Draw each slide, then give the coordinates of the slide image.

The vertices are approximately $(2,6)$, $(1,4)$, and $(3,4)$.

A slide of 2 down and 4 right means that for each point $(x,y)$, the new point will be $(x+4, y-2)$.
\begin{align*} (2,6) &\to (2+4, 6-2) = (6,4) \ (1,4) &\to (1+4, 4-2) = (5,2) \ (3,4) &\to (3+4, 4-2) = (7,2) \end{align*}
The slide image is a triangle with vertices at $\boxed{\text{(6,4), (5,2), and (7,2)}}$. You should draw this triangle on the grid.

b) 5 left, 2 up

For the black outlined parallelogram, the vertices are approximately $(3,7)$, $(5,7)$, $(6,5)$, and $(4,5)$.
For the blue rectangle, the vertices are approximately $(7,4)$, $(9,4)$, $(9,2)$, and $(7,2)$.

A slide of 5 left and 2 up means that for each point $(x,y)$, the new point will be $(x-5, y+2)$.
\begin{align*} (3,7) &\to (3-5, 7+2) = (-2,9) \ (5,7) &\to (5-5, 7+2) = (0,9) \ (6,5) &\to (6-5, 5+2) = (1,7) \ (4,5) &\to (4-5, 5+2) = (-1,7) \end{align*}
The slide image of the parallelogram has vertices at $\boxed{\text{(-2,9), (0,9), (1,7), and (-1,7)}}$.

\begin{align*} (7,4) &\to (7-5, 4+2) = (2,6) \ (9,4) &\to (9-5, 4+2) = (4,6) \ (9,2) &\to (9-5, 2+2) = (4,4) \ (7,2) &\to (7-5, 2+2) = (2,4) \end{align*}
The slide image of the blue rectangle has vertices at $\boxed{\text{(2,6), (4,6), (4,4), and (2,4)}}$. You should draw both slide images on the grid.

3. Plot the given points, then connect the points in order. Draw each slide, then give the coordinates of the slide image.

a) Points: (2,4), (2,2), (4,2). Slide 4 right, 4 up.

The original points are $A=(2,4)$, $B=(2,2)$, and $C=(4,2)$. Connecting them forms a right-angled triangle.

A slide of 4 right and 4 up means that for each point $(x,y)$, the new point will be $(x+4, y+4)$.
\begin{align*} (2,4) &\to (2+4, 4+4) = (6,8) \ (2,2) &\to (2+4, 2+4) = (6,6) \ (4,2) &\to (4+4, 2+4) = (8,6) \end{align*}
The coordinates of the slide image are $\boxed{\text{(6,8), (6,6), and (8,6)}}$. You should plot these new points and connect them to draw the slide image.

b) Points: (9,9), (6,8), (6,5), (9,5). Slide 3 down and 2 left.

The original points are $P=(9,9)$, $Q=(6,8)$, $R=(6,5)$, and $S=(9,5)$. Connecting them forms a quadrilateral.

A slide of 3 down and 2 left means that for each point $(x,y)$, the new point will be $(x-2, y-3)$.
\begin{align*} (9,9) &\to (9-2, 9-3) = (7,6) \ (6,8) &\to (6-2, 8-3) = (4,5) \ (6,5) &\to (6-2, 5-3) = (4,2) \ (9,5) &\to (9-2, 5-3) = (7,2) \end{align*}
The coordinates of the slide image are $\boxed{\text{(7,6), (4,5), (4,2), and (7,2)}}$. You should plot these new points and connect them to draw the slide image.