TRANSLATIONS

Plot rectangle ABCD on the coordinate plane. The vertices of the rectangle are located at A(-5,7), B(2,7), C(2,4), and D(-5,4).

Use the following rule to also plot A'B'C'D'.

$$\left(x,y\right)\rightarrow\left(x+3,\ y-4\right)$$

(you should have a total of 8 points).

A TRANSLATION is a type of transformation that (a)   a figure.

Determine if the following statement is true or false.

" A translation moves the figure around in the coordinate plane and the figure will NOT maintain congruence."

Point Z(1,5) is translated 10 units down.

Which are the coordinates of point Z' ?

YOUR ANSWER SHOULD BE IN COORDIANTE FORM, DO NOT ADD ANY SPACES.

Match each translation according to their rule and explanation.

Determine the coordinates of each point after the following translation.

$$\left(x,y\right)\rightarrow\left(x+6,\ y-4\right)$$

Apply the following transformation to Point C.

$$\left(x,y\right)\rightarrow\left(x-3,y+2\right)$$ .

Identify the location of C'.

What are the coordinates for Point A?​ (a)  

What will be the new coordinates if I slide 2 to the left and 4 down?​ (b)  

Organize these options into the right categories based on their key words.

Plot $$\Delta PRD$$ P(-8,2), R(-5,4), and D(-7,7).

apply the rule $$\left(x,y\right)\rightarrow\left(x+4,y+1\right)$$ and plot $$\Delta P'R'D'$$ on the plane.

Then, translate once more to create $$\Delta P''R''D''$$ by moving it 7 units down and 4 units to the right.

YOU SHOULD HAVE A TOTAL OF 9 POINTS.