Question

1. draw the image of figure rstu after a translation of 4 units left and 5 units down. label the image rstu.

Explanation:

Step1: Identify coordinates of RSTU

(Assume original coordinates: Let's say R(x₁,y₁), S(x₂,y₂), T(x₃,y₃), U(x₄,y₄) from the figure. Since the figure isn't shown, we'll use the translation rule.)

Step2: Apply translation rule

For a translation 4 units left (subtract 4 from x - coordinate) and 5 units down (subtract 5 from y - coordinate). So new coordinates:

• \( R'(x_1 - 4, y_1 - 5) \)
• \( S'(x_2 - 4, y_2 - 5) \)
• \( T'(x_3 - 4, y_3 - 5) \)
• \( U'(x_4 - 4, y_4 - 5) \)

Step3: Plot new points

Plot \( R', S', T', U' \) using the new coordinates and connect them to get the translated figure.

Answer:

(The answer is the drawing of the figure \( R'S'T'U' \) with vertices at \( (x_i - 4, y_i - 5) \) for each original vertex \( (x_i,y_i) \) of \( RSTU \). Since it's a drawing task, the key is to apply the translation rule to each vertex and plot the new figure.)