Question

mapping figures using transformations
quiz complete
1 2 3 4 5 6 7 8
time remaining
35:32
which algebraic rule describes the transformation of
rectangle rstu to rstu?
t_(7, 0)
t_(-7, 0)
t_(0, -7)
t_(0, 7)

Explanation:

Step1: Identify a point on original and transformed rectangle

Let's take point \( R \) from rectangle \( RSTU \) and \( R' \) from \( R'S'T'U' \). From the graph, original \( R \) seems to be at \( (-5, -4) \) and transformed \( R' \) is at \( (2, -4) \).

Step2: Calculate the horizontal and vertical change

Horizontal change (\( \Delta x \)): \( 2 - (-5) = 7 \), vertical change (\( \Delta y \)): \( -4 - (-4) = 0 \). So the translation vector is \( (7, 0) \), which is \( T_{(7, 0)} \).

Answer:

\( T_{(7, 0)} \) (the first option)