Question

the table shows the coordinates of the vertices of △rst and △rst. △rst has vertices r(15,15), s(15,−10), t(20,10). △rst has vertices r(5,15), s(5,−10), t(10,10). which translation maps △rst onto its image? options: 10 units down, 10 units up, 10 units to the right, 10 units to the left

Explanation:

Step1: Analyze x-coordinate change

For point \( R(15,15) \) to \( R'(5,15) \), \( 15 - 10 = 5 \). For \( S(15,-10) \) to \( S'(5,-10) \), \( 15 - 10 = 5 \). For \( T(20,10) \) to \( T'(10,10) \), \( 20 - 10 = 10 \). So x-coordinate decreases by 10.

Step2: Analyze y-coordinate change

Y-coordinates of \( R, R' \); \( S, S' \); \( T, T' \) are same. So no vertical change.

Step3: Determine translation direction

Decreasing x-coordinate means moving left. So translation is 10 units to the left.

Answer:

10 units to the left (the last option: 10 units to the left)