Question

Rectangle efgh is translated according to the rule t�5, 9(x, y). if the coordinates of the pre-image of point h are (�2, �3), what are the coordinates of h'? (7, �8) (�7, 6) (3, �12) (2, 1)

Answer 1

The coordinates of point H' after the translation t−5, 9(x, y) applied to the original coordinates (−2, −3) are (3, 6).

Step-by-step explanation:

The student asked about the translation of point H in rectangle EFHG according to the rule T−5, 9(x, y). The rule signifies the shifting of point H by 5 units in the x-direction and by 9 units in the y-direction. Starting with the pre-image coordinates of point H at (−2, −3), the translation operation will add 5 to the x-coordinate and 9 to the y-coordinate. The calculation would be as follows:

• H'(x) = H(x) + 5 = −2 + 5 = 3
• H'(y) = H(y) + 9 = −3 + 9 = 6

Therefore, the coordinates of point H' after the translation are (3, 6).