Question

zane graphed a parallelogram on the coordinate grid shown. zane then translated the parallelogram up 5 units. which coordinate grid shows the translation?

Explanation:

Step1: Recall translation rule

For a vertical translation up by \(k\) units, \(y
ightarrow y + k\) and \(x\) remains unchanged. Here \(k = 5\).

Step2: Apply rule to parallelogram

Increase y - coordinates of all vertices by 5.

Answer:

When a figure is translated up 5 units, each y - coordinate of the vertices of the figure increases by 5 while the x - coordinates remain the same. Without seeing the actual options clearly, we know that the new parallelogram should be 5 units above the original one. If we assume the original vertices of the parallelogram have coordinates \((x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)\), the new vertices after translation up 5 units will be \((x_1,y_1 + 5),(x_2,y_2+5),(x_3,y_3 + 5),(x_4,y_4+5)\). Look for the option where the entire parallelogram is shifted 5 units vertically upwards.