Question

the vertices of the square are (6, 6), (6, -6), (-6, -6), and (-6, 6). if the square is dilated by 3, then find the coordinates of the dilated square.

○ (-18, 18), (18, -18), (-18, -18), and (-18, 18)

○ (18, 18), (18, -18), (-18, -18), and (-18, 18)

○ (18, 18), (-18, -18), (-18, -18), and (-18, 18)

○ (-18, 18), (-18, -18), (-18, -18), and (-18, 18)

Explanation:

Step1: Recall Dilation Rule

Dilation about the origin: multiply each coordinate by the scale factor.

Step2: Apply Dilation to Each Vertex

• For \((6, 6)\): \(6\times3 = 18\), \(6\times3 = 18\) → \((18, 18)\)
• For \((6, -6)\): \(6\times3 = 18\), \(-6\times3 = -18\) → \((18, -18)\)
• For \((-6, -6)\): \(-6\times3 = -18\), \(-6\times3 = -18\) → \((-18, -18)\)
• For \((-6, 6)\): \(-6\times3 = -18\), \(6\times3 = 18\) → \((-18, 18)\)

Answer:

B. (18, 18), (18, -18), (-18, -18), and (-18, 18)