Atriangle with an area of 3 mm² is dilated by a factor of 6. what is the area of the dilated triangle? 9 mm² 12 mm² 18 mm² 108 mm²

The area of the dilated triangle is 108 mm²

Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor.

Area of a triangle (A) = (1/2) * base (b) * height (h)

A = (1/2)bh

Since the area is 3 mm², hence:

(1/2)bh = 3

If the triangle is dilated by a factor of 6, new base (b') = 6b, new height (h') = 6h. Hence:

New area (A') = (1/2)b'h'

A' = (1/2) * 6b * 6h = 36 * (1/2) * b * h

A' = 36A = 36 * 3

A' = 108 mm²

The area of the dilated triangle is 108 mm²

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