Question

If triangle CDE is dilated by a scale factor of 1/5 with a center of dilation at vertex E, what is the area of triangle C'D'E'?

A) 2 units2
B) 4 units2
C) 8 units2
D) 16 units2

Answer 1

The correct answer would be Choice B: 4 square units.

When the scale factor is 1/5, that means the lengths of the sides are 1/5 of the original size. So instead of having a base of 20 and height of 10, the new triangle has a base of 4 and a height of 2.

The area of the triangle is: (4 x 2) / 2 = 4

Answer 2

B) 4 units2

Explanation:

The resultant triangle frmo the dilatation would have 1/5 of the size on each size, in the original triangle the base is 10 units and the height is 20 units, so 1/5 of 10 would be 2, and 1/5 of 20 would be 4, the resultant triangle from the dilatation at 1/5 would have an area of 4 squared units.

The area of the triangle is calculated with the next formula:

`area=(basexheight)/(2) \\area=(4x2)/(2) \\Area=4u^(2)`