Question

Lacy draws two triangles. The small has a base length of 7 inches and a height of 10 inches. The larger triangle has a length of 12 inches and a height of 15 inches. Is the larger triangle a scaled copy of the smaller one? explain or show your reasoning.

Answer 1

Smaller triangle

base length = 7 inches

height = 10 inches

Larger triangle

base length = 12 inches

height = 15 inches

Let's check for the scale factors

For the base

Scale factor = 12/7 = 1.71

For the height

scale factor = 15/10 = 1.5

The larger triangle is not a scaled copy of the smaller one

Because from the above the scale factors of the base and height of the two triangles are not the same