Question

If a scale factor of 1/5 is used to make a reduction, what is the base of the original triangle? reduced triangle height 3 base 5 ..original triangle 0 base 0

A.1
B.10
C.15
D.25

Answer 1

the answer is the option D
`25`

Explanation:

Let

x-----> the measure of the base reduced triangle

y-----> the measure of the base original triangle

we know that

The scale factor is equal to

`scale\ factor=(x)/(y)`

In this problem we have

`scale\ factor=(1)/(5)`

`x=5\ units`

Substitute and solve for y

`(1)/(5)=(5)/(y)`

`y=5*5=25\ units`

Answer 2

If the scale factor is 1/5, that means the original triangle would have dimensions 5 times larger than the current model. So if the current base is 5 units in size, the original triangle would be 5 times larger. 5 x 5 = 25 Units The answer is D.