Question

If triangle DEF is congruent to triangle LMN and the scale factor is 0.25, find the dimensions of LMN.

Answer 1

Answer:

LM=2 ft, LN=2 ft and MN=1.5 ft.

Explanation:

In Triangle DEF, the lengths of the sides are as follows:

• DE=8 ft

,

• DF = 8ft

,

• EF = 6 ft

The scale factor =0.25

Therefore, we have that:

$\begin{gathered} LM=DE\times0.25 \\ =8\times\frac{1}{4} \\ LM=2ft \end{gathered}$

Similarly:

$\begin{gathered} MN=EF\times0.25 \\ =6\times\frac{1}{4}=\frac{3}{2} \\ MN=1.5ft \end{gathered}$

The dimensions of triangle LMN are:

LM=2 ft, LN=2 ft and MN=1.5 ft.