Question

Quadrilateral HGEF is a scaled copy of quadrilateral DCAB. What is themeasurement of lin EG?

Answer 1

Answer:

14 units

Explanation:

If quadrilaterals HGEF and DCAB are similar, then the ratio of some corresponding sides is:

$\frac{FH}{BD}=\frac{EG}{AC}$

Substitute the given side lengths:

$\begin{gathered} \frac{6}{3}=\frac{EG}{7} \\ 2=\frac{EG}{7} \\ \implies EG=2\times7 \\ EG=14 \end{gathered}$

The measurement of line EG is 14 units.