Question

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

Answer 1

14 units

Step-by-step explanation:

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

`(FH)/(BD)=(EG)/(AC)`

Substitute the given side lengths:

`\begin{gathered} (6)/(3)=(EG)/(7) \\ 2=(EG)/(7) \\ \implies EG=2*7 \\ EG=14 \end{gathered}`

The measurement of line EG is 14 units.