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hjlf
1 year ago
13

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

Mathematics
1 answer:
lozanna [386]1 year ago
3 0

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.

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