Question

trapezoid abcd is similar to trapezoid gfhe, with da=12, bc=8, and fh=4. what is eg? 12 4 6 8

Explanation:

Step1: Identify corresponding sides

In similar trapezoids ABCD and GFHE, DA corresponds to EG, BC corresponds to FH.

Step2: Set up proportion

Since similar figures have proportional sides: $\frac{DA}{EG} = \frac{BC}{FH}$
Substitute values: $\frac{12}{EG} = \frac{8}{4}$
Simplify right side: $\frac{12}{EG} = 2$
Solve for EG: $EG = \frac{12}{2} = 6$

Answer:

6