Question

In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ . What is CE ? Enter your answer in the box. ft

Answer 1

The segments AE, EC, AD and DB are in proportion.

Therefore we have the equation:

$\dfrac{CE}{BD}=\dfrac{AE}{AD}$

AE = 4ft, AD = 8ft and BD = 2ft. Substitute:

$\dfrac{CE}{2}=\dfrac{\not4^1}{\not8_2}$      multiply both sides by 2

$CE=\dfrac{1}{\not2_1}\cdot\not2^1\\\\\boxed{CE=1\ ft}$