Question 35 Answer and Explanation _ACT December 2010 Form 69A Math Section

Use the following information to answer questions 33-35.

In the figure below, point B lies on side AC of rectangle ACDE. Line segments AD and BD are also shown. The given lengths are in inches.

35. Point B is reflected across the line (not shown) that connects the midpoints of AE and CD. This reflection of B is labeled F. How many inches from AC is the intersection of CF and BD ？

A. $7\frac{1}{2}$

B. 8

C. $12\frac{1}{2}$

D. 15

E. $19\frac{1}{2}$

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

The distance from the intersection of the diagonals of the rectangle to the two long sides is equal, so the distance from the intersection of CF and BD to AC is 0.5×15=7.5. Choose A.