<p>Section 9:
12. Figure problem. Basically it looks like an acute triangle with a line that goes through the middle of the two midpoints of the legs of the triangle. But the figure is not drawn to scale. If you have the book, it’s on page 746</p>
<p>Points P, A, and B are equally spaced on line l and points P, Q, and R are equally spaced on line m. If PB =4, PR = 6, and AQ=4, what is the perimeter of the uadrilateral QABR?
A. 13
B. 14
C. 15
D. 16
E. 17
First, fill in the numbers onto the figure. Then make marks for congruent segments PA and AB as well as the pair PQ and QR. AQ joins the midpoint of two sides of a triangle. By the midpoint theorem from geometry, AQ is parallel to BR and is half as long as BR. Since AQ = 4, BR = 8.
So the perimeter of QABR = AB + BR + QR + AQ = 2 + 8 + 3 + 4 = 17
Answer: E</p>