PSAT Math Multiple-Choice Question 597: Answer and Explanation

Question: 597

In the below drawing, lines AB and CD are parallel. Lines EF and GH intersect line AB at the same point and with the angle measures as indicated. What is the perimeter of the triangle formed by lines CD, EF, and GH between lines AB and CD?

• A. 2
• B. 4
• C. 6
• D. 8

Correct Answer: C

Explanation:

(C) Perimeter is the sum of the side measures of the triangle. The internal angles of the triangle formed are all 60 degrees. Since the angles are all congruent, the sides of the triangle are all congruent as well. Thus, the perimeter of the triangle is 2 + 2 + 2 = 6 units. You can see this more clearly in the diagram below: