Directions· Multiple Choice Questions
In the following problems, you are given four answers. Choose the right answer.
There is only ONE correct answer to each question.
[Figure: triangle abc.] The straight line gf joins the mid-points of sides ab and ac, and the straight line ed joins the mid-points of ag and af. What is the ratio of ae to ac?
- 2/3
- 1/8
- 1/3
- 1/4
Show answer
Correct answer: D. 1/4
Why
gf is a midsegment, so ag = half of ab and af = half of ac. ed then joins the midpoints of ag and af, so ae is half of af, i.e. a quarter of ac: ae/ac = 1/4.