Draw Your Own Figure
Question 3 with Solution

Last week, I went over a strategy for solving certain math problems on standardized tests by drawing a figure, and I gave you four problems to try on your own. You can see that post here: Math Strategy: Draw Your Own Figure

Today I would like to give a solution to the third of those four problems. You can see solutions for the first two problems here: Draw Your Own Figure: Q1   Q2.

Example: Point A is a vertex of a 6-sided polygon. The polygon has 6 sides of equal length and 6 angles of equal measure. When all possible diagonals are drawn from point A in the polygon, how many triangles are formed?

Try to solve the problem yourself before checking the solution below.

Solution: We draw a picture.

hexagon with diagonals

Observe that the number of triangles is 4.


More Problems with Explanations

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