To solve a problem in which a figure is described but not shown, draw your own figure. Draw the figure as accurately as possible, labeling as many parts as possible, including any unknowns.
Drawing figures can help in geometry problems as well as in other types of problems. For example, in probability and counting problems, drawing a diagram can sometimes make it easier to analyze the relevant data and to notice relationships and dependencies.
• This strategy is used in the following sample question.
This is a Multiple-Choice – Select One Answer Choice question.
-
Which of the following numbers is farthest from the number 1 on the number line?
(A)
(B)
(C) 0
(D) 5
(E) 10Explanation
Circling each of the answer choices in a sketch of the following number line shows that of the given numbers,
is the greatest distance from 1.
Another way to answer the question is to remember that the distance between two numbers on the number line is equal to the absolute value of the difference of the two numbers. For example, the distance between
and 1 is
and the distance between 10 and 1 is
The correct answer is Choice A,

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