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Apr
22
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Mathematics > Standard Multiple Choice

Which of the following statements must be true of the lengths of the segments on line above?

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# Right-o!

### Explanation

Consider each statement separately. For example, consider statement , . From the figure, you can see that segment is made up of the segments , , and . This tells you that cannot equal , since cannot equal zero. Statement is not true.

Consider statement , . Since is between and , it follows that . Since is between and , it follows that . Therefore, . Since both and equal , they are equal to each other. Statement is true.

Consider statement , . The left side of the equation, , is equivalent to . The right side of the equation, , is equivalent to . Since cannot equal zero, is not equal to . Statement is not true.

Statement is the only one that is true.