Explanation



Figure 1.

From Figure 1, you know that PQR is a triangle and that point S is between points P and R, so PS is less than PR. and SR is less than PR. You are also given that PQ is equal to PR. However, this information is not sufficient to compare PS and SR. Furthermore, because the figure is not necessarily drawn to scale, you cannot determine the relative sizes of PS and SR visually from the figure, though they may appear to be equal. The position of S can vary along side PR anywhere between P and R. Below are two possible variations of Figure 1, each of which is drawn to be consistent with the information PQ is equal to PR.



Figure 2.



Figure 3.

Note that Quantity A is greater in Figure 2 and Quantity B is greater in Figure 3. Thus, the correct answer is Choice D, the relationship cannot be determined from the information given.
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Sandy
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