The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T, and U, but not necessarily in the same order. Consider the following statements:
- The line joining P and R is parallel to the line joining Q and S.
- P is placed on the side opposite to corner T.
- S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information?
(A)
P cannot be placed at a corner
(B)
S cannot be placed at a corner
(C)
U cannot be placed at a mid-point
(D)
R cannot be placed at a corner
Answer: (B)
Explanation:
We need to draw the diagram based on the given conditions in the question.
Now we can observe the second stated condition, which states that P is on the side opposite to corner T. This means that if we consider T at any corner point, P will be on the other side.
Similarly, if we examine the first condition, which states that P and R are parallel to Q and S, we can see that S cannot be on any of the corners when analyzed with the use of a diagram.
Also, we need to check the third condition before confirming option B.
Quiz of this Question
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