Math  /  Geometry

Question(4) Explain what is wrong with each of the following. (a) Point QRSQ R S. (b) ACundefined\overleftrightarrow{A C} and BDundefined\overleftrightarrow{B D} bisect each other. (C) Point MM \cong Point WW

Studdy Solution
Analyze the statement "Point MM \cong Point WW".
The symbol \cong means "congruent to," which is used for figures that have the same shape and size, such as angles, segments, or geometric shapes. Points are not shapes; they do not have dimensions to compare for congruence. Therefore, stating "Point MM \cong Point WW" is incorrect. Instead, it should state that points MM and WW are the same point if they coincide.
Solution: (a) The issue with "Point QRSQ R S" is that a point must be represented by a single letter, not multiple letters. (b) The issue with "ACundefined\overleftrightarrow{A C} and BDundefined\overleftrightarrow{B D} bisect each other" is that for them to bisect each other, they must intersect at their midpoints, which is not generally true for all intersecting lines. (c) The issue with "Point MM \cong Point WW" is that the symbol \cong is used for comparing shapes and sizes, not individual points.

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