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The following set of coordinates represents which figure? (2, 5), (1, 3), (2, 1), (3, 3)

a) Square
b) Rectangle
c) Triangle
d) Rhombus

User Kaustuv
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1 Answer

4 votes

Final answer:

After plotting and connecting the given coordinates, the figure formed is identified as a rhombus. This is because it has equal length sides but does not have equal diagonals or right angles.

Step-by-step explanation:

To determine which figure the set of coordinates represents, we need to visualize the points on a coordinate system and connect them sequentially. The coordinates given are (2, 5), (1, 3), (2, 1), and (3, 3). When plotted, these points form a figure where opposite sides are equal in length and the diagonals intersect at right angles but are not equal in length, which is characteristic of a rhombus. The points can be connected in such a way that (2,5) connects to (1,3) which connects to (2,1) which then connects to (3,3) and finally back to (2,5). The sides are of equal length, defining a rhombus, but the figure is not a square because the angles are not 90 degrees. This disqualifies options a), square; b), rectangle; and c), triangle, leaving us with option d), rhombus, as the correct answer.

User Kmaork
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