The coordinates of the points A, B, C and D are given. If so, choose the correct coordinates of point E such that ABCDE forms a pentagon.

A(2,2); B(2,6); C(6,6); D(8,4)

E(2,4)

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E(4,6)

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E(7,5)

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E(6,2)

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Solution

The correct option is D E(6,2)
Drawing ABCDE for each case, we find:

$C a s e 1 : E (2, 4)$

$C a s e 2 : E (4, 6)$

$C a s e 3 : E (7, 5)$

$C a s e 4 : E (6, 2)$

As we can see, only case 4 shows a single polygon with 5 sides and 5 vertices.

Hence, the only case where ABCDE forms a pentagon is when the coordinates of E are (6,2)

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The coordinates of the points A, B, C and D are given. If so, choose the correct coordinates of point E such that ABCDE forms a pentagon. A(2,2); B(2,6); C(6,6); D(8,4)

The correct option is D E(6,2)Drawing ABCDE for each case, we find: Case 1:E (2,4) Case 2:E (4,6) Case 3:E (7,5) Case 4:E (6,2) As we can see, only case 4 shows a single polygon with 5 sides and 5 vertices. Hence, the only case where ABCDE forms a pentagon is when the coordinates of E are (6,2)

The coordinates of the points A, B, C and D are given. If so, choose the correct coordinates of point E such that ABCDE forms a pentagon.

A(2,2); B(2,6); C(6,6); D(8,4)