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Select the correct answerPoint A is 3km north of the point B. Point C is 6 km east of point B.Point D is 2km south of point C. Point E is 3km west of point D.Point F is 5km north of point E point G is 3km west of point C.Which of the following points if joined will form a perfect square?OptionsAFGBDBFCAFCBEGCD

Question

Select the correct answerPoint A is 3km north of the point B. Point C is 6 km east of point B.Point D is 2km south of point C. Point E is 3km west of point D.Point F is 5km north of point E point G is 3km west of point C.Which of the following points if joined will form a perfect square?OptionsAFGBDBFCAFCBEGCD

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Solution

The points that will form a perfect square when joined are B, F, C, and G.

Here's the step-by-step explanation:

  1. Point A is 3km north of B. So, A and B form a vertical line.
  2. Point C is 6km east of B. So, B and C form a horizontal line.
  3. Point D is 2km south of C. So, C and D form a vertical line.
  4. Point E is 3km west of D. So, D and E form a horizontal line.
  5. Point F is 5km north of E. So, E and F form a vertical line.
  6. Point G is 3km west of C. So, C and G form a horizontal line.

Now, if we look at the distances:

  • B to C is 6km (eastwards)
  • C to G is 3km (westwards)
  • So, B to G is 3km (eastwards)

And,

  • B to F is 5km (northwards)
  • F to C is 5km (eastwards)
  • So, B to C is 5km (northwards)

Therefore, BFGC forms a square of side 3km.

This problem has been solved

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