Square Viewing Rectangle Continuing with Exercise, make a conjecture about which viewing r...

Square Viewing Rectangle Continuing with Exercise, make a conjecture about which viewing rectangles result in the graph of a circle with radius 5 and center at the origin appearing circular.

Square Viewing Rectangle Graph the lines y = 2x and  in the standard viewing rectangle.

(a) Do the lines appear to be perpendicular?

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(b) Graph the lines in the following viewing rectangles.

i. [−15, 15, 1] by [−10, 10, 1]

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ii. [−10, 10, 1] by [− 3, 3, 1]

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iii. [−3, 3, 1] by [− 2, 2, 1]

Do the lines appear to be perpendicular in any of these viewing rectangles?

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(c) Determine the viewing rectangles where perpendicular lines will appear perpendicular. (Answers may vary.)

i. [− 9, 9, 1] by [− 6, 6, 1]

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ii. [− 5, 5, 1] by [ −10, 10, 1]

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iii. [−5, 5, 1] by [−5, 5, 1]

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iv. [−18, 18, 1] by [−12, 12, 1]

Test your conjecture by graphing this circle in each viewing rectangle. (Hint: Graph  and to create the circle.)