Practice Distance Formula (7.2) - COORDINATE GEOMETRY

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8 questions

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6 sample questions

Question 1.
What is the distance between the points (2, 3) and (4, 1)?
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Use the Distance Formula.
Question 2.
Calculate the distance between (0, 0) and (4, 4).
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Find the differences in both coordinates.
3Question 3.
What is the formula to calculate the distance between two points?
- d = √[(x2 - x1)² + (y2 - y1)²]
- d = (x2 - x1) + (y2 - y1)
- d = (x2 + x1) - (y2 + y1)
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Think of how we measure length in terms of a triangle.
4Question 4.
True or False: The distance between any two points is always a positive number.
- True
- False
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Consider what distance means in everyday terms.
Question 5.
Given points A(2,3), B(4,5), and C(-1,-1). Prove whether the points form a triangle and classify the triangle.
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Use the Distance Formula and triangle inequality theorem.
Question 6.
Determine the distance from the point (-3, -4) to the point (1, 2), then calculate the point on the line towards the origin equidistantly.
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Consider the relationship of the coordinates towards zero.

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