ISEE Mathematics Achievement Question 281: Answer and Explanation

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Question: 281

11.

The distance between points A and B in the coordinate plane above is

A. 5
B. 6
C. 8
D. 10

Correct Answer: D

Explanation:

D To find the distance between two points, draw a right triangle and use the Pythagorean Theorem. Draw a line straight down from point B and directly right from point A. That point will be (7,1), which you can label C. The distance from A to C is 6, and the distance from C to B is 8. Use the Pythagorean Theorem to find the missing side: 6² + 8² = c². Simplify the left side to get 36 + 64 = 100. Take the square root of both sides to get c = 10. The correct answer is (D).

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