Geometry and Trigonometry practice question

Answer: 10

The horizontal change is 7 − 1 = 6 and the vertical change is 10 − 2 = 8. These are the legs of a right triangle whose hypotenuse is the distance: √(6² + 8²) = √100 = 10.

Common wrong answers

If you answered 2

2 is the difference between the two changes (8 − 6). The distance combines them with the Pythagorean theorem.

If you answered 14

14 is 6 + 8, adding the two changes. The distance is the hypotenuse, √(36 + 64), not the sum of the legs.

If you answered 100

100 is 6² + 8², the square of the distance. Take the square root to get 10.

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