Math Problem Statement
Solution
This appears to be a math homework problem involving the application of the Pythagorean Theorem in the coordinate plane.
Let's break down the questions based on the image:
-
Renee's travel distance:
- Renee travels a straight line from the lodge to the campsite, with the distance between grid lines representing 500 feet. We need to apply the Pythagorean Theorem to determine how far she travels.
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Distance between points E and F:
- You are asked to find the distance between points E and F, rounded to the nearest tenth of a unit.
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Graphing a right triangle:
- The problem asks you to plot points (-2, -4) and (-4, -1) on your paper and then draw a right triangle using these as endpoints of the hypotenuse. After that, you are to determine:
- A possible coordinate pair for the third vertex.
- The vertical and horizontal distances between the points.
- The distance between these points (rounded to the nearest tenth).
- The perimeter of the triangle formed by these points.
- The problem asks you to plot points (-2, -4) and (-4, -1) on your paper and then draw a right triangle using these as endpoints of the hypotenuse. After that, you are to determine:
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Math Problem Analysis
Mathematical Concepts
Pythagorean Theorem
Distance Formula
Coordinate Geometry
Formulas
Pythagorean Theorem: a^2 + b^2 = c^2
Distance Formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-9
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