Math Problem Statement
Amar drew the coordinates of the endpoints of QR¯¯¯¯¯¯¯¯QR¯ at Q (8, 2)Q (8, 2) and R (5, 7)R (5, 7).
Which measurement is closest to the length of QR¯¯¯¯¯¯¯¯QR¯ in units Amar drew on the coordinate plane?
A.5.8 units5.8 units
B.5 units5 units
C.4 units4 units
D.3.9 units3.9 units
Solution
To find the length of , we can use the distance formula for two points and , which is:
Given the points and , we substitute into the formula:
Simplifying:
Therefore, the closest measurement to the length of is:
A. 5.8 units
Would you like further details or clarifications?
Here are 5 related questions:
- How would you find the midpoint of segment ?
- What is the slope of the line passing through and ?
- Can you determine the equation of the line containing ?
- How would the length of the segment change if and were moved closer?
- Can the distance formula be used in three dimensions?
Tip: The distance formula is derived from the Pythagorean Theorem, where the difference in - and -coordinates forms the legs of a right triangle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Distance Between Two Points
Formulas
Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 6-8
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