Coordinate Geometry Explorations
Explore and analyze coordinate points, distances, midpoints, and geometric shapes on a Cartesian plane.
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Coordinate Geometry Explorations
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Plot the points A(3, 4) and B(-2, 1) on the coordinate plane below. Then, calculate the distance between points A and B.
Distance Calculation:
2. The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula: ( , ).
3. Find the coordinates of the midpoint of the line segment connecting P(7, -3) and Q(-1, 5).
Midpoint: ( , )
4. The slope of a horizontal line is undefined.
True
False
5. The equation of a circle centered at the origin with radius r is x² + y² = r².
True
False
6. Which of the following is the slope of the line passing through (2, 5) and (4, 11)?
2
3
-3
6
7. Write the equation of the line in slope-intercept form (y = mx + b) that passes through the point (1, -2) and has a slope of 3.
8. A triangle has vertices at A(0, 0), B(4, 0), and C(2, 3). Calculate the perimeter of the triangle.
Perimeter Calculation:
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