Coordinate Geometry Explorations

Explore and analyze coordinate points, distances, midpoints, and geometric shapes on a Cartesian plane.

Grade 12 Math Data and GraphingCoordinate Points on a Plane

Use This Worksheet

Includes

3 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSG.GPE.B.4CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

coordinate geometrygrade 12mathgraphing

8 sections · Free to use · Printable

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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)?

-3

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: