# Analytic geometry - practice problems

Also known as coordinate geometry or Cartesian geometry.#### Number of problems found: 144

- Three

Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle - Lengths of medians from coordinates

There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - What is 19

What is the equation of the line whose x - intercept is - 3 and y - intercept is -4? Find coefficients A, B, C in normal line equation: Ax + By = C - Using

Using the point-slope equation, find the equation containing (-7, 3) and slope m = -4 - The coordinates

The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment? - What is 10

What is this The area of a parallelogram that has vertices with the coordinates (0, 0), (4, 0),(5, 3), and (1, 3)? - A circle

A circle relation is given to be x² + y² =16. What is the radius of the circle? - Polygon - area coordinates

Find the perimeter and the area of the polygon with the given vertices. T (2,7), U (2,9), V (5,9), W (5,7) - Quadrant four

Which point is located in Quadrant IV? A coordinate plane. A(-8, 6) B(-8, -6) C(8, -6) D(8, 6) - Luiza

Luiza delivers newspapers in her neighborhood. If you plot the points (-1, 1), (4, 1), (4, -2) and (-1, -2), you will create a representation of the route she takes, in miles. How many miles does her route cover? - Construct 8

Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: the vertices of this triangle must be the points A (1,7) B (-5,1) C (5, -11). the said problem should be used the concepts of: distance from a point to a li - A Cartesian framework

1. In a Cartesian framework, the functions f and g we know that: the function (f) is defined by f (x) = 2x ^ 2, the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, point (C) is the point of intersection of the graph - CoG center

Find the position of the center of gravity of a system of four mass points having masses, m_{1}, m_{2}= 2 m1, m_{3}= 3 m1, and m_{4}= 4 m_{1}, if they lie at the vertices of an isosceles tetrahedron. (in all case - Find quadrant

On a graph, Point Y is located at (4, -2). Point Z is located 5 units to the left of Point Y. In which quadrant is Point Z located? - Tangens parallelogram

If ∠BAD between the sides AB and AD of the parallelogram is θ, what is tan θ? See diagram: A=(7,1) B=(5,-2) C=(12,1) D=(14,4) - Parametric equation

Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 > - Determine

Determine which type of quadrilateral ABCD is and find its perimeter if you know coordinates of vertices: A/2,4 /, B / -2,1 /, C / -2, -2 /, D/2, -5 /. - Perpendicular projection

Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0. - Vertex points

Given the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area. - Place vector

Place the vector AB, if A (3, -1), B (5,3) in the point C (1,3) so that AB = CO

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Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc. See also more information on Wikipedia.