# Analytic geometry - practice problems

Also known as coordinate geometry or Cartesian geometry.#### Number of problems found: 180

- An odd function

If the points (5, -6) and (-3, 4) lie on the graph of an odd function f, then what are the values of f(-5) and f(3)? Is it possible to know this without seeing the graph of f? - Polygon 3

Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A, B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - Intersection 74914

Find the perimeter of triangle ABC, where point A is the beginning of the coordinate system, and point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function w - Equal distance

Find the equation for all the points (x, y,) that are equal in distance from the points A(5,-2) and B(-2,10)? - The slope

Find the slope of the line that passes through the following two points: (-3, 16) and (-5, 30) Give your answer as a number, rounded to the nearest tenth, if necessary. - Which 12

Which table shows a proportional relationship between x and y? A) x 3 9 10 15 y 1 3 4 5 B) x 2 3 5 6 y 3 4 7 9 C) x 1 5 8 10 y 15 75 120 150 D) x 4 6 8 10 y 6 8 10 12 - A Ferris wheel

A Ferris whee with a diameter of 100 feet makes 5 revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3PM sharp. a) wrote an equation to express the height in feet of your friend at any given time in secon - Divide line segment

Find the point P on line segment AB, such that |AP| = r |AB| . Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - A man 7

A man wandering in the desert walks 3.8 miles in the direction S 44° W. He then turns and walks 2.2 miles in the direction N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.) - A circle 2

A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies on this circle. What is r and y (or y1, y2)? - Calculate 66814

Calculate the area and perimeter of the right triangle ABC, if A [5.5; -2.5] B [-3; 5] C [-3; -2.5] - Coordinates 66474

Draw a trapezoid in the coordinate system with bases 4cm long, 2cm long, and 3cm high. Please write down the coordinates of its vertices. - Coordinates 65224

The line PQ is determined by points with coordinates P = [- 2; 4] and Q = [4; 0]. What are the coordinates of the center S of the line segment PQ? - Intersections 62784

A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - 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)?

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