# Searching in math word problems: analytical geometry ...

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Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are 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 line, rati - A triangle 6

A triangle has vertices on a coordinate grid at H(-2,7), I(4,7), and J(4,-9). What is the length, in units, of vector HI? - Coordinate axes

Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - XY triangle

Determine the area of a triangle given by line 7x+8y-69=0 and coordinate axes x and y. - The triangle 5

The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units? - Right triangle from axes

A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment? - Coordinates of vector

Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - Intersection 74914

Find the perimeter of triangle ABC, where point A begins the coordinate system. 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 with the y-axis. - Find the 13

Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Quadrant four

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

Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 - Points on circle

The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - Midpoint 4

If the midpoint of a segment is (6,3) and the other endpoint is (8,-4), what is the coordinate of the other end? - Rectangular 75334

In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5] - Coordinates of midpoint

If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end? - Coordinate 59833

Determine the unknown coordinate of the vector so that the vectors are collinear: e = (7, -2), f = (-2, f2) c = (-3/7, c2), d = (- 4.0) - Intersection 3486

The rectangular coordinate system has a point A [-2; -4] and a point S [0; -2]. Determine the coordinates of points B, C, and D so that ABCD is a square and S is the intersection of their diagonals. - Coordinates of the intersection of the diagonals

In the rectangular coordinate system, a rectangle ABCD is drawn. These coordinates determine the vertices of the rectangle. A = (2.2) B = (8.2) C = (8.6) D = (2.6) Find the coordinates of the intersection of the diagonals of the ABCD rectangle. - Intersection 19343

What is the sum of all coordinates of points at the intersection of the line p: x = -1-2t, y = 5-4t, z = -3 + 6t, where t is a real number, with the coordinate planes xy and yz? - 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.

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