Consider the triangle ABC with vertices A(0,2), B(2,0), C(/2, v2) Also, Find the vertices of the dilated triangle A1B1C1 about the origin by a dilating factor of 3

Q: vertices

A: Perimeter of equilateral triangle = 3*side of triangle.

Q: Find the area of the triangle whose vertices are  (2,3,1), (1,-1,2) (-1,2,3)

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Q: Find the area of triangle with (1,-1,-2), (-2,0,-1) and (0,-2,1) as vertices?

A: Given: The vertices of the triangle are as follows, (1,-1,-2),(-2,0,-1) and (0,-2,1)

Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

Q: find the orhtocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5).    please show…

A: We have to find the orthocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5) In the…

Q: Show that the triangle with vertices (5, 4, −1), (3, 6, −1), and (3, 4, 1) is equilateral.

A: To show that the triangle with vertices 5, 4, -1, 3, 6, -1 and 3, 4, 1 is equilateral. Solution: Let…

Q: how the perimeter of any polygon or plane figure can be found given the coordinates of its vertices.…

A: The basic formula used to find the perimeter of a polygon is, Perimeter = sum of all sides.

Q: ned by vertices A (-2,4,2), B(4,10,12) and C(6,16

A: Here we have to find all angles of the triangle having vertices A (-2,4,2), B(4,10,12), and…

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: Find the area of a triangle whose points are (1, 2), (-2, -1) and (3, 0).

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Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3), C(5, 6), and D(2, 1): (x, y)- (x+2, y-6)

A: In Rhombus, A=(-3,-2)B=(0,3)C=(5,6)D=(2,1)

Q: The endpoints of one side of a regular pentagon are (-1, 4) and (2, 3). What is the perimeter of the…

A: Given,         The endpoints of one side of a regular pentagon are -1,4 and 2,3.

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: 4. Find the coordinates of the vertices of a triangle knowing that the coordinates of the midpoints…

A:

Q: 7. Show that points (6, 1), (2, - 4), and (-2, 1) belong to an isoscles triangle.

A: 7. In this question we have to show that the given points belong to an isosceles triangle. Isosceles…

Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact…

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Q: Two vertices of an equilateral triangle are located at (2,0) and (-2,-3). What is the triangle's…

A: Distance between A(x1, y1) and B(x2, y2) is given by distance formula, AB =√((x2 - x1)² + (y2 - y1)²

Q: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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Q: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

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Q: Use the dot proquct to find the largest interior angle of the triangle with vertices P(-1,2,3),…

A: We have given vertices of the triangle as P-1, 2, 3, Q1, 2, 1 and R2, 2, 1. First, we have to find…

Q: A parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5) is reflected over the y-axis.…

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Q: Find the length of the medians of the triangle whose vertices are (1, -1), (0, 4) and (-5, 3)…

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Q: What are the coordinates of the top point of an equilateral triangle if the corners of its base are…

A:

Q: Two vertices of an equilateral triangle are located at (2,0)(2,0) and (−2,−3)(−2,−3). What is the…

A: ∴ AB=BC=AC ∴ all sides of an equilateral triangle are equal    To find:-  perimeter…

Q: Find the area of the triangle having the given vertices (0, 0), (6, 0), (0, 7)

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Q: Find the area of the triangle having vertices at P (1,3,2), Q (-2,1,3) and R (3,-2,-1)

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Q: A triangle is formed by the vertices A(3, 2, -1), B(-2, 2, 3,) and C(1, 0, 2). Determine the area of…

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Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

A:

Q: Plot the quadrilateral after being rotated 180°. Label the vertices of the image. L St -М

A: Basic coordinate geometry problem

Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

A:

Q: Show that the triangle whose vertices are A(-2, -3), B(4, 5), and C(-4, 1) is a right triangle.

A: Given:A-2,-3B4,5C-4,1Right triangle:AC2 =AB2+BC2

Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: Find all values of x so that the triangle with vertices A=(-2, –1, x), B=(-4, -2, –2), and C=(-2,…

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Q: Draw a triangle with vertices (-1, -7), (5,5), and (-2,1). Show that the triangle is isosceles.

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Q: Show that the points A(-4,9,6) ,B(-1,6,6) and C (0,7,10) from the right angled isoseles triangle

A: Use the equation D=(x2-x1)2+(y2-y1)2+(z2-z1)2 to calculate the magnitude of side AB.…

Q: The two vertices of a triangle are (3, –6) and (9, -4). Find the ordinate of the third vertex so…

A: Dear Learner,We Expert are following bartleby expert guidelines to answer the question,so we can…

Q: Find the angles of the triangle with vertices: (0,1,0), (1,0,3) and (5,5,0)

A: The vertices are given as (0,1,0) , (1,0,3) , (5,5,0) We know that  d = (x2-x1)2+(y2-y1)2+(z2-z1)2…

Q: calculate Sry³ dA where Ris the vertex of the triangle (0, 2), (1,1) and (3,3 )|

A: The sketch of R is

Q: Find the area of the triangle having the given vertices. (1, 2), (2, 2), (-1, 6)

A:

Q: Find the distance from the point to the plane. (6, 0, —6), т — у %3D 4

A:

Q: A trapezoid is a quadrilateral with at least one pair of parallel sides. Show that the quadrilateral…

A: slope of the line joining (x1,y1),(x2,y2)  is y2-y1x2-x1

Q: A right triangle has vertices at A(3,0,2), B(4,3,0) and C(8,1, –1). At which vertex is the right…

A: We will find out the required solution.

Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

Q: Find the lengths of the medians of the triangle with vertices at   A(4, 3, 1),  B(2, 1, 2) and…

A: Length of medians

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.