Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle. Also, find its area.

Q: Find the angle formed by two face diagonals that intersect at a vertex of the cube.

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Q: In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

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Q: Find the coordinates of the midpoint of side VT in the quadrilateral below.

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Q: Find the midpoint of the sides of the quadrilateral LOVE with vertices L(-3, -2), O (0, 6), V(4, 4),…

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Q: What is the point of concurency where the perpendicular bisectors of a triangle intersect?

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Q: Do the three points (1,−2), (2,4), and (−3,5) form a right triangle?

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Q: How do we prove that a shape is a parallelogram using coordinate geometry?

A: We will use the properties of parallelogram to prove this.

Q: What kind of triangle has three angle bisectors that are also altitudes andmedians?

A: Given: What kind of triangle has three angle bisectors that are also altitudes andmedians.

Q: Find the angle between the diagonal of a cube and one of its edges.

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Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a…

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Q: rve, A(0,1) and what Is the length of the sement between the points ?

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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: Ye Li drew a quadrilateral that is both a rectangle and a rhombus. Name the quadrilateral and…

A: A quadrilateral that is both a rectangle and a rhombus is a  square.

Q: State which theorem you can use to show that the quadrilateral is a parallelogram.

A: Given,

Q: A parallelogram has point symmetry about the point where its two diagonals intersect.

A: Given query is to find that given statement is true or false.

Q: Give the rectangular coordinates for the point. (8, 225°) O (-42, -42) O (-4T, -4T) (42, 42) O (-43,…

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Q: The ____ of a triangle intersect in a point that is equidistant from the sides of the triangle.

A: The triangle is a polygon with three edges and three vertices. It is one of the basic shapes in…

Q: find the circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

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Q: A soccer field is 120 meters long (x-axis) and 90 meters wide (y-axis). The field crew needs to find…

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Q: an equilateral triangle has sides of the length 2x+48, 103-3x and 6x+4. What is x?

A: an equilateral triangle has sides of the length 2x+48, 103-3x and 6x+4. What is x?

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: Depict the relationship of Parallel Postulate and Euclidean  Geometry.

A: Let's write answer,

Q: what are the coordinates of the midpoint of BC?

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Q: Prove that the sum of the angles of an elliptical triangle is more than two right angles.

A: Solution:-

Q: Do the points (-1,1) ( -3,5)and (0,8)form a right triangle?

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Q: An equiangular triangle is also:

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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: Determine the area of the parallelogram determined by the points (1,4),(-1,5),(3,9)and( 5,8).How can…

A: Consider the provided question, Let the vertices of the parallelogram are A, B, C and D.

Q: Explain how to find the distance between two parallel planes.

A: Explain how to find the distance between two parallel planes.

Q: be a right triangle. Which

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Q: An altitude of an equilateral triangle has length 6\/3 . What is the perimeterof the triangle?

A: An altitude of an equilateral triangle has length 63. What is the perimeterof the triangle?…

Q: The distance from (6,-7, 10) to yZ-plane is

A: Concepts let (x, y, z) be a point then  1) distance of the point from XY plane is…

Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: Can you prove this quadrilateral is a parallelogram?

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Q: What is the distance between points (-6,-9 ) and ( 3,3) on the coordinate plane?

A: A cartesian plane is a plane that involves the cartesian axis, i.e. x and y-axis. A coordinate plane…

Q: Show that a triangle whose sides are of lengths 5, 12, and 13 is a right triangle. Identify the…

A: Given: Show that a triangle whose sides are of lengths 5, 12, and 13 is a right triangle.Identify…

Q: A parallelogram with four right angles is best classified as a: Kite Rhombus Rectangle Isosceles…

A: To classify a parallelogram shape with four right angles.

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: Pythagoras' Theorem is a rule that will work in any triangle that has

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Q: Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the side…

A: Here ask to prove the line joining the midpoint of a median to a vertex of the triangle trisectsthe…

Q: The _____ of a triangle intersect in a point that is equi-distant from the vertices of the triangle

A: The circumcenter of a triangle intersect in a point that is equidistant from the vertices of the…

Q: Find the distance between the points (4,-1) and (-1,5) Distance %3D

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Q: Describe a method for determining whether four points P , Q , R , and S , lie in the same plane

A: We know that if some points lie on the same plane, then their slope would be same.

Q: Construct the perpendicular bisector.

A: 1)

Q: Prove that the midpoints of a parallelogram bisect each other using coordinate geometry.

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Q: Show that squares are the only rect-angles with perpendicular diagonals.

A: Consider u and v as the sides of the rectangle.The diagonals are perpendicular.Consider the…

Q: A rectangular package to be sent by a postal service can have Assume the cross section is square.)

A: Here the the maximum combine length and girth (perimeter of cross section )=108 inches.  ⇒y+4x=108…

Q: how do i prove that the diagonals of a parallelogram bisect each other ? Then have to name…

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Q: What is the distance between the point (-2, 5, 3) and the z-axis?

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