6. (a) Find the lengths of the sides of the triangle with the given vertices (-1,0,-2). (-1, 5, 2).(-3,-1, 1). (b) Determine whether the trangle is a right riangle, an isosceles triangle, or neither

Q: Show that the points (2, 1), (4, 0), and (5, 7) are vertices of a right triangle.

A:

Q: Show that the triangle with vertices P(6, ; 7), Q(11, ; 3) and R(2, ; 2) is a right -angled triangle…

A:

Q: What are the coordinates of the point on the directed line segment from (-6,-10) to (6,8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfom (-6,-10) to (6,8)…

Q: Show that the points (2, −1), (5, 5), and (6, −3) are vertices of a right triangle.

A: The given points are (2,-1), (5,5) and (6,-3)

Q: Show that the points form the vertices of the indicated polygon. Right triangle:    (4, -2), (8,…

A: Distance between two points: The distance between the two points (x1, y1) and (x2, y2) is given by,…

Q: 7) Show that the triangle whose vertices are the points (1, 2, -1), (2, 3, 5) and (2, 1, 3) is/isn't…

A: Here we have to show that the triangle whose vertices are the points (1,2,-1), (2,3,5) and (2,1,3)…

Q: What are the coordinates of the point on the directed line segment from (-4,-9) to (1,1) that…

A: This question is related to line. We will solve this question by using section formula.

Q: What are the coordinates of the point on the directed line segment from (-10, -1) to (-3,-8) that…

A: we have to find the coordinates of the point on the directed line segment into  a ratio 6 to 1

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

A:

Q: 1. The vertices of quadrilateral ABCD are A(-2,3), B(4,6), C(10,3), and D(0,-2). Use coordinate…

A:

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

Q: The cosine of the acute angle e between the diagonais of a quadriateral having vertices at (0,0,0),…

A: Given:

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A:

Q: Show that A(-3, 1), B(1, -1), C(4, 1), and D(3, 5) are vertices of a trapezoid.

A: Given vertices are A-3,1, B1,-1, C4,1 and D3,5. To show the vertices are of a trapezoid. Solution:…

Q: 4. The vertices are at (7,-5) and (7,1) and the length of the transverse axis is 10.

A:

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

A:

Q: What are the coordinates of the point on the directed line segment from (-8,-2) to (6, 2) that…

A:

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

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: What are the coordinates of the point on the directed line segment from (-1,-8) to- (5, -2) that…

A:

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

Q: Find the point R that breaks the directed segment PQ  in a ratio of 1:3, given point P(-4,5)  and…

A: Find the point R which breaks the segment PQ in the ratio 1:3 using section formula

Q: Compute the arae of the triangle with vertices (0,0) , (1,1) (-8,-7)

A:

Q: 6- Find the distance from the Point AC,2,1) to the line joining the too Points B Co,5,2), C(3,2,7)

A: fghk

Q: Hoe would  you plot all three points on the same set of axes with  line segments between each pair…

A: area of triangle

Q: A trapezoid is shown in the coordinate plane. 10 9- 8 7- 6- 5- 4 3- 2- -10 -9 -8 -7 -6 -5 -4 -3 -2…

A: Given is a trapezoid, when we divide it into 2 parts   equally, the left and right side will be…

Q: 6. Prove that quadrilateral LEAP with the vertices L(-3,1), E(2,6), A(9,5) and P(4,0) is a…

A:

Q: 1- Find the slopes of the sides of triangle with vertices (0, 3), (2, 0), and ( 8. (6,). Is that a…

A: As per our guidelines ,we can solve only first question . Please repost other questions that need to…

Q: We are given 17 points inside a regular triangle of side length one. Prove that there are two points…

A: We use Pigeonhole Principle to solve this which states that if n items are put into m containers…

Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

Q: What are the coordinates of the point on the directed line segment from (-9, –1) to (-9, –10) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-10,-5) to (5,1) that…

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Q: Graph triangle LMN with L(2, 7), M(8, 8), N(2, 1), and its image after Ry-axis ° T(-4,-5).

A: Given  L(2,7)M(8,8)N(2,1) Translation Ry axis∘T(-4,-5)   for rotation around y axis (x,y)→(-y,x)

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: - Find the slopes of the sides of triangle with vertices (0, 3), (2, 0), and (6,-). Is that a right…

A:

Q: What are the coordinates of the point on the directed line segment from (-5,-7) to (1, –1) that…

A: we have to find the coordinate of the point on the directed line segment into a ratio of 1 to 2

Q: 3 -2-1 -2 -3 -4 -5 -6V How can we

A:

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

A:

Q: 2. Show that diagonals of quadrilateral CUTE are congruent for C(5,-1), U(9,-1), T(9,0) and E(5,0).…

A:

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

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: how many lines of symmetry is in these figures?

A: A line of symmetry is a line that cuts the given shape into 2 equal halves. It basically means that…

Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: What are the coordinates of the point on the directed line segment from (-1, –2) to (9, –10) that…

A:

Q: Show that the points form the vertices of the polygon. right triangle: (−4, 5), (0, 7), (2, 3)…

A: The given points are -4,5, 0,7, 2,3

Q: A triangle has one side that lies along the line y =1/4x and another that lies along the line y = -…

A: our objective is to find vertex of the given triangle formed by two lines

Q: What are the coordinates of the point on the directed line segment from (-8, 1) to (2,-7) that…

A: When the point P lies on the line AB with coordinates of A x1,y1 and B x2,y2 and P divides the line…

Q: What are the coordinates of the point on the directed line segment from (-1,-10) to (7,6) that…

A: To find the coordinates point.