NATION Consider the following triangle. C PG,UL, and EA are all medians of A ALG, and C is the centroid. Which of the following statements IS NOT true?

Q: Which of the following points is collinear? a. (1, 2), (5, 3), (1,-2), and (2, 0) b. (0, 4), (1, 3),…

A: Solved below

Q: Every triangle has a balancing point, called the centroid. O True O False

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Q: is the unit cube having one corner at the origin and the coordinate planes for three of its adjacent…

A: Given cube of unit length the co-ordinates of points are.A→→(0,0,1)B→→(1,0,0)C→→(1,1,0)D→→(0,1,0)

Q: E B a Name all points collinear with E and F. b Are G, E, and D collinear? Are F and C collinear? c…

A: Since you have asked multiple question, we will solve the first three subparts of the first question…

Q: Q.5 Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C…

A: AB = 3, AC = 3, BC = 3√2  The triangle is right-angled triangle with, angle(A) = 90°  The detailed…

Q: Let P be the set of points (x, y) in the coordinate plane such that 3x + y = -4, and 0 s x s 3.…

A: Given that, In the coordinate plane, P is the collection or set of all the points x, y which follow…

Q: How many planes in the diagram contain point W? O 3 O 4 O 2 O 1 o search

A: Given query is to find number of plane at point W.

Q: 1. The vertices of a triangle are located at A(4,1, –3), B(-2,5,4) and C(0, 1, 6). Using vector…

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Q: True or False: The point H is collinear with both C and E. B D G True False

A: any number of points are called collinear if they all lie on same straight line.

Q: Review 10. For the given triangle, C is the centroid of median AB. If AC = x + 1 and CB = 5x - 13,…

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Q: In triangleRST, the medians are RM, SN, and TP. If RM = 9, SN = 12, and TP = 16, find the distance…

A: median of the triangle

Q: 3. Note that R° is another way to say "3-space" or "3-D space". P(2, a – c, a) and Q(2, 6, 11)…

A: Here, P(2,a-c,a) & Q(2,6,11) represents the same point in ℝ3.

Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

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Q: IR, US, and OB are all medians of A BRS, and T is the centroid. IR = 2.4 in., BT = 1 in., UT = 0.7…

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Q: Medians AY, BZ, and CX are concurrent at P, the centroid of triangle ABC. What is AB/AX + BC/BY +…

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Q: 1B.11 Please refer to the attached image for my question. Please show ALL your work. Thank you!

A: Given, To factor8x3-27

Q: A radical equation is shown below. 6-Vx?- 2x+12 Which choice represents the solutions to this…

A: Given 6=x2-2x+12

Q: 1. Use the Centroid Theorem and the figure for Exercises 5-8. QU, RS, and PT are medians of APQR. RS…

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Q: In the below triangle, C is the centroid and KG, LF, and JH are all medians. If FC-2, find CL and…

A: We know that the centroid divides the median in 2:1 ratio. So, CLFC=21or, CL2=2or, CL=4So,…

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.