If two vertices of a triangle are (8,4) and (−2,2) and the centroid (intersection of the medians) of this triangle is (8/3 , 4/3), then the third vertex is:

Q: Given 21 = Z3 Prove jk 13 2.

A: Given,  ∠1≅∠3 To prove  j∥k

Q: The vertices of a rectangle are R(-5,-5), S(-1, -5), T(-1, 1) and U(-5, 1). After translation, R' is…

A:

Q: Find the area of the parallelog

A:

Q: find the area of the parallelogram with vertices (2,4), (3, 8), (7, 12), and (8, 16). Answer:

A:

Q: 3 Determine what kind of quadrilaterál I formed by the following points: S MI-2,-1), L(1,3), T(5,0)…

A: Given

Q: Triangle BCD with vertices B(4,4), C(8,14), and D(12,0): k=1/4

A: Given

Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

A:

Q: What is the sum of the coordinates at which the diagonals of ABCD intersect?

A: From the given figure, The equation of the diagonals can be written as :

Q: Choose only four questions from the following: Q1- Suppose that you have the following points for a…

A:

Q: Evaluate fS, 6x² – 40y dA, where D is the triangle with vertices (1,1), (5,0) and (5,3).

A:

Q: The vertices of APQR are P(0, 0), Q(- 6, 0), and R(-6, 6). Find the area of APQR.

A: Given:

Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: In a rectangular grid with corner points (0, 0), (0, m), (n, m) and n, 0), determine the number of…

A:

Q: Find the distance d between the two parallel planes x + 2y 2z = −2 and x + 2y = 2z = 1.

A:

Q: The triangle with vertices R(- 2,3), S(2, – 1), and T(4,5) is shown to the right. The lengths of the…

A: