1. Determine whether parallelogram EFGH is a rectangle, rhombus, or square by writing a two-column proof. Its vertices are located at E(-3,-2), F(-1,4), G(5,2), and H(3,-4).

Q: Quadrilateral GRAM has vertices G(2,3), R(7,10), A(9,4), and M(4,-3). Prove that GRAM is a…

A: Below is the solution:-

Q: 7) Three vertices of a parallelogram are shown. A DO y O B X A(-1, 1) B (2,1) D(-2,-1) Find C Select…

A: The objective of this question is to find the coordinates of the fourth vertex of a parallelogram…

Q: Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right…

A: To find the number of route to reach the top of the region :-

Q: 6. Show that the diagonals of the square with the given vertices are congruent perpendicular…

A: The formula for the midpoints of (x1,y1) and (x2,y2) is x2+x12,  y2+y12 and the formula for the…

Q: Consider the following. A(2, 1, 2), B(2, 3, 2), C(-2, 4, 2), D(-2, 6, 2) (a) Verify that the points…

A: A(2,1,2), B(2,3,2), C(-2,4,2) and D(-2,6,2) We need to verify these points are the vertices of…

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: (32) a]  A square has vertices at (0, 0) and (2, 0). Where are the other 2 vertices? (There  are 3…

A: This question can be solved using the concept of distance formula.

Q: 26. Write a two-column proof. Given: ABCD and AFGH are parallelograms. Prove: ZC = ZG A'

A: if two lines are parallel then crossponding angles  are equal

Q: 3. Quadrilateral PQRS has vertices P(-2, 3), Q(4, 5), R(2, –3), and S(-4, –5). Parallelogram. The…

A: Plotting these points on a rough space gives better idea of the figure.

Q: Examples: 1. Prove that the quadrilateral with vertices A(0,0), B(4,3), C(7,-1) and D(3,-4) is a…

A:

Q: Show that the points A(8,-1,0), B(0, 1, 1), and C(2, 1, -3) are non-collinear.

A:

Q: To activate lower left subgraph of a 2 X 2 grid, which of the following statements will be used? O a…

A: Given:  2 X 2 grid

Q: Prove that ABCD with vertices 4(-1,3), B(-4,-1), C(1,-1), and D(4,3) is a rhombus assuming it is…

A:

Q: Classify a quadrilateral as precisely as possible given four vertices: C(4, 8), D(9, 8) , E(9, 6) ,…

A:

Q: 2.1.67 Find x assuming that (4,2), (6,7), (x,14), and (6,9) are the vertices of a parallelogram. X =…

A:

Q: 3-5. What are the vertices after ( Ry-axis o D3) and C (-4,-1)?

A: Here, the coordinates are: A:1,3B:-2,5C:-4,-1

Q: :Prove that (4,-1).(6,0).(7,2)and (5,1) are the vertices of a rhombus.Is it a square?

A: In a square the sides are perpendicular but in a rhombus they need not be. All sides are of equal…

Q: Determine whether the four vertices form a parallelogram: P(1, - 4), Q(3, 11) , R(6, 11), S(4, - 4)…

A: Diagonals of parallelogram bisect each other.So we will find  mid points of each diagonal and see if…

Q: If EFGH is a parallelogram whose diagonals meet at point X, then EX = XG and FX = XH . OTrue O False

A:

Q: (1) 100 (20)

A: True or false: The fourth vertex of the parallelogram shown is (a+c, d)

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: