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

Q: Determine whether the quadrilateral is a parallelogram. If yes, identify which theorem you used to…

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Q: Give an example of three planes,exactly two of which are parallel.

A: Give an example of three planes,exactly two of which are parallel.

Q: Show that the diagonals of a parallelogram are perpendicular if and only if it is a rhombus, i.e.,…

A: please find the attached solution

Q: Use the diagonals to determine whether the parallelogram with the given would be a rhombus.

A: Given data: The coordinate of the vertex A is (x1, y1)=(0,2). The coordinate of the vertex B is (x2,…

Q: Draw all of the lines of symmetry on the shape.

A: The line of the fold is the line of symmetry. Figures or shapes that have exact resemblance to its…

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: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: Find the value of u that makes quadrilateral VWXY a parallelogram. W

A: Geometry Question

Q: Prove that the diagonals of a parallelogram bisect each other.

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Q: Prove that the figure formed by connecting consecutive midpoints of the sides of any quadrilateral…

A: Given   The figure formed by connecting consecutive midpoints of the sides of any quadrilateral

Q: Show that the opposite angles of a parallelogram are equal.

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Q: Are these planes parallel?

A: The given planes are 2x+y-z=2 ............. (1)                                   2x+3y+5z=4…

Q: Can you show that this quadrilateral is a parallelogram? yes

A: Parallelogram Definition A parallelogram is a quadrilateral with two pairs of parallel sides. The…

Q: Find the value of a in the parallelogram.

A: Our Aim is to find the value of a in the paralleogram.

Q: Find the value of x that makes the quadrilateral a parallelogram. Зх + 5 5х - 9

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Q: are rhombuses special parallelograms?

A: Our Aim is to tell whether a rhombus is a special case of paralleogramor not.

Q: Which formula would you use to determine if the sides of a rhombus are congruent?

A: We will use the following method.

Q: Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

A: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

Q: Determine the values of x and y to justify that the given quadrilateral is parallelogram.

A: Parallelogram have opposite sides parallel. Sum of any two adjacent angles of parallelogram is equal…

Q: Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram must be a…

A: Consider the given paralleogram   Since the diagonals of a parallelogram bisect to each other, BE…

Q: Show that a quadrilateral is a parallelogram if one pair of its opposite sides are equal and…

A: Consider a quadrilateral whose one pair of its opposite sides are equal and parallel.

Q: A parallelogram with all four sides congruent is classified as a:

A: Given : A parallelogram with all four sides congruent.

Q: Every parallelogram is a rectangle. True or false

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Q: In quadrilateral ABCD, ZA-(3x-5)°, ZB=(2x-15)°, (2x+35)° and ZD=(x+25)°. What value of x will make…

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Q: Depict the relationship of Parallel Postulate and Euclidean  Geometry.

A: Let's write answer,

Q: What is the locus of points in space equidistant from two parallel planes?

A: Locus: If the two lines are in Rn the points equidistant from them form an n−1 dimensional…

Q: Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments…

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Q: Is there enough information to prove that the figure below is a parallelogram? Explain.

A: the given figure, we have to prove that given figure is parallelogram

Q: for a four-point and four-line geometry

A: answer  is in next step

Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: Prove that the diagonals on the parallelogram in the figure intersect at their midpoints. (b, c)…

A: let A=(b, c) B=( a+b , c) D=(0,0) C=(a,0)

Q: In the context of hyperbolic geometry, show that the segment joining the midpoints of two sides of a…

A: Given below clear explanation

Q: Which statement does not necessarily prove the parallelogram below is a rhombus?

A: Given,

Q: Consider the parallelogram at right. a What is the length of the base of the parallelogram?

A: We have a parallelogram. To find the length of the base of the parallelogram. Solution: We know…

Q: Prove that when the midpoints of consecutive sides of a quadrilateral are joined in order, the…

A: To prove: When the midpoints of consecutive sides of a quadrilateral are joined in order, the…

Q: A parallelogram has line symmetry and either diagonal is an axis of symmetry.

A: Statement - A parallelogram has line symmetry and either diagonal is an axis symmetry.   Consider a…

Q: Is a square always a rhombus

A: Squares and rhombus

Q: Segment AV A(4,12) V(-6,-3)

A:

Q: Explain why a line in hyperbolic geometry must contain two distinct ideal points.

A: We have to answer given Questions.

Q: . Prove that the perpendicular bisector of any chord of a circle passes through its center.

A: we will use method of contradiction i.e., we assume that the perpendicular bisector does not pass…

Q: Do two points determine a plane?

A: No.

Q: All parallelograms are quadrilaterals

A: A quadrilateral is a  polygon in plane geometry with 4 edges and 4  vertices. A parallelogram also…

Q: Construct the perpendicular bisector.

A: 1)

Q: Find the value of and y quadrilateral is a parallelogram. so that the 2у — 11 y+3 3x 4x-3

A: In a parallelogram,  Diagonals bisects each other. So,  3x = 4x -3 => x = 3

Q: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular.

A: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular

Q: values of x and y that make the quadrilateral a parallelogram.

A: 17 in Parallelogram opposite angles are equal .

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

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