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What is the ways to prove that a quadrilateral is a parallelogram?
If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.
What statement can you use to conclude quadrilateral XYZW is a parallelogram?
you find the slope of each side. XY YZ ZW and WX using the formula which is Y2 - Y1 over X2 - X1. Then you prove it by saying "quadrilateral XYZW is a parallelogram because the slopes of opposite sides are equal, therefore the sides are parallel.
Why do you think that diagonals bisect each other for proving that a quadrilateral is a parallelogram?
The diagonals divide the quadrilateral into four sections. You can then use the bisection to prove that opposite triangles are congruent (SAS). That can then enable you to show that the alternate angles at the ends of the diagonal are equal and that shows one pair of sides is parallel. Repeat the process with the other pair of triangles to show that the second pair of sides is parallel. A quadrilateral with two pairs of parallel lines is a parallelogram.
How do you prove quadrilateral is a trapezoid?
You can't. A trapezoid is a quadrilateral because it has four sides. The definition of a quadrilateral is a shape with four sides.
For every line segment there is exactly one midpoint?
Yes. It is a theorem. To prove it, use contradiction.
Which of the following will not prove that quadrilateral MNOP is a parallelogram?
Which of the following is a valid reason why the quadrilateral shown below is a parallelogram?
What are not is efficient to prove that a quadrilateral is a parallelogram?
A parallelogram is a quadrilateral because it has 4 sides and all quadrilaterals have 4 sides such as a square, a rectangle, a rhombus ... etc
How would you prove in general that the midpoint formula actually gives you the midpoint?
94 to be exact
What is the ways to prove that a quadrilateral is a parallelogram?
If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.
What are the proofs that a quadrilateral ia s parallelogram?
There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other
How can you used a triangle to prove quadrilateral is a parallelogram?
A quadrilateral, in general, is not a parallelogram. If it is a parallelogram then you will have some additional information about its sides and angles. If you do not have such information it is not possible to prove that it is a parallelogram. Draw a diagonal which will divide the quadrilateral into two triangles and use the additional information that you have to show that the triangles are congruent. This can then be used to show equality of sides or of angles: the latter can then be used to show that sides are parallel. Note that the choice of which diagonal may influence how (if at all) you proceed.
What statement can you use to conclude quadrilateral XYZW is a parallelogram?
you find the slope of each side. XY YZ ZW and WX using the formula which is Y2 - Y1 over X2 - X1. Then you prove it by saying "quadrilateral XYZW is a parallelogram because the slopes of opposite sides are equal, therefore the sides are parallel.
If one pair of opposite angles and one pair of opposite sites of a quadrilateral is congruent then the quadrilateral is a parallelogram. How can it be proven?
draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.
Which formula would you use to prove that a triangle is a rhombus using distance or midpoint or Pythagorean or slope?
You would have a difficult time finding a formula to prove that statement, for two main reasons: 1). The statement is false. A triangle is never a rhombus. 2). Formulas can describe things, but they can't 'prove' things.
Why do you think that diagonals bisect each other for proving that a quadrilateral is a parallelogram?
The diagonals divide the quadrilateral into four sections. You can then use the bisection to prove that opposite triangles are congruent (SAS). That can then enable you to show that the alternate angles at the ends of the diagonal are equal and that shows one pair of sides is parallel. Repeat the process with the other pair of triangles to show that the second pair of sides is parallel. A quadrilateral with two pairs of parallel lines is a parallelogram.
How do you prove that In a quadrilateral ABCD prove that AB plus BC plus CD plus DA 2( AC plus BD )?
You cannot prove it since it is not true for a general quadrilateral.
How do you prove quadrilateral is a trapezoid?
You can't. A trapezoid is a quadrilateral because it has four sides. The definition of a quadrilateral is a shape with four sides.
