are the diagonals of a parallelogram perpendicular bisector?
9095
All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.
860232
The diagonals of a parallelogram are given by the vectors. The diagonals of a parallelograms are given by the vectors 3→i+→j+2→k and →i−3→j+4→k. ... My Attempt: Let →d1=3→i+→j+2→k and →d2=→i−3→j+4→k be two diagonals represented in vector form.
655532
Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
1046882
['All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).', 'All sides are congruent by definition.', 'The diagonals bisect the angles.']
623731
Diagonal of Parallelogram Formula A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure.
1257248
The rectangle has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other). All angles are right angles by definition. The diagonals are congruent.
707993
Properties of a Rhombus The diagonals are perpendicular to and bisect each other. Adjacent angles are supplementary (For eg., ∠A + ∠B = 180°). A rhombus is a parallelogram whose diagonals are perpendicular to each other.
1145820
The diagonals of parallelogram are not perpendicular to each other is it a rhombus? ... rhombus is constructed ! when length l is reflected, its length does not change, hence only a rhombus can be constructed this way and not parallelogram. the angle between diagonals = angle between x & y axis = 90 degrees.
1392733
If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. ... If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. If — BD and — AC bisect each other, then ABCD is a parallelogram.
1079225
If a parallelogram is a rectangle, then the diagonals are congruent. SOLUTION: A rectangle is a parallelogram with four right angles, opposite sides parallel, opposite sides congruent, opposite angles congruent, consecutive angles are supplementary, and the diagonals bisect each other. The statement is true.
60111
All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other). All angles are right angles by definition. The diagonals are congruent.
1075764
On a rectangle, consecutive angles are not supplementary. On a rectangle, diagonals bisect each other. On a rhombus, all four sides are congruent. On a rhombus, diagonals are not perpendicular.
95589
ABCD is a rectangle in which diagonal AC bisects `/_A` as well as `/_C` . Show that: (i) ABCD is a square (ii) diagonal BD bisects `/_B` as well as `/_Ddot` .
396249
Explanation: In a parallelogram, the diagonals bisect one another, so you can set the labeled segments equal to each other and then solve for . \displaystyle x + 14 = 5x - 10 \rightarrow 24 = 4x \rightarrow 6 = x.
950286
All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles.
709588
Diagonals of a parallelogram In any parallelogram, the diagonals (lines linking opposite corners) bisect each other. That is, each diagonal cuts the other into two equal parts.
1457265
['The opposite angles of a parallelogram are equal.', 'The opposite sides of a parallelogram are equal.', 'The diagonals of a parallelogram bisect each other.']