Main Theorems. The diagonals of a quadrilateral can determine whether it is a parallelogram, a rectangle, a rhombus, etc.. We will list and prove the main theorems here. Theorem 1: If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.Proof: Let the quadrilateral be ABCD with diagonals AC and BD intersecting at P : Then AP = PC and DP = PB since the diagonals bisect each other.Now consider triangles APD and CPB.heorem 6: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. Proof: Let the parallelogram be ABCD with perpendicular diagonals AC and BD intersecting at P : The diagonals of a parallelogram bisect each other, so triangles APB and CPB are congruent by SAS.
http://ceemrr.com/Geometry1/Diagonals/Diagonals_print.html
To divide into two equal parts. You can bisect lines, angles, and more. The dividing line is called the bisector. The red line CD bisects the blue line segment AB (try moving the points):Bisect.ou can bisect lines, angles, and more. The dividing line is called the bisector. The red line CD bisects the blue line segment AB (try moving the points):
http://www.mathsisfun.com/definitions/bisect.html
A quadrilateral is a parallelogram if and only if its diagonals bisect each other (this should be in any geometry book). 3 people found this useful. Edit. Share to: 1  College Admission Interview Dos and Don'ts Some colleges offer applicants the opportunity to interview on campus or close to home.es. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
http://www.answers.com/Q/What_does_it_mean_for_diagonals_to_bisect_each_other
Not necessarily-the diagonals of a rhombus bisect each other (they are perpendicular bisectors of each other), but are not equal.es. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
http://www.answers.com/Q/What_does_it_mean_for_diagonals_to_bisect_each_other
Theorem 6: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. Proof: Let the parallelogram be ABCD with perpendicular diagonals AC and BD intersecting at P : The diagonals of a parallelogram bisect each other, so triangles APB and CPB are congruent by SAS.heorem 6: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. Proof: Let the parallelogram be ABCD with perpendicular diagonals AC and BD intersecting at P : The diagonals of a parallelogram bisect each other, so triangles APB and CPB are congruent by SAS.
http://ceemrr.com/Geometry1/Diagonals/Diagonals_print.html
I have a book in which it say that a rhombus' diagonals bisect each other at 90degrees.t simply states that when you draw 2 diagonals from one end to another, it forms 90 degrees angle while splitting each in half.
https://uk.answers.yahoo.com/question/index?qid=20111119155456AA5TmSy
RE: What does it mean when diagonals bisect each other? I have a book in which it say that a rhombus&#39; diagonals bisect each other at 90degrees.t simply states that when you draw 2 diagonals from one end to another, it forms 90 degrees angle while splitting each in half.
https://uk.answers.yahoo.com/question/index?qid=20111119155456AA5TmSy
This is a Math video. This is our ninth webisode (WB-9) on Series 8 -- Quadrilaterals. In this video, we learn that the diagonals of a parallelogram bisect each other. Then we go ahead and prove this theorem.This video is suited for class-9 (Class-IX) or grade-9 kids.his is a Math video. This is our ninth webisode (WB-9) on Series 8 -- Quadrilaterals. In this video, we learn that the diagonals of a parallelogram bisect each other. Then we go ahead and prove this theorem. This video is suited for class-9 (Class-IX) or grade-9 kids.
http://www.youtube.com/watch?v=nz-fXKo8jYk
1 A square is a regular quadrilateral. 2  All angles are equal (90°). 3  All sides are of equal length. 4  Opposite sides are parallel. 5  The diagonals bisect each other at 90°. 6  The diagonals are equal in length.arallelogram. 1  Diagonally opposite angles are equal. 2  Opposite sides are of equal length. 3  Opposite sides are parallel. 4  The diagonals bisect each other.
http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/2d_shapes/revision/2/
Square. 1  A square is a regular quadrilateral. 2  All angles are equal (90°). 3  All sides are of equal length. 4  Opposite sides are parallel. 5  The diagonals bisect each other at 90°.6  The diagonals are equal in length.arallelogram. 1  Diagonally opposite angles are equal. 2  Opposite sides are of equal length. 3  Opposite sides are parallel. 4  The diagonals bisect each other.
http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/2d_shapes/revision/2/
what does bisecting diagonals mean
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.