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Adjacent angles of a rhombus are congruent?
Rhombus' Congruent AnglesIt's not the adjacent angles of a rhombus that are congruent, but the diagonal ones.
How many diagonal lines are there in a heptagon?
A heptagon has 4 diagonal lines and 7 sides and it has 2 congruent diagonal lines and 2 congruent triangles
Quadrilateral with one diagonal that divides it into two congruent equilateral triangles?
Rhombus.....
Does a rhombus have diagonal perpendicular lines?
Yes its 2 diagonal intersect at right angles
What is a rhombus in geometry?
A rhombus is a two dimensional (plane) shape that is bounded by four congruent lines. If these lines meet at right angles, then the shape is a square which is a special type of rhombus.
In which parallelogram does the diagonal divide the parallelogram into two congruent right triangles?
It is a rhombus because its diagonals meet at right angles.
What quadrilateral with no right angles and two pairs of congruent and parallel lines?
rhombus
What shape has 2 pairs of parallel lines and 4 congruent sides?
a square or rhombus
How do you prove the diagonal lines in a parallelogram is not a rhombus?
Because the diagonals of a rhombus intersect each other at 90 degrees whereas in a parallelogram they don't
How is a kite different from a rhombus?
A kite is different from a rhombus in a few ways: * Kites have two pairs of adjacent legs that are congruent, and each pair is a separate length; a rhombus has four congruent sides. * A kite and rhombus both have perpendicular diagonals, but in a kite, only the diagonal between the pairs of sides (the diagonal between two sides of different length) is bisected; the other is not. Also, the diagonals bisect all of the angles of a rhombus; only the angles in the middle of the pairs of sides (angles with two legs of equal length) are bisected. * Only the angles between the pairs of sides are congruent in a kite; a rhombus has 2 pairs of congruent opposite angles. You can also think of a rhombus as a combination between a kite and a parallelogram, the same way you can think of a square as a combination of a rectangle and a rhombus. Hope this helps!
Can any two triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
Can any triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
