An isosceles trapezoid only has 1 pair of congruent sides. It is drawn like this:
Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.
kite
C. Both pairs of opposite sides are congruent and parallel.
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!
An isosceles trapezoid only has 1 pair of congruent sides. It is drawn like this:
rectangle rhombus
Only when they are isosceles trapezoids.
kite
not possible, they only have 3 sides so they have to be congruent by ASA or AAS
Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.
No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
Only if they have the same number of sides.
That description only guarantees a rhombus. In order to guarantee that it's a square, the angles must also be congruent.
kite
A rectangle has three rules: -2 pairs of parallel sides -four 90 degree angles -2 pairs of congruent sides A parallelogram has three rules: -2 pairs of parallel sides - 2 pairs of congruent angles -2 pairs of congruent sides The only difference is that a rectangle has 90 degree angles, which a parallelogram doesn't have. That's why a parallelogram can't be a rectangle. A rectangle follows all the rules of being a parallelogram, so it can be a parallelogram.
Because a square has 2 pairs of parallel sides but a trapezoid only has 1 pair of parallel sides