* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary
To prove a quadrilateral is a trapezium using similarity, you need to show that one pair of opposite sides is parallel. You can do this by demonstrating that the triangles formed by the non-parallel sides and the segments connecting the endpoints of the parallel sides are similar. If the angles formed by these triangles are equal (due to parallel lines creating corresponding angles), then the sides will be proportional, confirming the similarity. Thus, if you establish similarity in this way, you can conclude that the quadrilateral is a trapezium.
a quadrilateral has 4 sides.
No, it is not. A quadrilateral is a 4-sided polygon. A triangle is a 3-sided polygon. Therefore, whatever way you turn it, a triangle will never be a quadrilateral.
If its 4 sides are of different lengths then it will have no congruent angles
The term is quadrilateral.
The best way to describe the parallepiped is that it is a 3-d parallegram.
To prove a quadrilateral is a trapezium using similarity, you need to show that one pair of opposite sides is parallel. You can do this by demonstrating that the triangles formed by the non-parallel sides and the segments connecting the endpoints of the parallel sides are similar. If the angles formed by these triangles are equal (due to parallel lines creating corresponding angles), then the sides will be proportional, confirming the similarity. Thus, if you establish similarity in this way, you can conclude that the quadrilateral is a trapezium.
a quadrilateral has 4 sides.
A quadrilateral is a 4 sided shape.
No, but there is a way to prove that zero equals one.
If it has at least one set of parallel sides, then at least one set of angles are congruent
It cannot. There is no way to draw a quadrilateral where 3 sides are congruent.
A square can be distorted into a rhombus by moving one of the lines sideways (and down). In the same way, any quadrilateral can be "distorted" into another shape.
NO! You have |_\ with the other three angles adding to 270 in any way!
No, it is not. A quadrilateral is a 4-sided polygon. A triangle is a 3-sided polygon. Therefore, whatever way you turn it, a triangle will never be a quadrilateral.
If its 4 sides are of different lengths then it will have no congruent angles
The term is quadrilateral.