Can the parallel sides of a trapezium be equal?
Table of Contents
- 1 Can the parallel sides of a trapezium be equal?
- 2 What is properties of isosceles trapezium?
- 3 What is equal in an isosceles trapezium?
- 4 How many sides does an isosceles trapezium have?
- 5 How many pairs of equal sides does a isosceles trapezium have?
- 6 Does a trapezoid have two pairs of parallel sides?
Can the parallel sides of a trapezium be equal?
If the non-parallel sides of a trapezium are equal, prove that the trapezium is cyclic. Therefore the trapezium is a cyclic quadrilateral. Note: A quadrilateral is said to be cyclic quadrilateral if all of its 4 vertices lie on the same circle.
What is properties of isosceles trapezium?
Convex polygon
Cyclic
Isosceles trapezoid/Properties
What is equal in an isosceles trapezium?
An isosceles trapezium is a trapezium in which the non-parallel sides are equal in measure. In other words, the bases are parallel and the legs are equal in measure.
Which sides are equal in a trapezium?
In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram)….
| Isosceles trapezoid | |
|---|---|
| Type | quadrilateral, trapezoid |
| Edges and vertices | 4 |
| Symmetry group | Dih2, [ ], (*), order 2 |
| Properties | convex, cyclic |
When non parallel sides of a trapezium are equal then it is known as an isosceles trapezium True or false?
Answer : When the non-parallel sides of a trapezium are equal then it is known as an isosceles trapezium.
How many sides does an isosceles trapezium have?
four
In an isosceles trapezoid, the number of sides is four. The two opposite sides (bases) are parallel to each other and the other two sides are equal in lengths but non-parallel to each other.
How many pairs of equal sides does a isosceles trapezium have?
They are called isosceles trapeziums as they have two equal sides like isosceles triangles.
Does a trapezoid have two pairs of parallel sides?
A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid. A trapezoid has at least one pair of parallel sides, but it can also have another.
How many equal length sides does a trapezium have?
Trapezium. Some trapeziums have one line of symmetry. They are called isosceles trapeziums as they have two equal sides like isosceles triangles.