How many congruent sides can a trapezoid have?
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How many congruent sides can a trapezoid have?
Unfortunately Trapezoid, as used in the US, has two different definitions. Def #1: A quadrilateral with exactly one set of parallel sides. By this definition the maximum number of congruent sides in a trapezoid would be 3. It would be an isosceles trapezoid with one of the bases equal to both of the non-parallel sides.
Does a trapezoid have congruent sides?
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
Can a trapezoid have 3 angles?
A trapezoid cannot have three right angles. The total of the measures of the four interior angles of any quadrilateral always add up to 360 degrees. …
Can you have 3 congruent sides?
When a triangle has three congruent sides, we call the triangle an equilateral triangle. We mark the congruent sides by a slash mark. The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle.
Do trapezoids have 4 congruent sides?
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides. An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent.
What is a trapezoid with two congruent sides?
Isosceles trapezoids have two congruent sides.
What are 3 attributes of a trapezoid?
What are the Three Attributes of a Trapezoid?
- Its base angles and diagonals are equal if the trapezoid is isosceles.
- The intersection point of the diagonals is collinear (in the same line) to the midpoints of the two opposite sides.
- Opposite sides of an isosceles trapezoid are congruent.
How many angles are congruent in a trapezoid?
two
Notice that in trapezoid \begin{align*}LMNO\end{align*}, two base angles are marked as congruent. So, the trapezoid is isosceles. That means that the two non-parallel sides have the same length.
Has 3 congruent sides and 3 congruent angles?
Equilateral triangle: three congruent sides and three congruent angles (three sides of equal length and three angles of equal measure).
Does a square have 3 congruent sides?
A square is one of the most basic geometric shapes. It is a special case of a parallelogram that has four congruent sides and four right angles. A square is also a rectangle because it has two sets of parallel sides and four right angles.