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How many congruent sides can a trapezoid have?

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. …

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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.
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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.