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Identify the given shape. Explain how you found your answer. ​

Identify the given shape. Explain how you found your answer. ​-example-1

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Answer:

The answer is trapezoid.

What does a trapezoid shape look like?

Trapezoids are quadrilaterals that have one set of parallel sides. Some authors claim it is exactly one set of parallel sides, other authors say at least one set of parallel sides, and by doing so allow parallelograms to be a special subgroup of trapezoids.

Trapezoids are not studied in US geometry to anywhere near the same depth as parallelograms. As a result in most US Geometry textbooks the only “special” trapezoids are isosceles trapezoids, where the two sides between the parallel sides are congruent to each other and the right trapezoid, where one of the non-parallel sides is perpendicular to the two parallel sides.

Types of trapezoids:

1. An isosceles trapezoid is a trapezoid where the sides (legs) have the same length, and the base angles have the same measure. It has reflection symmetry. This is possible for acute or right trapezoids. This is a cyclic quadrilateral. You can a draw a circumcircle around such a trapezoid.

2. It is called a right trapezoid (also called right-angled trapezoid) has two adjacent right angles. Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

3. An acute trapezoid has two adjacent acute angles on its longer base edge. The two adjacent angles on the shorter base edge are obtuse.

4. An obtuse trapezoid has one acute and one obtuse angle on each base.

5. A parallelogram is a trapezoid with two pairs of parallel sides. A parallelogram has central 2-fold rotational symmetry (or point reflection symmetry). It is possible for obtuse or right trapezoids.

6. A tangential trapezoid is a trapezoid that has an incircle.

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