A **Quadrilaterals** are identified as 4-sided polygons, whose interior angles always add up to \(360°\).

There are 5 distinct types of quadrilaterals, each with their own unique sets of features: Rectangles, Squares, Parallelograms, Rhombuses, and Trapezoids.

- Contains 4 equal sides, all of which are parallel to each other
- Has 4 right angles, meaning that each angle is \(90°\)
- Diagonals bisect each other perpendicularly

- Contains 2 pairs of adjacent sides, each of which are equal and parallel to each other
- Has 4 right angles, meaning that each angle is \(90°\)
- Diagonals bisect each other

- Are formed within the midsegments of any quadrilateral
- Contains 2 pairs of adjacent sides both of which are parallel and equal to each other
- Opposite angles are equal to each other
- Diagonals bisect each other

- All 4 sides are equal
- Contains 2 pairs of adjacent sides both of which are parallel and equal to each other
- Diagonals bisect each other perpendicularly

- Has only one pair of parallel sides, referred to as bases
- Contains a pair of lateral sides, which are positioned at an angle and not parallel to each other
- The midsegment is parallel to the parallel sides; its length is the average of those sides

What is the midlength of the following Trapezoid?

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For a quadrilateral \(\text{STUV}\) with vertices \(\text{S}(-2, 4)\), \(\text{T}(-4,-2)\), \(\text{U}(2,-4)\), and \(\text{V}(4,0)\):

1. Find the midpoint \(\text{D}\) of side \(\text{ST}\), midpoint \(\text{E}\) of side \(\text{TU}\), midpoint \(\text{F}\) of side \(\text{UV}\), and midpoint \(\text{G}\) of side \(\text{VS}\).

2. Verify that opposite sides of \(\text{DEFG}\) are parallel and equal in length.

3. What type of shape is \(\text{DEFG}\)?

4. Draw the \(\text{STUV}\) quadrilateral and join the midpoints of adjacent sides to form a new quadrilateral DEFG to check your answer.

1. Find the midpoint \(\text{D}\) of side \(\text{ST}\), midpoint \(\text{E}\) of side \(\text{TU}\), midpoint \(\text{F}\) of side \(\text{UV}\), and midpoint \(\text{G}\) of side \(\text{VS}\).

2. Verify that opposite sides of \(\text{DEFG}\) are parallel and equal in length.

3. What type of shape is \(\text{DEFG}\)?

4. Draw the \(\text{STUV}\) quadrilateral and join the midpoints of adjacent sides to form a new quadrilateral DEFG to check your answer.

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