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Math 310

Math 310. Section 10 Quadrilaterals Review. Special Notes! All the properties of a quadrilateral hold. The length of the mid-segment is the average of the lengths of the parallel sides. The mid-segment is parallel to the bases. Trapezoid.

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Math 310

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  1. Math 310 Section 10 Quadrilaterals Review

  2. Special Notes! • All the properties of a quadrilateral hold. • The length of the mid-segment is the average of the lengths of the parallel sides. • The mid-segment is parallel to the bases. Trapezoid Definition: A quadrilateral with a pair of parallel sides.

  3. Special Notes! • All the properties of a quadrilateral hold. • Diagonals are perpendicular. • The diagonal between non-vertex angles is bisected by the diagonal between vertex angles. • Angles between congruent sides are called vertex angles. • Angle between non-congruent sides are called non-vertex angles. • Non-vertex angles are congruent. • The diagonal between vertex angles bisects the vertex angles. Kite NON-VERTEX ANGLES VERTEX ANGLES Definition: A quadrilateral with two non-overlapping pairs of congruent adjacent sides.

  4. Definition: A quadrilateral with opposites sides parallel. • Special Notes! • All the properties of a trapezoid hold. • Opposite sides are parallel. • Adjacent angles are supplementary. • Opposite sides are congruent. • Opposite angles are congruent. • Diagonals bisect each other. • If one angle is a right angle, then all angles are right angles. Parallelogram

  5. Rhombus • Special Notes! • All the properties of a parallelogram and a kite hold. • All sides are congruent. • Diagonals are perpendicular bisectors. Definition: A quadrilateral with four congruent sides.

  6. Rectangle • Special Notes! • All the properties of a parallelogram hold. • It has an interior right angle. • All the angles are right-angles. Definition: A parallelogram with one right angle.

  7. Definition: A rhombus that is a rectangle. Square • Special Notes! • All the properties of a parallelogram hold. • It a regular quadrilateral. • A square is also a trapezoid. • A square is also a parallelogram. • A square is also a rhombus. • A square is also a rectangle. • A square is also a kite.

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