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6.1 Classifying Quadrilaterals. Special Quadrilaterals A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rhombus is a parallelogram.

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Presentation on theme: "6.1 Classifying Quadrilaterals. Special Quadrilaterals A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rhombus is a parallelogram."— Presentation transcript:

1 6.1 Classifying Quadrilaterals

2 Special Quadrilaterals A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rhombus is a parallelogram with four congruent sides. A rectangle is a parallelogram with four right angles. A square is a parallelogram with four congruent sides and right angles. A kite is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent. A trapezoid is a quadrilateral with exactly one pair of parallel sides. The isosceles trapezoid at the right is a trapezoid whose nonparallel sides are congruent.

3 Classifying Quadrilaterals

4 Examples: Judging by appearance, classify the quadrilaterals in as many ways as possible. Most Specific Name:

5 Classifying Quadrilaterals Use slope and distance to determine the most precise name for quadrilateral LMNP with vertices L(1, 2), M(3, 3), N(5, 2), and P(3, 1). Slopes:Distances:

6 Classifying Quadrilaterals Use slope and distance to determine the most precise name for quadrilateral EFGH with vertices E(-3, 1), F(-7, -3), G(6, -3), and H(2,1). Slopes:Distances:

7 Using Properties Find the values of the variables for the kite. Find the values of the variables for the rhombus. Then find the lengths of the sides.

8 6.1 Classifying Quadrilaterals HW 6.1: 1-14, 19-25, 29-33, 36-41, 45-48


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