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Properties of Quadrilaterals: Definitions and Qualities Exploration

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9 diapositives · 207 Views · Jul 29, 2014

Explore the properties of various quadrilaterals by listing their defining qualities using mathematical vocabulary. Study adjacent angle measures, opposite angle measures, adjacent side measures, opposite side measures, and more.

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  1. Day 2 Geometry Attendance Questions? Homework Sheet Polygons Assignment: List Properties for ALL Quadrilaterals

  2. Quadrilaterals Write a definition for each. Use mathematical vocabulary. Adjacent angle measures Opposite angle measures Adjacent side measures Opposite side measures

  3. Your definitions should start… A quadrilateral with… Then, list the qualities that make it (define) that shape.

  4. Sides Opposite Lengths – always congruent Adjacent Lengths – sometimes congruent Opposite Slopes – always same Adjacent Slopes – sometimes perpendicular Diagonals Lengths – sometimes congruent Slopes – sometimes perpendicular Midpoint – they always bisect each other Angles Opposite – always congruent Adjacent – always supplementary

  5. Sides Opposite Lengths – always congruent Adjacent Lengths – sometimes congruent Opposite Slopes – always the same Adjacent Slopes – always perpendicular Diagonals Lengths – always congruent Slopes – sometimes perpendicular Midpoint – always bisect Angles Opposite – always congruent Adjacent – always congruent

  6. Sides Opposite Lengths – always congruent Adjacent Lengths – always congruent Opposite Slopes – always same Adjacent Slopes – sometimes perpendicular (square) Diagonals Lengths – sometimes congruent (square) Slopes – always perpendicular Midpoint – always bisect Angles Opposite – always congruent, sometimes supplementary Adjacent – always supplementary, sometimes congruent

  7. Sides Opposite Lengths – always congruent Adjacent Lengths – always congruent Opposite Slopes – always same Adjacent Slopes – always perpendicular Diagonals Lengths – always congruent Slopes – always perpendicular Midpoint – always bisect Angles Opposite – always congruent, always supplementary Adjacent – always congruent, always supplementary

  8. Sides Opposite Lengths – sometimes congruent (isosceles, rectangle) Adjacent Lengths – sometimes congruent (square) Opposite Slopes – at least one pair the same slope Adjacent Slopes – sometimes perpendicular Diagonals Lengths – sometimes congruent (isosceles, rectangle) Slopes – sometimes perpendicular Midpoint – sometimes bisect Angles Opposite – sometimes congruent (rectangle) Adjacent – sometimes congruent (rectangle)

  9. Sides Opposite Lengths – sometimes congruent Adjacent Lengths – sometimes congruent Opposite Slopes – sometimes same Adjacent Slopes – sometimes perpendicular Diagonals Lengths – sometimes congruent Slopes – always perpendicular Midpoint – one diagonal always bisected Angles Opposite – one pair always congruent Adjacent – sometimes congruent, sometimes suplementary