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Properties of Other Quadrilaterals

Properties of Other Quadrilaterals. Students will be able to… Identify and use the properties of rectangles, squares, rhombuses, kites, and trapezoids. The following quadrilaterals have perpendicular diagonals:. Rhombus Square Kite.

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Properties of Other Quadrilaterals

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  1. Properties of Other Quadrilaterals Students will be able to… Identify and use the properties of rectangles, squares, rhombuses, kites, and trapezoids

  2. The following quadrilaterals have perpendicular diagonals: • Rhombus • Square • Kite

  3. The following quadrilaterals have opposite angles that are bisected: • Rhombus • Square

  4. Example: Find the measures of the numbered angles in the rhombus. 1 12° 2 4 3

  5. The figure below is a rhombus. Find TQ, TP, and SQ.

  6. The following quadrilaterals have congruent diagonals • Rectangle • Square • Isosceles Trapezoid

  7. EXAMPLE BD=5y-7 and AC = y + 5. Find the value of y and the length of BE. E

  8. EXAMPLE: If BD= 2x+10 and AC=x+15, find x and the length of the diagonals.

  9. The 2 parallel sides are the bases • The 2 non-parallel sides are the legs TRAPEZOID BASE ANGLES B D LEG LEG A C BASE ANGLES Name the following: Bases: Legs: 2 Pairs of Base Angles:

  10. The following quadrilaterals have exactly one pair of opposite parallel sides • Trapezoid • Isosceles Trapezoid The following quadrilaterals have exactly one pair of opposite congruent sides: • Isosceles Trapezoid

  11. Theorem: The base angles of an isosceles trapezoid are congruent B D C A Find x.

  12. The following quadrilaterals have exactly one pair of opposite congruent angles • Kite

  13. Example: Find the measures of the numbered angles. 46° 1 2 3

  14. 1 44° 112° 2 FIND THE MEASURE OF THE MISSING ANGLES.

  15. 2 angles that share a leg are supplementary because they are same-side interior angles.

  16. The measure of angle A= 110. find the measures of the other 3 angles.

  17. Midsegment (Median) of a Trapezoid • Joins the midpoints of the nonparallel sides • Is parallel to the bases • Its length is ½ the sum of the bases MN || BC MN || AD MN = ½(BC+AD)

  18. Find the following: EF: 86° 3 4 108°

  19. Find x: x 8 12

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