Geometry Quadrilaterals and Other Polygons

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Author:
MoonRacer
ID:
157107
Filename:
Geometry Quadrilaterals and Other Polygons
Updated:
2012-06-03 19:27:17
Tags:
Geometry Quadrilaterals Math Polygons
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Description:
Review of Quadrilaterals for the Geometry Regents exam. Use paper to help draw pictures if you want to.
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  1. What is the sum of the interior angles in a polygon?
  2. What is the measure of an angle in a regular polygon?
  3. What is the sum of the exterior anlges of a polygon?
    360
  4. What is the measure of an exterior angle in a regular polygon?
  5. What are some properties of all parallelograms?
    • Opposite sides are congruent
    • Opposite angles are congruent
    • The consecutive angles are supplemtary
    • The diagonlas bisect each other
    • Opposite sides are paralell
  6. How can you prove a quadrilateral to be a parallelogram?
    • Opposite sides are congruent
    • Opposite angles are congruent
    • One pair of opposite sides is both parallel and congruent
    • Diagnols bisect each other
  7. What is a rhombus?
    A parallelogram with four congruent sides.
  8. How do you prove a rhombus?
    • All four sides are congruent (DO not need to prove that it is a parallelogram)
    • Prove that it is a parallelogram with two adjacent sides congruent.
    • Prove that it is a parallologram and its dignols are perpindicular.
    • Prove that it is a parallelogram with diagnols that bisect each other.
  9. What is a rectangle?
    A parallelogram with four right angles.
  10. How can you prove a rectangle?
    • Four right angles (without proving it a parallelogram)
    • Prove that it is a parallelogram with one right angle/two perpindicular lines.
    • Prove that it is a prallelogram and diagnols are congruent.
  11. What is a square?
    A parallelogram with four right angles and four congruent sides.
  12. How do you prove a square?
    • Prove that it has all of the qualities of BOTH a rectangle and a rhombus.
    • It must contain four right angles, and four congruent sides.
  13. What is a trapezoid?
    A quadrilaterla with exactly one pair of parallel bases sides.
  14. What is an isosceles trapezoid?
    A trapezoid with congurent base angles.
  15. How do you prove a trapezoid?
    Find one pair of opposite parallel sides, and find one pair opposite pair to not be congruent.
  16. How can you prove an isosceles trapezoid?
    • Prove that it is a trapezoid with two pairs of congruent angles.
    • Find that the it is a trapezoid and that legs are congruent.
    • Find that it is a trapezoid and that the dianols are congruent.
  17. What is the midsegment of a trapezoid?
    A segment that connects the midpoints of the legs of a triangle.
  18. What is important about the midsegment of a trapezoid?
    It is parallel to the bases and is the the average of the two bases.
  19. What is a kite?
    A quadrilateral with two pairs of congruent sides where the opposite sides are NOT congruent.
  20. What do you know about kites?
    • Their diagnols are perpindicular.
    • Their opposite angles are congruent.

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