# 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 Folders: Description: Review of Quadrilaterals for the Geometry Regents exam. Use paper to help draw pictures if you want to. Show Answers:

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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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