Test your basic knowledge |

GRE Math: Quadrilaterals And Other Polygons

Subjects : gre, math

Instructions:

Answer 10 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. polygons: sum of all exterior angles
(n-2)180
360
quadrilateral with one pair of parallel sides - parallel sides are bases - heights are equal - legs may or may no be equal (=isosceles trapezoid) - diagonals may or may not be equal - area = .5h(b1+b2)
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2

2. kite
2 pairs of adjacent congruent sides - the diagonals are perpendicular to each other - the longer diagonal bisects the shorter - the longer diagoanl bisects the two angles whose vertices are its endpoints
360
Opposite angles are equal - consecutive angles are supplementary - opposite sides are equal - diagonals bisect each other - area= b*h - perimenter = 2b + 2c
quadrilateral with parallel opposite sides

3. square
Opposite angles are equal - consecutive angles are supplementary - opposite sides are equal - diagonals bisect each other - area= b*h - perimenter = 2b + 2c
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2
(n-2)180

4. polygons: number of diagonals is
(n*(n-3)/2 where n>=3
Equilateral parallelogram - opposite angles are equal - all sides are equal - diagonals are perpendicular to each other - perimeter=4s - area =b*h= half the product of the diagonals
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b
(n-2)180

5. facts about parallelograms
Opposite angles are equal - consecutive angles are supplementary - opposite sides are equal - diagonals bisect each other - area= b*h - perimenter = 2b + 2c
quadrilateral with parallel opposite sides
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2
Equilateral parallelogram - opposite angles are equal - all sides are equal - diagonals are perpendicular to each other - perimeter=4s - area =b*h= half the product of the diagonals

6. rectangle
2 pairs of adjacent congruent sides - the diagonals are perpendicular to each other - the longer diagonal bisects the shorter - the longer diagoanl bisects the two angles whose vertices are its endpoints
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b
quadrilateral with one pair of parallel sides - parallel sides are bases - heights are equal - legs may or may no be equal (=isosceles trapezoid) - diagonals may or may not be equal - area = .5h(b1+b2)
Equilateral parallelogram - opposite angles are equal - all sides are equal - diagonals are perpendicular to each other - perimeter=4s - area =b*h= half the product of the diagonals

7. trapezoid
quadrilateral with one pair of parallel sides - parallel sides are bases - heights are equal - legs may or may no be equal (=isosceles trapezoid) - diagonals may or may not be equal - area = .5h(b1+b2)
(n-2)180
Equilateral parallelogram - opposite angles are equal - all sides are equal - diagonals are perpendicular to each other - perimeter=4s - area =b*h= half the product of the diagonals
2 pairs of adjacent congruent sides - the diagonals are perpendicular to each other - the longer diagonal bisects the shorter - the longer diagoanl bisects the two angles whose vertices are its endpoints

8. parallelogram
2 pairs of adjacent congruent sides - the diagonals are perpendicular to each other - the longer diagonal bisects the shorter - the longer diagoanl bisects the two angles whose vertices are its endpoints
Equilateral parallelogram - opposite angles are equal - all sides are equal - diagonals are perpendicular to each other - perimeter=4s - area =b*h= half the product of the diagonals
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b
quadrilateral with parallel opposite sides

9. rhombus
Equilateral parallelogram - opposite angles are equal - all sides are equal - diagonals are perpendicular to each other - perimeter=4s - area =b*h= half the product of the diagonals
(n*(n-3)/2 where n>=3
quadrilateral with parallel opposite sides
2 pairs of adjacent congruent sides - the diagonals are perpendicular to each other - the longer diagonal bisects the shorter - the longer diagoanl bisects the two angles whose vertices are its endpoints

10. polygons: sum of all interior angles
(n*(n-3)/2 where n>=3
quadrilateral with one pair of parallel sides - parallel sides are bases - heights are equal - legs may or may no be equal (=isosceles trapezoid) - diagonals may or may not be equal - area = .5h(b1+b2)
(n-2)180
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2