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Test your basic knowledge |
GRE Math: Quadrilaterals And Other Polygons
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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. 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
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
2. parallelogram
quadrilateral with parallel opposite sides
360
(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)
3. polygons: sum of all exterior angles
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
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2
360
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b
4. rhombus
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
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
5. polygons: sum of all interior angles
(n-2)180
Opposite angles are equal - consecutive angles are supplementary - opposite sides are equal - diagonals bisect each other - area= b*h - perimenter = 2b + 2c
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2
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
6. square
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2
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*(n-3)/2 where n>=3
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b
7. rectangle
(n-2)180
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
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b
8. polygons: number of diagonals is
(n*(n-3)/2 where n>=3
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
Opposite angles are equal - consecutive angles are supplementary - opposite sides are equal - diagonals bisect each other - area= b*h - perimenter = 2b + 2c
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)
9. facts about parallelograms
All sides are equal - all angles are 90 - both diagonals bisect each other at 90 - each diagonal is ssqrt2 - area = s^2
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
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
10. trapezoid
(n-2)180
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
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)
Parallelograms with right angles - all angles are 90 - diagonals are equal (not perpendicular) - perimeter = 2b+2a - area = a*b