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Geometry Quadrilaterals Flashcards

1
Q

polygon2

A
  • closed figure, nonconsecutive sides don’t intersect

- named by their vertices in order around

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2
Q

convex polygon

A

each interior angle measure

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3
Q

diagonal of a polygon

A

connects 2 nonconsecutive vertices

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4
Q

quadrilateral

A

any 4 sided polygon

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5
Q

parallelogram5

A
  • opposite sides are parallel
  • opposite sides are congruent
  • opposite angles are congruent
  • diagonals bisect each other
  • all pairs of consecutive angles are supplementary
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6
Q

rectangles3

A
  • all properties of a parallelogram
  • all angles are right angles
  • diagonals are congruent
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7
Q

kites4

A
  • 2 disjoint pairs of consecutive sides are congruent
  • 1 diagonal is the perpendicular bisector of the other
  • 1 pair of opposite angles congruent
  • one of the diagonals bisects a pair of opposite angles
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8
Q

rhombuses5

A
  • all properties of a parallelogram and kite
  • all sides are congruent
  • diagonals bisect the angles
  • diagonals perpendicular bisect each other
  • diagonals form four congruent right triangles
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9
Q

squares2

A
  • all properties of a rectangle and rhombus

- diagonals form 4 isosceles right triangles

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10
Q

isosceles trapezoids6

A
  • legs congruent
  • bases parallel
  • lower base angles are congruent
  • upper base angles are congruent
  • diagonals are congruent
  • lower base angles are supplementary to upper base angles
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11
Q

proving a parallelogram5

A
  • both pairs of opposite sides are parallel
  • both pairs of opposite sides are congruent
  • one pair of opposite sides is both parallel and congruent
  • diagonals bisect each other
  • both pairs of opposite angles are congruent
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12
Q

proving a rectangle3

A
  • contains four right angles
  • diagonals of a parallelogram are congruent
  • parallelogram has 1 right angle
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13
Q

proving a kite2

A
  • two disjoint pairs of consecutive sides are congruent

- 1 of the diagonals perpendicular bisects the other

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14
Q

proving a rhombus3

A
  • a parallelogram contains a pair of congruent consecutive sides
  • a diagonal bisects two angles of a parallelogram
  • the diagonals perpendicular bisect each other
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15
Q

proving a square

A

-it is both a rectangle and rhombus

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16
Q

proving an isosceles trapezoid3

A
  • nonparallel sides are congruent
  • lower or upper base angles are congruent
  • diagonals are congruent
17
Q

12 sided polygon

18
Q

15 sided polygon

A

pentadecagon

19
Q

interior angles formula

20
Q

exterior angles formula

21
Q

diagonals formula

A

d=(n(n-3))/2

22
Q

regular polygon

A

polygon that is both equilateral and equiangular

23
Q

regular polygon interior angles formula

A

((n-2)180)/n

24
Q

regular polygon exterior angles formula

Math (9 decks)

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