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Geometry Honors > Properties of Special Quadrilaterals > Flashcards

Properties of Special Quadrilaterals Flashcards

1
Q

Properties of a Parallelogram

A
  • Opposite sides of a parallelogram are congruent
  • Opposite sides of a parallelogram are parallel
  • Opposite angles of a parallelogram are congruent
  • Diagonals of a parallelogram bisect each other
  • Any pair of consecutive angles of a parallelogram are supp.
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2
Q

Properties of Rectangles

A
  • All properties of a parallelogram apply
  • all angles are right angles
  • the diagonals are congruent
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3
Q

Properties of Kites (‘Half a Rhombus’)

A
  • Two disjoint pairs of consecutive sides are congruent
  • the diagonals of a kite are perp
  • one diagonal is the perp bisector of the other diagonal
  • one of the diagonals of a kite bisects a pair of opposite angles
  • one pair of opposite angles of a kite are congruent
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4
Q

Properties of Rhombus

A
  • all properties of parallelogram apply
  • all properties of a kite apply
  • the diagonals of a rhombus bisect angles
  • the diagonals of a rhombus are perp. bisectors of each other
  • the diagonals of a rhombus divide the rhombus into four congruent right triangles
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5
Q

properties of squares

A
  • all properties of rectangle apply
  • all properties of a rhombus apply
  • the diagonals form four congruent isos right triangles
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6
Q

properties of isos trapezoids

A
  • the legs are congruent
  • the bases are parallel
  • the lower base angles are congruent
  • the upper base angles are congruent
  • the diagonals are congruent
  • any lower base angle is supp. to any upper base angle
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7
Q

Formula for how many degrees there are in the sum of the interior angles of a polygon

A

180(n-2)

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8
Q

Formula for how many diagonals can be drawn

A 
 2
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9
Q

Formula for measure of an interior angle

A

180 - 360/n

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10
Q

formula for exterior angles

A

360/n

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11
Q

Name of 3 sided polygon

A

triangle

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12
Q

4 sided polygon

A

quadrilateral

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13
Q

5 sided polygon

A

pentagon

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14
Q

6 sided polygon

A

hexagon

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15
Q

7 sided polygon

A

heptagon

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16
Q

8

A

octagon

17
Q

9

A

nonagon

18
Q

10

A

decagon

19
Q

12

A

dodecagon

20
Q

15

A

pentadecagon

21
Q

Midline Theorem

A

a segment joining two midpoints of a triangle is parallel to and half the measure of the third side

22
Q

EAIT

Exterior Angle Inequality Theorem

A

Exterior angle is greater than either remote interior angle

23
Q

EAT

Exterior Angle Theorem

A

The measure of an exterior angle of a triangle is equal to measure of the remote interior angles

24
Q

No Choice Theorem

A

If 2 angles of a triangle are congruent to 2 angles of another triangle, the third angles are congruent

25
Q

AAS

Angle Angle Side

A

If two corresponding angles and a non corresponding side of a triangle are congruent than the triangles are congruent

Geometry Honors (7 decks)

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