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Honors Geometry > Quadrilateral and Polygon Unit > Flashcards

Quadrilateral and Polygon Unit Flashcards

1
Q

Define parallelogram

A

A quadrilateral with both pair of opposite sides parallel

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2
Q

How do you name a parallelogram?

A

With the symbol for parallelogram and then all 4 vertices going around in a circle

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3
Q

What is the symbol for parallelogram?

A

A little parallelogram (▱)

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4
Q

Give the six properties for all parallelograms.

A
  1. Opposite sides are parallel
  2. Opposite sides are congruent
  3. Opposite angles are congruent
  4. Consecutive angles are supplementary
  5. Diagonals bisect each other
  6. Diagonal creates 2 congruent triangles
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5
Q

Give all the ways to prove a quadrilateral is a parallelogram.

A
  1. Both pairs of opposite sides are parallel
  2. Both pairs of opposite sides are congruent
  3. Both pairs of opposite angles are congruent
  4. All consecutive angles are supplementary
  5. The diagonals bisect each other
  6. One pair of opposite sides are congruent and parallel
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6
Q

Give the seven properties of any rhombus.

A
  1. All 4 sides are congruent
  2. Opposite sides are parallel
  3. Diagonals are angle bisectors
  4. Diagonals are perpendicular
  5. Diagonals bisect each other
  6. Opposite angles are congruent
  7. Consecutive angles are supplementary
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7
Q

Give the five properties of any rectangle.

A
  1. Opposite sides are congruent
  2. 4 right angles
  3. Diagonals are congruent
  4. Diagonals bisect each other
  5. Opposite sides are parallel
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8
Q

Give the seven properties of any square

A
  1. All 4 sides are congruent
  2. 4 right angles
  3. Diagonals are congruent
  4. Diagonals bisect each other
  5. Diagonals are angle bisectors (45º)
  6. Diagonals are perpendicular
  7. Opposite sides are parallel
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9
Q

Give the definition of a trapezoid.

A

A quadrilateral with only 1 pair of opposite sides parallel

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10
Q

What is the angle rule for trapezoids?

A

Same side interior angles are supplementary

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11
Q

What do we call the parallel sides of a trapezoid?

A

Bases

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12
Q

What do we call the nonparallel sides of a trapezoid?

A

Legs

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13
Q

Define a median of a trapezoid.

A

A line segment connecting the midpoint of the legs

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14
Q

What are the two properties for a median of a trapezoid?

A
  1. It’s parallel to the bases
  2. Its length is the average of the lengths of the bases
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15
Q

What makes a trapezoid isosceles?

A

The legs are congruent

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16
Q

Give the properties specific for an isosceles trapezoid.

A
  1. Legs are congruent
  2. Base angles are congruent
  3. Diagonals are congruent.
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17
Q

What are the two methods used to prove quadrilaterals congruent?

A

SASAS & ASASA

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18
Q

What is the key when naming 2 congruent quadrilaterals?

A

You must match up the corresponding parts / letters exactly.

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19
Q

Why is it important to match up the corresponding parts / letters exactly?

A

To be able to use CPCQC

20
Q

If three or more parallel lines divide a transversal in to congruent segments, what else is true about those lines?

A

They are the same distance apart from each other.

21
Q

What is true about any other transversal to those parallel lines?

A

It also divides that transversal in to congruent segments (it is an egg slicer).

22
Q

What is the definition of polygon?

A

Many sided figure.

23
Q

What are 3 things that make a figure not a polygon?

A
  1. No curves
  2. No overlapping sides
  3. It must be enclosed
24
Q

What is the definition of concave polygon?

A

A polygon with at least one diagonal that goes outside the figure (A polygon with no ‘caved in’ or ‘dented in’ sides)

25
Q

What is the definition of convex polygon?

A

A polygon that is not concave / A polygon with no diagonals that go outside the figure.

26
Q

What is the definition of regular polygon?

A

A polygon with all sides congruent and all angles congruent.

27
Q

Name the polygon with 7 sides.

A

Septagon or heptagon

28
Q

Name the polygon with 10 sides.

A

Decagon

29
Q

Name the polygon with 4 sides.

A

Quadrilateral

30
Q

Name the polygon with 5 sides.

A

Pentagon

31
Q

Name the polygon with 8 sides.

A

Octagon

32
Q

Name the polygon with 15 sides.

A

15-gon

33
Q

Name the polygon with 12 sides.

A

Dodecagon

34
Q

Name the polygon with 6 sides.

A

Hexagon

35
Q

Name the polygon with 50 sides.

A

50-gon

36
Q

Name the polygon with 9 sides.

A

Nonagon

37
Q

Name the polygon with 11 sides.

A

11-gon

38
Q

Name the polygon with n sides.

A

n-gon

39
Q

What is the formula for the sum of the measures of the interior angles for any convex polygon?

A

I = (n – 2) x 180°

40
Q

What is the formula for the sum of the measures of the exterior angles for any convex polygon?

A

E = 360°

41
Q

What is the formula for the measure of each interior angle of any regular polygon?

A

i = I / n = [(n – 2) x 180°] / n

42
Q

What is the formula for the measure of each exterior angle of any regular polygon?

A

e = E / n = 360°/n

43
Q

How do you find the measure of each interior angle of a polygon that is not regular?

A

You can not.

44
Q

What is e + i ?

A

e + i = 180° (linear pair postulate)

45
Q

How do you name a polygon?

A

Using all the vertices going around in a circle.

46
Q

What is the symbol for polygon?

A

There is no symbol for polygon.

Honors Geometry (12 decks)

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