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Honors Geometry > Chapter 7 > Flashcards

Chapter 7 Flashcards

1
Q

what is theorem 7.1?

A

Polygon interior angles theorem

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2
Q

what does the polygon interior angles theorem say?

A

the sum of the measures of the interior angles of a convex n-gon is (n-2)180.

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3
Q

what is theorem 7.2?

A

Polygon exterior angles theorem

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4
Q

what does the polygon exterior angles theorem say?

A

the sum of the measure of the exterior angles of any convex polygon is 360.

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5
Q

equilateral polygon

A

all sides are congruent

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6
Q

equiangular polygon

A

all angles are congruent

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7
Q

regular polygon

A

both equilateral and equiangular

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8
Q

what are consecutive angles?

A

two angles that share aside.

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9
Q

what does a diagonal of a polygon do?

A

a segment that joins two non-consecutive vertices.

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10
Q

what are the properties of a parallelogram?

A
  • opposite sides are congruent
  • opposite angles are congruent
  • consecutive angles are supplementary
  • diagonals bisect each other
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11
Q

what is a rhombus?

A

a parallelogram with four congruent sides.

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12
Q

what is a rectangle?

A

a parallelogram with four right angles.

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13
Q

what is a square?

A

a parallelogram with four right angles & four congruent sides.

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14
Q

what are the properties of a rhombus?

A
  • all sides are congruent
  • diagonals are perpendicular
  • diagonals bisect angles
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15
Q

what are the properties of a rectangle?

A
  • all angles are congruent (90)

- diagonals bisect the angles

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16
Q

what is a trapezoid?

A

a quadrilateral with one pair of parallel sides.

17
Q

what is an isosceles trapezoid?

A

a trapezoid with congruent legs.

18
Q

what is theorem 7.14 & 7.15?

A

isosceles trapezoid base theorem

19
Q

what does the isosceles trapezoid base theorem say?

A

a trapezoid is isosceles if and only if each pair of base angles is congruent.

20
Q

what is theorem 7.16?

A

isosceles trapezoid diagonals theorem

21
Q

what does the isosceles trapezoid diagonals theorem say?

A

a trapezoid is isosceles if and only if its diagonals are congruent.

22
Q

what is theorem 7.17?

A

trapezoid midsegment theorem

23
Q

what does the trapezoid midsegment theorem say?

A

the midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.

24
Q

what is the formula for a trapezoid’s midsegment?

A

1/2(base1+base2)

25
Q

what is a kite?

A

a quadrilateral that has two pairs of consecutive sides, but opposite sides are not congruent.

26
Q

what are the properties of a kite?

A
  • diagonals are perpendicular

- exactly one pair of opposite angles are congruent

Honors Geometry (6 decks)

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