6 Flashcards

0
Q

A parallelogram can be a

A

Rhombus square rectangle

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1
Q

Figure out a parallelogram

A

Two pairs of parallel sides

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2
Q

Figure out a rhombus

A

Opposite reciprocal slopes of diagonals

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3
Q

Figure out a rectangle

A

Opposite receipt cal slopes

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4
Q

Figure out a square

A

Rhombus and a rectangle

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5
Q

Figure out a trapeOid

A

One pair of parallel sides

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6
Q

Figure out an isosceles trapezoid

A

Distance formula for legs or diagonals have to be congruent

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7
Q

Polygon

A

A plane figure formed by THREe or more segments called sides

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8
Q

Convex

A

A polygon that is convex if no line that contains a side of the polygon contains a point in the interior of the polygon

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9
Q

Concave

A

A polygon that is not convex

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10
Q

Diagonal

A

A segment of a polygon that joins two non consecutive vertices

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11
Q

Equilateral

A

A polygon is equilateral if all sides are congruent

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12
Q

Regular

A

A polygon is regular if it’s both equiangular and equilateral

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13
Q

Polygon interior angle theorem

A

The sun of the measure of their int angles of a convex ngon is
(n-2)(180)

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14
Q

Corollary 6.1

A

The measure of each int angle of a regular ngon is 1/2 (n-2) (180)

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15
Q

Polygon ext angle theorom

A

The sum of the measures of the exterior angles, one from each vertex, of a convex polygon is 360 degrees

16
Q

Corollary 6.2

A

The measure of every exterior angle of a regular ngon is 1/n (360)

17
Q

Rhombus

A

Pgram that all four sides re congruent

18
Q

Rectangle

A

P gram with four right angles

19
Q

Square

A

P gram with for congruent sides and right angles

20
Q

Thm 6.12

A

A p gram is a rhombus iff it’s diagonals are perp

21
Q

Thm 6.13

A

A p gram is a rhombus iff each diagonal bisects a pair of opposite angles

22
Q

Thm 6.14

A

A p gram is a rectangle iff it’s diagonals are congruent

23
Q

Thm 6.15

A

A quad is a rhombus iff it has four congruent sides

24
Q

Thm 6.16

A

A qua is a rectangle iff it has for right angles

25
Q

Trapezoid

A

Has exactly one pair of opposite sides

26
Q

Isosceles trapezoid

A

If the legs are congruent than the trapezoid is isosceles

27
Q

Base angles

A

A trapezoid has two base angles

28
Q

Trapezoid base angles theorem

A

If a trapezoid is isosceles than each pair of base angles is congruent

29
Q

Trapezoid diagonals theorem

A

If a trapezoid is isosceles than it’s diagonals are congruent

30
Q

Thm 6.19

A

If a trapezoid has one pair of congruent base angles than it is an isosceles trapezoid

31
Q

Thm 6.20

A

If a trapezoid has congruent diagonals than it is an isosceles trapezoid

32
Q

Midsegment

A

The segment that connects the midpoints of its legs

33
Q

Midsegment Thm for trapezoid

A

The Midsegment of a trapezoid is parallel to each base and it’s length is half the sum of the lengths of the bases