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
Thm 6.16
A qua is a rectangle iff it has for right angles
25
Trapezoid
Has exactly one pair of opposite sides
26
Isosceles trapezoid
If the legs are congruent than the trapezoid is isosceles
27
Base angles
A trapezoid has two base angles
28
Trapezoid base angles theorem
If a trapezoid is isosceles than each pair of base angles is congruent
29
Trapezoid diagonals theorem
If a trapezoid is isosceles than it's diagonals are congruent
30
Thm 6.19
If a trapezoid has one pair of congruent base angles than it is an isosceles trapezoid
31
Thm 6.20
If a trapezoid has congruent diagonals than it is an isosceles trapezoid
32
Midsegment
The segment that connects the midpoints of its legs
33
Midsegment Thm for trapezoid
The Midsegment of a trapezoid is parallel to each base and it's length is half the sum of the lengths of the bases