polygon – a closed many straight-sided figure

39

Upload: karen-alexander

Post on 28-Dec-2015

222 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Polygon – a closed many straight-sided figure
Page 2: Polygon – a closed many straight-sided figure

Polygon – a closed many straight-sided figure.

Page 3: Polygon – a closed many straight-sided figure

Angle – is a figure formed by two non-collinear rays that meet at a common end point.

Page 4: Polygon – a closed many straight-sided figure

Degree – a unit of measurement of an angle or arc, represented by the symbol º.

120º

Page 5: Polygon – a closed many straight-sided figure

DefinitionRight Angle – an angle whose measure is exactly 90°.Also define as an angle formed by 2 perpendicular lines.

Page 6: Polygon – a closed many straight-sided figure

DefinitionPerpendicular lines– are two lines intersecting at right angles.

For example,ray EP & ray ET.

P

E T

Page 7: Polygon – a closed many straight-sided figure

parallelogramrectangle

rhombus square

trapezoid

Page 8: Polygon – a closed many straight-sided figure

Quadrilateral – it refers to any four-sided figure.

a polygon with 4 angles and 4 straight sides.

Page 9: Polygon – a closed many straight-sided figure
Page 10: Polygon – a closed many straight-sided figure
Page 11: Polygon – a closed many straight-sided figure

You can name a quadrilateral the right as:

ROSE or OSER or SERO or EROS

Or RESO or ESOR or SORE

But not,ROES or OESR or

SEOR or ERSO

Page 12: Polygon – a closed many straight-sided figure
Page 13: Polygon – a closed many straight-sided figure

A quadrilateral has the following parts:

4 sides4 vertices4 angles2 diagonals

Page 14: Polygon – a closed many straight-sided figure

Take a look at quadrilateral LOVE.

L O

E V

The sides are: LO, OV ,VE ,EL

Page 15: Polygon – a closed many straight-sided figure

Take a look at quadrilateral LOVE.

L O

E V

The vertices are: L, O ,V ,E

Page 16: Polygon – a closed many straight-sided figure

Take a look at quadrilateral LOVE.

L O

E V

The angles are: L, O ,V , E

Page 17: Polygon – a closed many straight-sided figure

Take a look at quadrilateral LOVE.

L O

E V

The diagonals are: LV & OE

Page 18: Polygon – a closed many straight-sided figure
Page 19: Polygon – a closed many straight-sided figure

Take a look at quadrilateral LOVE.

L O

E V

The consecutive sides are: LE & LO LO & OV ,OV &VE , VE & EL

Consecutive sidesConsecutive sides: two : two sides with a common sides with a common endpointendpoint

Page 20: Polygon – a closed many straight-sided figure

L O

E V

The opposite sides are: LO & EV , OV & LE

Opposite sidesOpposite sides: two : two sides with no common sides with no common endpointendpoint

Page 21: Polygon – a closed many straight-sided figure

Consecutive angles- two angles with a common side.

L O

E V

The consecutive angles are: L & E L & O , O & V , V& E

Page 22: Polygon – a closed many straight-sided figure

Opposite angles- two angles with no common side.

L O

E V

The opposite angles are:L & V , O & E

Page 23: Polygon – a closed many straight-sided figure

Consecutive vertices- two vertices with a common side.

L O

E V

The consecutive vertices are: L & E L & O , O & V , V& E

Page 24: Polygon – a closed many straight-sided figure

Opposite vertices- two vertices with no common side.

L O

E V

The opposite vertices are:L & V , O & E

Page 25: Polygon – a closed many straight-sided figure

Name the following parts:- 2 pairs of opposite sides- 4 pairs of consecutive vertices-4 pairs of consecutive angles

K I

ND

Page 26: Polygon – a closed many straight-sided figure

The sum of all the angles equals 360º degrees.A

mA+ mB +mC + mD =360

B C

D

Page 27: Polygon – a closed many straight-sided figure

The sum of all the angles equals 360º degrees.

90º

90º

90º

90º

90º90º90º90º+

360º

Page 28: Polygon – a closed many straight-sided figure

The sum of all the angles equals 360º degrees.

Copyright © 2000 by Monica Yuskaitis

90º

90º

90º

90º

90º90º90º90º+

360º

Page 29: Polygon – a closed many straight-sided figure

The sum of all the angles equals 360º degrees.

70º

110º

70º

110º

70º70º

110º110º+360º

Page 30: Polygon – a closed many straight-sided figure

The sum of all the angles equals 360º degrees.

65º

115º65º

115º

65º65º

115º115º+360º

Page 31: Polygon – a closed many straight-sided figure

90º

90º

90º

?

90º90º90º

?360º

+

Page 32: Polygon – a closed many straight-sided figure

70º

?

70º

110º

70º70º

110º?+

360º

Page 33: Polygon – a closed many straight-sided figure

65º

115º65º

?65º65º

115º?+

360º

Page 34: Polygon – a closed many straight-sided figure

90º

90º

?

90º

90º90º90º

?+360º

Page 35: Polygon – a closed many straight-sided figure

58º81º

109º?+

360º81º58º

109º?

Page 36: Polygon – a closed many straight-sided figure

Copyright © 2000 by Monica Yuskaitis

Page 37: Polygon – a closed many straight-sided figure

trapezium

No parallel sides

Page 38: Polygon – a closed many straight-sided figure

Answer each question as indicated.

What is a quadrilateral?

Page 39: Polygon – a closed many straight-sided figure

Answer each question as indicated.

What is the sum measures of the interior angles of a quadrilateral?

Answer: 360