Download Angles of Polygons

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
page
5
page
6
page
7
page
8
page
9
page
10
page
11
page
12
page
13
page
14
page
15
page
16
page
17
page
18
page
19
Document related concepts
no text concepts found
Transcript 
DIAGONAL
A DIAGONAL OF A POLYGON IS A SEGMENT THAT CONNECTS ANY TWO
NONCONSECUTIVE VERTICES.
POLYGON INTERIOR ANGLES SUM
• THE SUM OF THE ANGLE MEASURES OF A POLYGON IS THE SUM OF THE ANGLE
MEASURES OF THE TRIANGLES FORMED BY DRAWING ALL THE POSSIBLE
DIAGONALS FROM ONE VERTEX.
• THE SUM OF THE INTERIOR ANGLE MEASURES OF AN N-SIDED CONVEX
POLYGON IS (N-2)*180
EXAMPLES
• FIND THE SUM OF THE MEASURES OF THE INTERIOR ANGLES OF A CONVEX
OCTAGON.
EXAMPLES
• FIND THE SUM OF THE MEASURES OF THE INTERIOR ANGLES OF A CONVEX
OCTAGON.
• OCTAGON = 8 SIDES
• (8 - 2) * 180 = 6 * 180 = 1080
EXAMPLES
• FIND THE MEASURE OF EACH INTERIOR ANGLE OF PENTAGON HJKLM.
EXAMPLES
• FIND THE MEASURE OF EACH INTERIOR ANGLE OF PENTAGON HJKLM.
• (5 - 2) * 180 = 3 * 180 = 540
• 2X + 2X + (3X + 14) + (3X + 14) + 142 = 540
• 10X + 28 + 142 = 540
• 10X = 370
• X = 37
• 74, 74 , 125, 125, 142
EXAMPLES
• THE MEASURE OF AN INTERIOR ANGLE OF A REGULAR POLYGON IS 135. FIND
THE NUMBER OF SIDES IN THE POLYGON.
EXAMPLES
• THE MEASURE OF AN INTERIOR ANGLE OF A REGULAR POLYGON IS 135. FIND
THE NUMBER OF SIDES IN THE POLYGON.
• 135N = (N – 2) * 180
• 135N = 180N – 360
• -45N = -360
• N=8
POLYGON EXTERIOR ANGLE SUM
• THE SUM OF THE EXTERIOR ANGLE MEASURES OF A CONVEX POLYGON IS 360.
PARALLELOGRAMS
• A PARALLELOGRAM IS A QUADRILATERAL WITH BOTH PAIRS OF OPPOSITE
SIDES PARALLEL.
• TO NAME A PARALLELOGRAM, USE THE SYMBOL
.
PROPERTIES OF PARALLELOGRAMS
• IF A QUADRILATERAL IS A PARALLELOGRAM, THEN ITS OPPOSITE SIDES ARE
CONGRUENT.
PROPERTIES OF PARALLELOGRAMS
• IF A QUADRILATERAL IS A PARALLELOGRAM, THEN ITS OPPOSITE ANGLES ARE
CONGRUENT.
PROPERTIES OF PARALLELOGRAMS
• IF A QUADRILATERAL IS A PARALLELOGRAM, THEN ITS CONSECUTIVE ANGLES
ARE SUPPLEMENTARY.
PROPERTIES OF PARALLELOGRAMS
• IF A PARALLELOGRAM HAS ONE RIGHT ANGLE, THEN IT HAS FOUR RIGHT
ANGLES.
DIAGONALS OF PARALLELOGRAMS
• IF A QUADRILATERAL IS A PARALLELOGRAM, THEN ITS DIAGONALS BISECT
EACH OTHER
DIAGONALS OF PARALLELOGRAMS
• IF A QUADRILATERAL IS A PARALLELOGRAM, THEN EACH DIAGONAL SEPARATES
THE PARALLELOGRAM INTO TWO CONGRUENT TRIANGLES.
EXAMPLES
• IF QRST IS A PARALLELOGRAM, FIND THE VALUE OF THE VARIABLES.
EXAMPLES
• X: 5X = 27; X = 27/5 = 5.4
• Y: 2Y - 5 = Y + 4; Y = 9
• Z: 3Z = 33; Z = 11
Related documents