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GEOMETRY
10TH GRADE
GEOMETRY
MS. FORTINO
Regular Polygons
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CLICK EACH SHAPE TO
LEARN MORE:
Triangle
Square Pentagon
Hexagon
Heptagon
Octagon
DecagonNonagon
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HEPTAGON
• A HEPTAGON CONSISTS OF:
- SEVEN SIDES
- STRAIGHT SIDES
• STILL A REGULAR POLYGON EVEN THOUGH IT IS NOT AS MUCH TALKED ABOUT
• ALL SIDES AND ANGLES ARE EQUAL
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OCTAGON
• AN OCTAGON IS AN 8 SIDED POLYGON
• AN OCTAGON MUST BE A CLOSED FIGURE
• A REGULAR OCTAGON IS ALWAYS CONVEX
• A REGULAR OCTAGON HAS:
- EXTERIOR ANGLES OF 45 DEGREES
- INTERIOR ANGLES OF 135 DEGREES
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NONAGON
• A NONAGON IS A POLYGON WITH NINE SIDES
• NOT USED FREQUENTLY
• SOMETIMES PEOPLE DO NOT EVEN KNOW THERE IS A POLYGON WITH NINE SIDES
• IF IT IS A REGULAR NONAGON IT WILL ALWAYS BE CONVEX
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DECAGON
• A DECAGON IS A POLYGON WITH 10 SIDES
• ALL THE SIDES MUST BE EQUAL
• ALL THE ANGLES MUST BE EQUAL
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TRIANGLE
• THERE ARE THREE DIFFERENT KINDS OF TRIANGLES!
- ISOSCELES TRIANGLE
- EQUILATERAL TRIANGLE
- SCALENE TRIANGLE
• DEPENDING ON THE ANGLE INSIDE THE TRIANGLE IT CAN ADD TO THE NAME OF THE TRIANGLE!
• REMEMBER A TRIANGLES ANGLES ALWAYS ADD UP TO 180 DEGREES
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SQUARE
• A SQUARE IS A QUADRILATERAL
• THE ANGLES INSIDE A SQUARE MUST ALWAYS ADD UP TO 180 DEGREES!
• A SQUARE IS A VERY SPECIFIC SHAPE IT MUST HAVE:
- ALL EQUAL SIDES
- ALL EQUAL ANGLES
• REMEMBER A SQUARE CAN BE A RECTANGLE BUT I RECTANGLE CAN NEVER BE A SQUARE!
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PENTAGON
• A PENTAGON HAS FIVE STRAIGHT SIDES
• A PENTAGON MUST ALWAYS BE A CLOSED FIGURE
• A REGULAR PENTAGON HAS:
- INTERIOR ANGLES OF 108 DEGREES
- EXTERIOR ANGLES OF 72 DEGREES
• A REGULAR PENTAGON MUST BE CONVEX
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HEXAGON
• A SIX SIDED POLYGON
• ALL STRAIGHT SIDES
• A REGULAR HEXAGON HAS:
- ALL EXTERIOR ANGLES OF 60 DEGREES
- ALL INTERIOR ANGLES OF 120 DEGREES
• IF A HEXAGON IS REGULAR IT IS ALWAYS CONVEX
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QUESTION
CAN A RECTANGLE BE A SQUARE?
A. YES
B. NO
CONGRATULATIONS!!!!!!You learned all about the shapes!
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I AM SORRY
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