GEOMETRY

10TH GRADE

GEOMETRY

MS. FORTINO

Regular Polygons

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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

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