Geometry Concepts and Formulas

The video tutorial covers the calculation of areas for various geometric shapes, including rectangles, squares, triangles, circles, trapezoids, parallelograms, rhombuses, and kites. It introduces the concept of apothem and central angles in regular polygons and demonstrates how to use these to calculate areas. The tutorial also explains how to find the area of composite figures using trigonometry and highlights the importance of understanding 30-60-90 and 45-45-90 triangle rules.

What is the formula for the area of a trapezoid?

• Length times width

• Side squared

• Base one plus base two divided by two times height

• Base times height

How do you calculate the central angle of a regular polygon?

• 360 divided by the number of sides

• 180 divided by the number of sides

• 360 times the number of sides

• 180 times the number of sides

What is the apothem of a regular polygon?

• The distance from the center to a vertex

• The distance from the center to the midpoint of a side

• The angle between two sides

• The length of a side

Which triangle rule is used to find the apothem in a hexagon?

• 30-60-90 rule

• 45-45-90 rule

• Sine rule

• Pythagorean theorem

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CCSS.8.G.B.8

In a 30-60-90 triangle, what is the relationship between the hypotenuse and the shorter leg?

• The hypotenuse is twice the shorter leg

• The hypotenuse is equal to the shorter leg

• The hypotenuse is half the shorter leg

• The hypotenuse is three times the shorter leg

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CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

What is the central angle of an equilateral triangle?

• 90 degrees

• 180 degrees

• 60 degrees

• 120 degrees

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CCSS.6.G.A.1

How do you find the area of a regular hexagon using the apothem?

• Base times height

• Perimeter times apothem divided by two

• Side squared

• Length times width

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CCSS.HSG.SRT.C.8

Which trigonometric function is used to find the apothem in a pentagon?

• Sine

• Tangent

• Cosine

• Secant

Tags

CCSS.6.G.A.1

What is the formula for the area of a kite?

• Base times height

• Diagonal one times diagonal two divided by two

• Length times width

• Side squared

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CCSS.3.MD.C.7D

How do you find the area of a composite figure?

• Add the areas of individual shapes

• Multiply the areas of individual shapes

• Subtract the areas of individual shapes

• Divide the areas of individual shapes

Tags

CCSS.3.MD.C.7D