Introducing 

Prezi AI.

Your new presentation assistant.

Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.

Loading content…
Loading…
Transcript

Triangle and Quadrilateral Sums

Examples 2

Definitions

Quadrilaterals:

An example of a quadrilateral is a regular square.

<--- Right there we have a regular square. All the angles and sides would be equal to each other and all the angles would be right angles. Since a right angle is 90 degrees and there are 4 angles in a quadrilateral..... 90x4=360 degrees.

Characteristics

Triangle:

-Always has 3 vertices/ 3 sides (closed)

-The base is any side of the triangle, usually the -unequal side in a isosceles triangle

-The height is always perpendicular to the base

-Area = bxh/2

-Sum of interior angles= 180 degrees

-Always 2D

Quadrilateral:

- Always a closed 4 sided figure

-Sum of interior angels = 360 degrees

-Always 2D

Triangle- A polygon that consists of 3 closed sides

Quadrilateral- A four sided figure

Sum of triangle's interior angles = 180 degrees

Sum of quadrilateral interior angles = 360 degrees

Sum = Total amount resulting in the addition of two or more numbers

You are required to know these definitions order to continue or else you would not get a full understanding of my topic

Non- Examples

Some non-examples are open shapes. Open shapes are shapes that are not closed. Another term for this is a incomplete shape. These shapes are non-examples because their angles do not add up to 180 degrees nor 360 degrees. They are also not polygons. Therefore, in no way are open shapes related to triangle or quadrilateral sums.

<--- Figures in A are open shapes.

Examples

Real life Examples/ Applications

Triangle:

Here, we have a equilateral triangle and all the angles are 60 degrees. 3x60=180 degrees

A real life example is Construction. Construction is used as a realistic example because if you're constructing a house, the roof would most likely be in a triangular shape. Knowing the sum of the interior angles in the triangle, it helps the construction be more symmetrical and accurate. The frame/ body of a modern house is most likely a cubic shape. Therefore, the house must consist of 90 degree angles. Knowing that the sum of a quadrilateral's interior angles is 360 degrees, it helps the building be symmetrical as well as stable. This is

In a isosceles triangle, the angle at vertex would be less than the 2 angles at the base. Let's say Vertex Angle = 20 degrees and Lower Angles =80 degrees

80x2+20=180 degrees

<---As you can see in this image, the pillars around the frame is perpendicular to the base causing a 90 degree angle. Each face of the frame would be 360 degrees. On the roof, the front and back of the house are triangles. The triangles must be exact to support the two rectangular sides of the roof and to know that the angles add up to 180 degrees is vital because that means the weight of the rectangular sides are evenly distributed.

A scalene triangle has three uneven sides meaning 3 unequal angles . Let's say the angles are 100, 50 and 30.

100+50+30=180 degrees

Learn more about creating dynamic, engaging presentations with Prezi