Polygon Analysis

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Presentation Description

Describes how to identify triangles and quadrilaterals based on the slope and length of their sides.

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Polygon Analysis : 

Polygon Analysis Coordinate Geometry

Parallel Lines : 

Parallel Lines Parallel lines have the same slope. 1 set  Trapezoid 2 sets  Parallelogram

Example : 

Example Quadrilateral ABCD has the following slopes Is it a parallelogram, trapezoid, or neither? Parallelogram

Example : 

Example Quadrilateral ABCD has the following slopes Is it a parallelogram, trapezoid, or neither? Trapezoid

Perpendicular Lines : 

Perpendicular Lines Perpendicular lines have opposite inverse slopes. Example: All sides perpendicular  Rectangle

Example : 

Example Quadrilateral ABCD has the following slopes Is it a rectangle? Yes

Example : 

Example Quadrilateral ABCD has the following slopes Is it a rectangle? No

Length of Sides : 

Length of Sides Use the distance formula All same length  Rhombus

Example : 

Example Quadrilateral ABCD has the following side lengths Is it a rhombus? No

Example : 

Example Triangle PQR has the following side lengths What type of triangle is it? Scalene

Putting it all together : 

Putting it all together

Putting it all together : 

Putting it all together Quadrilateral ABCD has the following info What is it? Trapezoid

Putting it all together : 

Putting it all together Quadrilateral ABCD has the following info What is it? Square

Triangles too : 

Triangles too Triangle ABC has the following info What is it? Right Scalene Triangle