polygon information
DESCRIPTION
Polygon Information. Triangle Information. Consider this pattern: 30+60+90=180 45+45+90=180 40+50+90=180 10+80+90=180 Based on this, what can you say about the acute angles in a right triangle?. Try it!. Make a conjecture about the angles in an equiangular triangle. Triangle Theorem. - PowerPoint PPT PresentationTRANSCRIPT
Polygon Information
Triangle InformationConsider this pattern: 30+60+90=18045+45+90=18040+50+90=18010+80+90=180 Based on this, what can you say about the acute angles in a right triangle?
Try it! Make a conjecture about the angles
in an equiangular triangle.
Triangle TheoremIf 2 angles of one triangle are congruent to 2 angles of another triangle, then make a conjecture about the 3rd angle.
Congruent Polygons
Polygon Vocabulary
Regular Polygons
Not Regular Polygons
Make a conjecture about regular polygons
Convex Concave
Number of Sides
Name of Polygon
4 Quadrilateral5 Pentagon6 Hexagon7 Heptagon8 Octagon9 Nonagon10 Decagon12 Dodecagonn N-gon
Polygon TheoremsNumber of sides
Number of triangles created by diagonals
Sum of interior angles
Measure of one interior angle
3 14 25678n (____)
FIND THE TREND!Number of sides
Measure of one Interior angle
Measure of one exterior angles
Sum of exterior angles
3 60 1204 905 1086 12010 14420 162n Doesn’t
matter
ExamplesIn ABC, and . Find the .
Based on the figure, write a conjecture about ADB and CBD.
ExamplesWrite a conjecture given the figure below. R is the midpoint of .
ExamplesGiven that the interior angles and exterior angles of a regular polygon are congruent, what is the name of the polygon.