put your 11.1 worksheet ready for a stamp. take out a protractor. what does it mean for polygons...
TRANSCRIPT
Put your 11.1 Worksheet ready for a stamp. Take out a protractor. What does it mean for polygons to be
similar? Find the scale factor from the smaller shape
to the larger shape in the figure above. Give a counterexample to each statement.
(Can be in the form of a picture or explanation.)◦ Two polygons that have corresponding angles
congruent must be similar.
Discover shortcut methods for determining similar triangles
Use proportions to find measures in similar figures
Use problem solving skills
We concluded that you must know about both the angles and the sides of two polygons in order to make a valid conclusion about their similarity.
However, triangles are unique. Remember there were 4 shortcuts for triangle congruence: SSS, SAS, ASA, and SAA.
Are there shortcuts for similarity also?
From the second step in the investigation you see there is no need to check AAA, ASA, or SAA similarity conjectures.
Because of the Triangle Sum Conjecture and the Third Angle Conjecture AA Similarity Conjecture is all you need.
Discover shortcut methods for determining similar triangles
Use proportions to find measures in similar figures
Use problem solving skills
1. Find the missing values.Show your work andExplain your reasoning
2. Write the similarity statement and give a proof of why the triangles are similar.