Congruence in Right Triangles Geometry 4-6

Right Triangle Congruence So, SSA is a bad congruence. Are there any situations where it would still work? Specifically, is there a given angle where SSA can only construct one triangle? Right Triangle Congruence

Right Triangle Congruence Supplies Spaghetti (two small pieces) Right Triangle Congruence

Right Triangle Congruence On a piece of paper, draw a line and arrange your spaghetti as shown. Long Piece Short Piece Right Triangle Congruence

Right Triangle Congruence Long piece of spaghetti with a constant angle to the line. Keep This angle constant Right Triangle Congruence

Right Triangle Congruence Move the short piece to form two different triangles, this is why SSA is not a good congruence Right Triangle Congruence

Right Triangle Congruence When does it form NO triangles, and more importantly, when does it form ONE triangle Right Triangle Congruence

Right Triangle Congruence No triangles when the short piece does not reach to the line Right Triangle Congruence

Right Triangle Congruence One triangle when the short piece just reaches to the line What must this angle be when it just reaches? Right Triangle Congruence

Right Triangle Congruence At that point, we don’t need the first angle any more, and we still have a SSA triangle, with the right angle. Right Triangle Congruence

Right Triangle Congruence

Right Triangle Congruence

Right Triangle Congruence

Right Triangle Congruence

Right Triangle Congruence

Practice

Practice

Practice

Practice

Practice

Practice

Practice

Practice

Practice

Pages 219 – 223 5 – 8, 11, 19, 20, 39 - 47 Homework

Pages 219 – 223 5 – 8, 11, 19, 20, 32, 39 - 47 Honors Homework