Monday, November 18, 2013

11/18/13

Homework: Ch. 4.1 page 181 #21-29 all.

Lots of big things approach, young padawans. On December 19, you have a test! From this point on, each quiz you have could drop the score of a previous, lower quiz score. (Your five highest scores will go on your grade.)

Notes for today:

Triangle classification by angles (see drawing one):
 - If an angle in a triangle is greater than 90 degrees, it's an obtuse triangle.
 - If an angle in a triangle is exactly 90 degrees, it's a right angle triangle, or normal triangle.
 - If all three angles of a triangle are less than 90 degrees, it's an acute triangle.
 Note: α = Alpha, β = Beta, γ = Gamma, δ = Delta

Triangle classification by sides (see drawing two):
 - Equilateral triangles have equal sides and all angles measure 60 degrees.
 - Isosceles triangles have two equal sides and two equal angles.
 - Scalene triangles have no equal sides and no equal angles.
Note: All equilateral triangles are also isosceles triangles, but not all isosceles triangles are equilateral triangles. Like rectangles and squares!

With congruent triangles, all sides and all angles must have the same measure.
With similar triangles, all angles must have the same measure, and the proportions of the sides must be the same.

A dilation makes a shape bigger.
A contraction makes it smaller.

ALL parabolas are similar! Just so you know.

AA (Angle Angle) is not something you can use to prove congruency.

In-class proof (see drawing #3)












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