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Discover properties of isosceles triangles, including congruency rules for sides and angles. Explore equilateral triangles and their unique features. Learn about isosceles triangle parts like vertex angle, legs, and base. Uncover the connection between perpendicular bisectors and triangle properties. Enjoy some math jokes along the way!
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The Isosceles Triangles Theorems Section 4-6
Isosceles Triangle Theorem • If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent. 8 8 50 50
Theorem 4-10 • If 2 angles of a triangle are congruent, then the sides opposite those angles are congruent.
Corollaries 4.3 and 4.4 • A triangle is equilateral if and only if it is equiangular. • Each angle of an equilateral triangle measures 60 degrees. 60 12 12 60 60 12
Parts of an Isosceles Triangle vertex angle leg leg base base angles
The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.
Joke Time Who was the first math student? Add-em
Why isn’t your nose 12 inches long? • Because then it would be a foot