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Lesson 4-6 Isosceles Triangles
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Ohio Content Standards:
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Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.
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Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two- dimensional figures and three- dimensional objects.
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Ohio Content Standards: Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.
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Ohio Content Standards: Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof.
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Vertex Angle
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Angle formed by the congruent sides in an isosceles triangle.
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Vertex Angle Angle formed by the congruent sides in an isosceles triangle. Vertex Angle leg base
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Base Angles
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The two angles formed by the base and one of the congruent sides.
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Base Angles The two angles formed by the base and one of the congruent sides. Base Angles leg base
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Theorem 4.9 Isosceles Triangle Theorem
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If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
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A B C D E
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Theorem 4.10
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If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
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L P Name two congruent angles. M N
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L P Name two congruent segments. M N
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Corollary 4.3
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A triangle is equilateral if it is equiangular.
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Corollary 4.4
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Each angle of an equilateral triangle measures 60°.
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E H FG J
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E H FG J
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E H FG J
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Assignment: Pgs. 219-221 10-14 evens, 15-28 all, 44-46 evens
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