Download 4-‐5 Isosceles and Equilateral Triangles

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4-­‐5 Isosceles and Equilateral Triangles Objec&ve: use and apply proper&es of isosceles triangles What is an Isosceles Triangle? •  Isosceles triangle: A triangle with at least two congruent sides •  Legs: The congruent sides of an isosceles triangle •  Base: The “other” side not coun&ng as the two congruent sides •  Vertex angle: The angle included by the two congruent sides •  Base angles: The Angles that include the Base Ex 1: Solve for Variable Solve for each variable. a) b) Ex 1B: Solve for Variable c) d) Ex 1C: Solve for Variable e) Try These f)
h) g) Ex 2: Apply Concepts Triangle RST is an isosceles triangle. •  R is the vertex angle, RS = x + 7, ST = x – 1, and RT = 3x – 5. •  Find x, RS, ST, and RT. Terminology Reminders •  Equilateral triangle: triangle whose sides are all congruent •  Postulate (axiom): accepted statement of fact •  Theorem: conjecture that is proven New term •  Corollary: statement that follows directly from a theorem Example 2: Solve for each variable. a) b) Try these. c) d)
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