4-6 Isosceles and Equilateral Triangles

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Presentation transcript:

4-6 Isosceles and Equilateral Triangles Ms. Andrejko

Real World

Vocabulary Legs- the two congruent sides of an isosceles triangle Vertex Angles- the angle with sides that are the legs Base Angles- the two angles formed by the base and the congruent sides

Theorems/Corollaries T 4.10- If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent T 4.11- if 2 angles of a triangle are congruent then the sides opposite those angles are congruent C 4.3- A triangle is equilateral if and only if it is equiangular C 4.4- Each angle of an equilateral triangle measures 60°.

Examples

Practice

Examples Refer to the figure 1. If AC ≅ AD, name two congruent angles. 2. If BE ≅ BC, name two congruent angles.

Practice Refer to the figure 3. If ∠EBA ≅ ∠EAB, name two congruent segments. 4. If ∠CED ≅ ∠CDE, name two congruent segments.

Example/Practice 1. m∠KML 2. m∠HMG 3. m∠GHM 4. If m∠HJM = 145, find m∠MHJ. 5. If m∠G = 67, find m∠GHM.

Example

Practice

Mixed Review 110 70 30

Mixed Review 50 12. AAS or ASA

Mixed Review 20 90 40