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Lesson 4.1: Triangle Congruency Speaking in Math • Naming angles on a triangle: • Congruent Sides and Angles: • Ex: For △ABC ≅ △XYZ, ∠A ≅ ∠C ≅ BC ≅ Practice Given: △DEF ≅ △XYZ. ∠E ≅ ∠F ≅ DE ≅ If DE = 5x – 12 and XY = 3x + 8, what is the length of DE? Practice • Name both pairs of congruent angles and sides for the two triangles: A C B D Lesson 4.5 – Isosceles and Equilateral Triangles Triangles by angle • Acute: • Right: • Obtuse: Practice • Classify each triangle by angle. Figures not to scale. 60o 6x – 20 16x 14x + 40 4x 80o Triangles by Side Length • Scalene: • Isosceles: • Equilateral: Isosceles Triangles • Vertex angles: • Base angles: • Ex: Right isosceles triangle. Practice • One angle of an isosceles triangle is 110o. What are the measures of the other two angles? • What is the value of the vertex angle? 8x 5x + 40 Practice • What is the measure of each angle of an equilateral triangle? • Sides of an isosceles triangle. Classwork • Lesson 4.1, #1 – 6 Lesson 4.5, #1 – 5 Homework • Lesson 4.1, #23 – 37 odd • Lesson 4.5, #7 – 19 odd