Agenda: 4.1 Notes Exit Slip Work on Supplement Chapter 4 Section 1 Agenda: 4.1 Notes Exit Slip Work on Supplement

Classifications of Triangles BY ANGLES Acute Triangle Equiangular Triangle Obtuse Triangle Right Triangle  

Classifications of Triangles BY ANGLES The sides of ∆ABC are The vertices are points The angles are

Example 1: a. Classify the triangle as acute, equiangular, obtuse, or right.

Example 1: b. Classify the triangle as acute, equiangular, obtuse, or right.

Example 2: Classify ∆XYZ as acute, equiangular, obtuse, or right. Explain your reasoning.

Classifications of Triangles BY SIDES Equilateral Triangle Isosceles Triangle Scalene Triangle  

Example 3: If point Y is the midpoint of VX and WY = 3.0 units, classify ∆VWY as equilateral, isosceles, or scalene. Explain your reasoning.

Example 4: a) Find the measures of the sides of isosceles triangle KLM with base KL

Example 4: b) Find the value of x and the measures of each side of an equilateral triangle ABC if AB = 6y – 2, BC = 7 + x, and AC = 13 – x.

Example 5: The perimeter of ∆BAG is 44. AG = 𝑥 2 +30 , AB = 30 – 14𝑥, BG = 4𝑥 + 5 By solving for x, determine whether ∆BAG is scalene, isosceles, or equilateral.

Example 6: Two sides of an isosceles triangle with perimeter 115 are in the ratio of 2:3. Find all possible lengths for the base.