1. 4.1 Classifying Triangles
Unit 2 Chapter 4

2. Sides, Vertices, and Angles

3. Triangle Classifications by Angles

4. Example 1
A) Classify the triangle as acute, equilangular, obtuse, or right.

5. Example 1
B) Classify the triangle as acute, equilangular, obtuse, or right.

6. Example 1
C) The frame of this window design is made up of many triangles.
1) Classify ∆ACD.
2) Classify ∆ADE.

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

8. Classifications of Triangles by Sides
To indicate that sides of a triangle are congruent, an equal number of hash marks are drawn on the corresponding sides.

9. Example 3 The triangle truss shown is modeled for steel construction.
Classify ∆JMN, ∆JKO, and ∆OLN as equilateral, isosceles, or scalene.

10. Example 4 If point Y is the midpoint of VX and WY = 3.0 units,
classify ∆VWY as equilateral, isosceles, or scalene. Explain your reasoning.

11. Example 5
A) Find the measures of the sides of isosceles triangle KLM with base KL

12. Example 5
B) Find the value of x and the measures of each side of an equilateral triangle ABC if AB = 6x – 8, BC = 7 + x, and AC = 13 – x.

13. Foldable time!
Use your notes to fill out the foldable. You may use markers, colored pencils, whatever you would like!