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Lesson 4-9: Isosceles and Equilateral Triangles

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1 Lesson 4-9: Isosceles and Equilateral Triangles
Rigor: Use and apply properties of isosceles and equilateral triangles Relevance: Triangle properties are used in architecture, construction, and art.

2 Notes: Isosceles Triangles
Isosceles triangles have at least 2 ≅ sides. Parts: Isosceles Triangle Theorem – If 2 sides of a triangle are congruent, then the angles opposite them are congruent.

3 Notes: Isosceles Triangles continued
The converse is also true! Isosceles Triangle Theorem Converse: If 2 angles of a triangle are congruent, then the opposite sides are also congruent. We will prove both of these theorems later in the chapter using congruent triangles.

4 Example: Which theorem proves the statement is true?
WVS ≅ S 𝑅𝑇 ≅ 𝑆𝑇

5 Equilateral Triangle Theorem
A triangle is equilateral if and only if it is equiangular. AND

6 Examples: Applying the triangle theorems

7 Examples continued: What is CB?

8 4-9 Classwork and Homework
4-9 Classwork: Core book pg 181 #1 - 6 4-9 Homework: Standard: core book pg 183 #3, 4, 6 – 10 Honors: core book pg 183 #3 – 10 Due Thursday for periods 1, 3, 5 Due Friday for periods 2, 4, 7


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