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3.5/3.6 Overlapping Triangles & Types of Triangles

I can use overlapping triangles in proofs. I can name the various types of triangles and their parts. 3.5/3.6 Overlapping Triangles & Types of Triangles. Day 5. Example 1. Given: ∠OTR≅∠HRT, Prove: . N. H. O. R. T. Classifying Triangles by angles.

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3.5/3.6 Overlapping Triangles & Types of Triangles

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  1. I can use overlapping triangles in proofs. I can name the various types of triangles and their parts. 3.5/3.6 Overlapping Triangles & Types of Triangles Day 5

  2. Example 1 • Given: ∠OTR≅∠HRT, • Prove: N H O R T

  3. Classifying Triangles by angles • Acute triangle – a triangle with 3 acute angles • Right triangle – a triangle with one right angle • Obtuse triangle – a triangle with one obtuse angle

  4. Parts of a right triangle hypoteneuse leg leg

  5. Naming Triangles by Sides Scalene triangle – a triangle with no congruent sides Isosceles triangle – a triangle with at least two congruent sides Equilateral triangle – a triangle with all sides congruent (for triangles we can also call this equiangular)

  6. Parts of an isosceles triangle vertex angle leg leg base angle base angle base

  7. Example 3 • Classify the following triangle as scalene, isosceles, or equilateral if the perimeter is 45. 4x+3 15 7x-6

  8. Example 4 • Given: altitude to , bisects ∠RGP • Prove: △GRP is isosceles G R P I

  9. Always, Sometimes, Never • A right triangle is isosceles. • An isosceles triangle is equilateral. • An equilateral triangle is isosceles. • A scalene triangle is isosceles. • An equilateral triangle is equiangular. • A right triangle has two right angles.

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