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Properties of Isosceles Triangles

Properties of Isosceles Triangles. Isosceles Triangle – at least two sides have the same length. 5. 5. 5. 9 in. 9 in. 3 miles. 3 miles. 8 miles. 4 in. equilateral triangle – isosceles triangle with all three sides are congruent. 7 ft. 7 ft. 7 ft.

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Properties of Isosceles Triangles

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  1. Properties of Isosceles Triangles

  2. Isosceles Triangle – at least two sides have the same length 5 5 5 9 in 9 in 3 miles 3 miles 8 miles 4 in

  3. equilateral triangle – isosceles triangle with all three sides are congruent 7 ft 7 ft 7 ft

  4. vertex angle – between two  sides Parts of Isosceles Triangle:

  5. base angles – angles opposite  sides Parts of Isosceles Triangle:

  6. base – side opposite vertex Parts of Isosceles Triangle:

  7. Name each part of the isosceles triangle below. vertex angle

  8. Name each part of the isosceles triangle below. base

  9. Name each part of the isosceles triangle below. base angles

  10. Isosceles Triangle Thm. base angles are congruent If a triangle is isosceles, then _______________________.

  11. If a triangle has two congruent angles, it is an isosceles triangle. Converse of Isosceles Triangle Theorem:

  12. Equilateral Triangle Thm. An equilateral triangle is equiangular and an equiangular triangle is equilateral.

  13. ma = mb= b 68 Find the missing angle measures. 44 68 a

  14. mc = md= 30.5 Find the missing angle measures. 30.5 119 c d

  15. me = mf = mg = 60 Find the missing angle measures. e 60 60 f g

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