4-6 isosceles and equilateral triangles
DESCRIPTION
4-6 Isosceles and Equilateral Triangles. Ms. Andrejko. Real World. Vocabulary. Legs- the two congruent sides of an isosceles triangle Vertex Angles- the angle with sides that are the legs Base Angles- the two angles formed by the base and the congruent sides. Theorems/Corollaries. - PowerPoint PPT PresentationTRANSCRIPT
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4-6 Isosceles and Equilateral TrianglesMs. Andrejko
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Real World
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Vocabulary
•Legs- the two congruent sides of an isosceles triangle
•Vertex Angles- the angle with sides that are the legs
•Base Angles- the two angles formed by the base and the congruent sides
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Theorems/Corollaries
•T 4.10- If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent
•T 4.11- if 2 angles of a triangle are congruent then the sides opposite those angles are congruent
•C 4.3- A triangle is equilateral if and only if it is equiangular
•C 4.4- Each angle of an equilateral triangle measures 60°.
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Examples
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Practice
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Examples
Refer to the figure•1. If AC ≅ AD, name two congruent
angles.
•2. If BE ≅ BC, name two congruent angles.
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Practice
Refer to the figure•3. If ∠EBA ≅ ∠EAB, name two congruent
segments.
•4. If ∠CED ≅ ∠CDE, name two congruent segments.
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Example/Practice1. m∠KML
2. m∠HMG
3. m∠GHM
4. If m∠HJM = 145, find m∠MHJ.
5. If m∠G = 67, find m∠GHM.
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Example
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Practice
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Mixed Review
110
70
30
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Mixed Review
12.
50
AAS or ASA
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Mixed Review
20
90
40