lesson 4-5: isosceles and triangles · 2016. 8. 4. · equilateral isosceles triangle: at least two...

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Geo NOTES Date: _____ Isosceles Triangle: at least two congruent sides (legs), and two congruent angles (base angles) Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Converse of Isosceles Triangle Theorem: If two angles of a triangle are congruent, then the sides opposite the angles are congruent. Lesson 4-5: Isosceles and Equilateral Triangles

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Page 1: Lesson 4-5: Isosceles and Triangles · 2016. 8. 4. · Equilateral Isosceles Triangle: at least two congruent sides (legs), and two congruent angles ... Lesson 4-5: Isosceles and

Geo NOTES Date: _____

Isosceles Triangle: at least two congruent sides (legs), and two congruent angles (base angles)

Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite

those sides are also congruent.

Converse of Isosceles Triangle Theorem: If two angles of a triangle are congruent, then the

sides opposite the angles are congruent.

Lesson 4-5: Isosceles and Equilateral Triangles

Page 2: Lesson 4-5: Isosceles and Triangles · 2016. 8. 4. · Equilateral Isosceles Triangle: at least two congruent sides (legs), and two congruent angles ... Lesson 4-5: Isosceles and

Theorem: The bisector of the vertex angle of an isosceles triangle is also the perpendicular

bisector of the base.

Page 3: Lesson 4-5: Isosceles and Triangles · 2016. 8. 4. · Equilateral Isosceles Triangle: at least two congruent sides (legs), and two congruent angles ... Lesson 4-5: Isosceles and

Page 4: Lesson 4-5: Isosceles and Triangles · 2016. 8. 4. · Equilateral Isosceles Triangle: at least two congruent sides (legs), and two congruent angles ... Lesson 4-5: Isosceles and

If a triangle is equilateral, it is equiangular. (and vice-versa)

1. The perimeter is 54 feet. Find the value of “x” & “y”, and the length of each side.

2. Find the value of “t”. 3. Find the value of “z”.

HOMEWORK: Practice Worksheet 4.5

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