Download Lesson 4-5: Isosceles and Equilateral Triangles

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Geo NOTES
Date: _____
Lesson 4-5: Isosceles and
Equilateral Triangles
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.
Theorem: The bisector of the vertex angle of an isosceles triangle is also the perpendicular
bisector of the base.
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”.
HOMEWORK: Practice Worksheet 4.5
3. Find the value of “z”.
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