6-5: Isosceles and Equilateral Triangles - Chino Valley Unified School ...

[Pages:2]6-5: Isosceles and Equilateral Triangles

Legs of an isosceles triangle: the two congruent sides of an isosceles triangle Vertex angle: the angle with sides that are the legs Base: the side of the triangle opposite the vertex angle Base angles: the two angles formed by the base and the congruent sides

Isosceles Triangle Theorem

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Converse of Isosceles Triangle Theorem

If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Equilateral Triangle Theorems:

? A triangle is equilateral if and only if it is equiangular.

? Each angle of an equilateral triangle measures 60?.

Refer to the figure at the right to answer each of the following questions. 1. If $$$$ $$$$, name two congruent angles.

2. If $$$$ $$$$, name two congruent angles.

3. If SRT STR, name two congruent segments.

4. If STV SVT, name two congruent segments.

Find each measure. 5. mKML

6. mHMG

7. mGHM

8. If mHJM = 145?, find mMHJ.

9. If mG = 67?, find mGHM.

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download