1. 4.5 Even Answers

2. 4.6 Isosceles Triangles and Right Triangles
Goal 1: How to use properties of isosceles
triangles to solve problems
Goal 2: How to use properties of right triangles
to solve problems in geometry
In lesson 4.1, you learned that if an
isosceles triangle has exactly two
Congruent sides, then these sides
are the legs of the triangle, and the
noncongruent side is the base. The
two angles that have the base as
one side are the base angles.
Leg
Leg
Base
angles
Base

3. 4.6 Isosceles Triangles and Right Triangles
Base Angles THM
If two sides of a triangle are congruent ,
then the angles opposite them are congruent. C N H
Statements
Reasons Y
QED

4. 4.6 Isosceles Triangles and Right Triangles
If two angles of a triangle are congruent,
then the sides opposite them are congruent.

5. 4.6 Isosceles Triangles and Right Triangles
If a triangle is equilateral,
then it is also equiangular.

6. 4.6 Isosceles Triangles and Right Triangles
If a triangle is equiangular,
then it is also equilateral.

9. 4.6 Isosceles Triangles and Right Triangles
HL Congruence THM
If the hypotenuse and leg of one right triangle
are congruent to the hypotenuse and leg of a 2nd
right triangle, then the two triangles are congruent.

11. 4.6 Isosceles Triangles and Right Triangles

12. 4.6 Even Answers