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# Isosceles Triangles

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### Isosceles Triangles

1. 1. ISOSCELES-RIGHT<br />ISOSCELES-ACUTE<br />ISOSCELES-OBTUSE<br />EQUILATERAL-EQUIANGULAR<br />
2. 2. ISOSCELES <br />TRIANGLES<br />
3. 3. Parts of an Isosceles Triangle<br />The congruent sides of an isosceles triangle are the legs.<br />The third side is the base.<br />The two congruent sides form the vertex angle.<br />The other two angles are the base angles.<br />vertex angle<br />leg<br />leg<br />base angles<br />base<br />
4. 4. pg 161 <br />The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base.<br /> If AC BC and CD<br /> bisects ACB, then<br /> CD┴AB and CD<br /> bisects AB.<br />C<br />A<br />B<br />
5. 5. CONVERSE OF ISOSCELES TRIANGLE THEOREM<br /> pg 161 <br />If two angles of a triangle are congruent, then the sides opposite the angles are congruent.<br />If A B, <br /> then AC BC. <br />C<br />A<br />B<br />
6. 6. pg 160 <br /><ul><li>If a triangle is equilateral, then it is equiangular.
7. 7. If a triangle is equiangular, then it is equilateral.</li></li></ul><li>Find the values of x and y.<br />C<br />xo<br />yo<br />63o<br />A<br />B<br />
8. 8. Find the values of x and y.<br />xo<br />3.<br />1.<br />yo<br />yo<br />110o<br />60o<br />60o<br />4.<br />2.<br />xo<br />xo<br />y<br />7<br />44o<br />44o<br />52o<br />10<br />y<br />4<br />
9. 9. Solve for x.<br />x<br />2x-5<br />Perimeter is 20.<br />
10. 10. Solve for x.<br />xo<br />
11. 11. Solve for x.<br />B<br />D<br />xo<br />A<br />C<br />AD and CD are angle bisectors.<br />