Download Triangles (part 4)

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Golden ratio wikipedia , lookup

Multilateration wikipedia , lookup

Reuleaux triangle wikipedia , lookup

Rational trigonometry wikipedia , lookup

Trigonometric functions wikipedia , lookup

Euler angles wikipedia , lookup

History of trigonometry wikipedia , lookup

Euclidean geometry wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Integer triangle wikipedia , lookup

Transcript
Triangles (part 4)
Isosceles Triangles
Legs of an isosceles triangle—the two congruent sides of an isosceles triangle that has only two congruent sides
Base—the noncongruent side of an isosceles triangle that has only two congruent sides
base
leg
leg
Isosceles Triangles
Base angles—the two angles adjacent to the base and opposite the legs of an isosceles triangle
Vertex angle—the angle formed by the legs and opposite the base of an isosceles triangle.
leg
vertex
angle
leg
base angles
base
1
Triangles (part 4)
Base Angles Theorem
If two sides of a triangle are congruent, then the angles opposite the sides are congruent.
B
C
A
Converse of the Base Angles Theorem
If two angles of a triangle are congruent, then the sides opposite the angles are congruent.
B
A
C
2
Triangles (part 4)
Corollary to the Base Angles Theorem
If a triangle is equilateral, then it is equiangular.
Corollary to the Converse of the Base Angles Theorem
If a triangle is equiangular, then it is equilateral.
equilateral + equiangular = regular
Find the values of x and y.
44°
4y°
3