Presentation on theme: "Triangles Report by Jennifer Johnson. What is a Triangle? A polygon Three sides Three angles."— Presentation transcript:
Triangles Report by Jennifer Johnson
What is a Triangle? A polygon Three sides Three angles
Types of Triangles By Sides Scalene Isosceles Equilateral By Angles Acute Obtuse Right
Scalene A triangle with no sides congruent.
Isosceles A triangle with at least 2 congruent sides
Equilateral A triangle with all sides congruent
Acute A triangle with all acute angles
Obtuse A triangle with one obtuse angle
Right A triangle with one right angle
Special Theorems The sum of the angles of a triangle equals 180 degrees. If a triangle is an isosceles triangle, then the angles opposites the congruent sides are congruent. If a triangle is an obtuse triangle, then the side opposite the obtuse angle is the longest side of the triangle.
More Theorems If a triangle is an equilateral triangle, the all angles of the triangle are congruent and equal 60 degrees. The two acute angles of a right triangle are complementary.
Prove: The two acute angles of a right triangle are complementary 1. ABC is a triangle,