Presentation is loading. Please wait. # Report by Jennifer Johnson

## Presentation on theme: "Report by Jennifer Johnson"— Presentation transcript:

Report by Jennifer Johnson
Triangles Report by Jennifer Johnson

What is a Triangle? A polygon Three sides Three angles

Types of Triangles By Sides By Angles Scalene Isosceles Equilateral
Acute Obtuse Right

A triangle with no sides congruent.
Scalene A triangle with no sides congruent.

A triangle with at least 2 congruent sides
Isosceles A triangle with at least 2 congruent sides

A triangle with all sides congruent
Equilateral A triangle with all sides congruent

A triangle with all acute angles

A triangle with one obtuse angle

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
B Given: ABC, <A is a right angle C A Statements Reasons 1. ABC is a triangle, <A is a right angle. 2. If <A is a right angle, then it’s measure = 90  3. m<A + m<B + m<C = 180 . 4. 90+ m<B + m<C = 180  5. m<B +m<C = 90  6. <B and <C are complementary 1. Given 2. All right angles equal 90  3. The sum of the angles of a triangle equal 180  4. Substitution from step 2 into step 3 5. Subtraction property 6. If the sum of the measures of two angles equals 90  , then the angles are complementary.

Download ppt "Report by Jennifer Johnson"

Similar presentations

Ads by Google