Download presentation

1
**Report by Jennifer Johnson**

Triangles Report by Jennifer Johnson

2
What is a Triangle? A polygon Three sides Three angles

3
**Types of Triangles By Sides By Angles Scalene Isosceles Equilateral**

Acute Obtuse Right

4
**A triangle with no sides congruent.**

Scalene A triangle with no sides congruent.

5
**A triangle with at least 2 congruent sides**

Isosceles A triangle with at least 2 congruent sides

6
**A triangle with all sides congruent**

Equilateral A triangle with all sides congruent

7
**A triangle with all acute angles**

8
**A triangle with one obtuse angle**

9
**A triangle with one right angle**

10
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.

11
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.

12
**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.

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google