1. Midterm Review Project By: [Name Removed]

2. Triangle Sum Theorem & Classifying Triangles

3. Definitions Classifying: denoting an adjective that describes the class that a head noun belongs to and characterized by not having a comparative or superlative. Example: classifying animals is putting them into different groups. Triangle: A plane with three straight sides and three angles. Sum: the total amount resulting in the addition of two or more amounts or numbers. Example: If you have 5 cookies the total of the cookies is the sum, which is 5.

4. Definitions Cont. Theorem: a general proposition not self evident but proved but proved by a chain of reasoning. Example: Triangle Sum Theorem is a theorem because it is true but can’t be proven. Right Triangle: triangle with angle of 90 degrees Isosceles Triangle: Triangle that has two sides of equal length. Scalene Triangle: Triangle with no equal sides.

5. Theorems Triangle Sum Theorem- The sum of the interior angles of any triangle is equal to 180 degrees.

6. Tips and Instructions Tip for Classifying Triangles: Look at the congruence, and right angle markings, in order to classify what the triangle is. Tip for Triangle Sum Theorem: Always remember that the interior of a triangle will always equal 180 degrees.

7. Example 1- Classifying Triangles What type of triangle is this? Solution: This is an Isosceles Triangle. Explanation: If the triangle has two congruent sides, then the triangle is an Isosceles Triangle.

8. Example 2- Classifying Triangles What type of triangle is this? Solution: This is a right triangle. Explanation: If the triangle has a right angle of 90 degrees, then it is a right Triangle.

9. Problem 1 What kind of triangle is this?

10. Problem 2 What kind of triangle is this?

11. Problem 3 If a triangle has a 90 degree angle, what kind of triangle is it?

12. Problem 4 If none of the angles are congruent, what kind of triangle is it?

13. Problem 5 If a triangle has 2 congruent angles, what kind of triangle is it?

14. Solutions Problem 1: This is a right triangle. Problem 2: This is an equilateral triangle. Problem 3: A right triangle. Problem 4: A Scalene Triangle. Problem 5: An Isosceles triangle

15. Example 1 Find x? 60 X Solution: X equals 40 Explanation: If 60+60=120 then X must be 40 degrees.

16. Example 2 Find 80 60 Solution: Sun equals 40 degrees. Explanation: If 80+60= 140 then the sun must be 40 degrees.

17. Problem 1 Find the value of X 50 40 X 90

18. Problem 2 Find the Value of Z 80 50 Z

19. Problem 3 What is the value of C (c+2) 120 C

20. Problem 4 Find the value of F F 45

21. Problem 5 Find the value of A A 40 30

22. Solutions Problem 1: X = 90 degrees Problem 2: Z = 50 degrees Problem 3: C = 60 degrees Problem 4: F= 90 degrees Problem 5: A= 110 degrees