Midterm Review Project

By: [Name Removed]

Triangle Sum Theorem &

Classifying Triangles

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.

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.

Theorems

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

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.

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.

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.

Problem 1What kind of triangle is this?

Problem 2

What kind of triangle is this?

Problem 3

If a triangle has a 90 degree angle, what kind of triangle is it?

Problem 4

If none of the angles are congruent, what kind of triangle is it?

Problem 5

If a triangle has 2 congruent angles, what kind of triangle is it?

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

Example 1

Find x?

60

60 X

Solution: X equals 40

Explanation: If 60+60=120 then X must be 40 degrees.

Example 2

Find

80 60

Solution: Sun equals 40 degrees.

Explanation: If 80+60= 140 then the sun must be 40 degrees.

Problem 1

Find the value of X

50

40X90

Problem 2

Find the Value of Z

80

50 Z

Problem 3

What is the value of C

(c+2)

120

C

Problem 4

Find the value of F

F

45

45

Problem 5

Find the value of A

A

40 30

Solutions

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