Download Triangle

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 TheoremThe 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 1
What 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?
Solution: X equals 40
60
Explanation: If 60+60=120
then X must be 40
degrees.
60
X
Example 2
Find
Solution: Sun equals 40
degrees.
Explanation: If 80+60=
140 then the sun must
be 40 degrees.
80
60
Problem 1
Find the value of X
50
90
X
40
Problem 2
Find the Value of Z
80
50
Z
Problem 3
What is the value of C
120
(c+2)
C
Problem 4
Find the value of F
45
F
45
Problem 5
Find the value of A
A
40
30
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