Podcast
Questions and Answers
An isosceles triangle is always an _________ triangle.
An isosceles triangle is always an _________ triangle.
equilateral
Why are those 2 triangles equal?
Why are those 2 triangles equal?
An equilateral triangle has at least 2 congruent sides, which makes it also an isosceles.
If a triangle is ________, then it is an isosceles triangle.
If a triangle is ________, then it is an isosceles triangle.
equilateral
What are the congruent sides called in an isosceles triangle?
What are the congruent sides called in an isosceles triangle?
Signup and view all the answers
What is the non-congruent side called in an isosceles triangle?
What is the non-congruent side called in an isosceles triangle?
Signup and view all the answers
What is the angle called that is the common endpoint of the congruent sides in an isosceles triangle?
What is the angle called that is the common endpoint of the congruent sides in an isosceles triangle?
Signup and view all the answers
What are the congruent angles called in an isosceles triangle?
What are the congruent angles called in an isosceles triangle?
Signup and view all the answers
Equilateral triangles are equiangular.
Equilateral triangles are equiangular.
Signup and view all the answers
Each angle of an equilateral triangle equals how many degrees?
Each angle of an equilateral triangle equals how many degrees?
Signup and view all the answers
The measures of the angles in an equilateral triangle are congruent.
The measures of the angles in an equilateral triangle are congruent.
Signup and view all the answers
What is an isosceles triangle?
What is an isosceles triangle?
Signup and view all the answers
If a triangle has 2 congruent sides, then the angles opposite those sides are also congruent.
If a triangle has 2 congruent sides, then the angles opposite those sides are also congruent.
Signup and view all the answers
If a triangle has 2 congruent angles, the sides opposite those angles are also congruent.
If a triangle has 2 congruent angles, the sides opposite those angles are also congruent.
Signup and view all the answers
Study Notes
Isosceles and Equilateral Triangles Overview
- An isosceles triangle has at least two congruent sides, while an equilateral triangle has all three sides congruent.
- All equilateral triangles are isosceles, but not all isosceles triangles are equilateral.
Congruent Sides and Angles
- In an isosceles triangle, the two equal sides are referred to as legs, and the side opposite them is called the base.
- The common angle at the endpoint of the legs is known as the vertex angle.
- The angles adjacent to the base are called base angles and are also congruent.
Equilateral Triangle Theorems
- Equilateral triangles are also equiangular, meaning all three angles are equal.
- Each angle in an equilateral triangle measures 60 degrees.
- The principle that equiangular triangles are equilateral establishes a strong relationship between angles and sides in triangle properties.
Angle and Congruency Relations
- The measures of the angles in an equilateral triangle are equal, reinforcing the equiangular property.
- The Isosceles Triangle Theorem (ITT) asserts that if a triangle has two congruent sides, then the angles opposite those sides must also be congruent.
- The Converse of the Isosceles Triangle Theorem states that if a triangle has two congruent angles, the sides opposite those angles are congruent as well, illustrating a fundamental property of triangles.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on the properties of isosceles and equilateral triangles with these flashcards. Understand the definitions and relationships between these two types of triangles through engaging questions and answers.
