Classify Triangles Flashcards

Questions and Answers

What is a scalene triangle?

A triangle with no congruent sides (correct)

A triangle with at least two congruent sides

A triangle with one right angle

A triangle with three congruent sides

What is an isosceles triangle?

A triangle with one right angle

A triangle with three acute angles

A triangle with no congruent sides

A triangle with at least two congruent sides (correct)

What is an equilateral triangle?

A triangle with three acute angles

A triangle with no congruent sides

A triangle with three congruent sides (correct)

A triangle with one obtuse angle

What defines an acute triangle?

A triangle with three acute angles Signup and view all the answers

What characterizes an obtuse triangle?

A triangle with one obtuse angle Signup and view all the answers

What is a right triangle?

A triangle with one right angle Signup and view all the answers

What are the classifications of a right-scalene triangle?

Right angle classification and scalene side classification. Signup and view all the answers

What are the classifications of an acute-scalene triangle?

Acute angle classification and scalene side classification. Signup and view all the answers

What are the classifications of an obtuse-scalene triangle?

Obtuse angle classification and scalene side classification. Signup and view all the answers

What are the classifications of a right-isosceles triangle?

Right angle classification and isosceles side classification. Signup and view all the answers

What are the classifications of an acute-isosceles triangle?

Acute angle classification and isosceles side classification. Signup and view all the answers

What are the classifications of an obtuse-isosceles triangle?

Obtuse angle classification and isosceles side classification. Signup and view all the answers

Study Notes

Types of Triangles Based on Sides

Scalene Triangle: Has no sides that are congruent.
Isosceles Triangle: Contains at least two congruent sides.
Equilateral Triangle: All three sides are congruent.

Types of Triangles Based on Angles

Acute Triangle: Contains three acute angles, where each angle is less than 90 degrees.
Obtuse Triangle: Contains one obtuse angle, which is greater than 90 degrees.
Right Triangle: Contains one right angle, exactly 90 degrees.

Combined Classifications

Right-Scalene Triangle: A triangle with one right angle and no congruent sides.
Acute-Scalene Triangle: A triangle with all angles acute and no congruent sides.
Obtuse-Scalene Triangle: A triangle with one obtuse angle and no congruent sides.
Right-Isosceles Triangle: A triangle with one right angle and two congruent sides.
Acute-Isosceles Triangle: A triangle with all angles acute and two congruent sides.
Obtuse-Isosceles Triangle: A triangle with one obtuse angle and two congruent sides.

Key Points

Triangles can be classified based on side lengths and angle measures.
The presence of congruent sides or specific angle types determines the classification of triangles.

Description

Test your knowledge of different types of triangles with these flashcards. Learn about scalene, isosceles, equilateral, acute, and obtuse triangles, and how to classify them based on their sides and angles. Perfect for geometry students!