325 Classifying Triangles Ang-Sides, Solving Tri (pg 52-67)

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on sides?

Back

1. Equilateral: All sides are equal. 2. Isosceles: Two sides are equal. 3. Scalene: All sides are different.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60°.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths and all three angles are different.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How do you classify triangles based on angles?

Back

1. Acute: All angles are less than 90°. 2. Right: One angle is exactly 90°. 3. Obtuse: One angle is greater than 90°.

Front

What is the sum of the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180°.

Front

How do you find the measure of a missing angle in a triangle?

Back

To find a missing angle, subtract the sum of the known angles from 180°.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².