Triangle Properties and Classifications

The video explains how triangles are categorized based on their sides and angles. Triangles can be scalene, isosceles, or equilateral based on side lengths, and acute, right, or obtuse based on angles. It also discusses how triangles can belong to multiple categories, such as a right scalene triangle or an equilateral acute triangle.

What are the two main criteria for classifying triangles?

• By the perimeter and area

• By the color and size

• By the number of sides and vertices

• By the length of sides and measure of angles

Which type of triangle has no equal sides?

• Equilateral

• Isosceles

• Right

• Scalene

In an isosceles triangle, how many sides are equal?

• Exactly one side

• No sides

• At least two sides

• All three sides

What is a unique feature of an equilateral triangle?

• It has one right angle

• All sides are of different lengths

• It has one obtuse angle

• All sides are equal

How is an equilateral triangle related to an isosceles triangle?

• It is a type of right triangle

• It is a type of scalene triangle

• It is not related at all

• It is a special case of an isosceles triangle

What defines an acute triangle?

• All angles are equal

• All angles are less than 90 degrees

• It has one right angle

• It has one obtuse angle

Which triangle has one angle exactly 90 degrees?

• Obtuse triangle

• Equilateral triangle

• Right triangle

• Acute triangle

What is a characteristic of an obtuse triangle?

• All angles are less than 90 degrees

• It has one angle greater than 90 degrees

• It has all equal sides

• It has one right angle

Can a triangle be both right and scalene?

• Only if it is isosceles

• Only if it is equilateral

• Yes, it can

• No, it cannot

What is true about all equilateral triangles?

• They are also scalene

• They are also acute

• They are also right

• They are also obtuse