Triangle Properties and Relationships

The video tutorial explains how to classify triangles using coordinate geometry. It covers the use of the distance formula and Pythagorean theorem to determine side lengths and angles. The tutorial also discusses how to use slopes to identify right triangles and differentiate between isosceles and scalene triangles. The focus is on understanding the properties of triangles and applying mathematical formulas to classify them accurately.

What are the two main criteria for classifying triangles?

• Color and size

• Perimeter and area

• Angles and sides

• Height and base

What is the characteristic of an isosceles triangle?

• It has a right angle

• All angles are equal

• Two sides are equal

• All sides are equal

Which formula can be used to find the length of a side in a right triangle?

• Area formula

• Pythagorean theorem

• Slope formula

• Volume formula

What is the result of applying the distance formula to find the length of a side?

• The perimeter of the triangle

• The length of a side

• The length of the hypotenuse

• The area of the triangle

How can you determine if two lines are perpendicular?

• They have the same slope

• They are parallel

• Their slopes are negative reciprocals

• They intersect at a 45-degree angle

Which triangle type is determined by having a 90-degree angle?

• Obtuse

• Acute

• Scalene

• Right

What is the slope of a line that rises 3 units and runs 4 units?

• 3/4

• 4/3

• 1/2

• 2/1

What type of triangle has all sides of different lengths?

• Equilateral

• Isosceles

• Right

• Scalene

What is the square root of 125 approximately?

• 12.360

• 10.500

• 11.180

• 13.000

What is the ratio of the sides in a 3-4-5 triangle?

• 3:4:5

• 5:12:13

• 1:1:1

• 2:3:4