Triangle Classification and Slope Relationships

The video tutorial explains how to classify triangles on a coordinate plane by using the distance formula to determine side lengths and slopes to identify right angles. It covers different types of triangles, including scalene, isosceles, equilateral, and right triangles. The tutorial also discusses how to use slopes to determine if lines are perpendicular, indicating a right triangle. The video concludes with a summary and a preview of future lessons on obtuse and acute triangles.

What is the defining characteristic of an isosceles triangle?

• All sides are different lengths.

• All sides are of equal length.

• All angles are 90 degrees.

• Two sides are of equal length.

Which type of triangle has no sides of the same length?

• Right

• Equilateral

• Isosceles

• Scalene

What is the angle measure of a right triangle?

• More than 90 degrees

• 180 degrees

• Exactly 90 degrees

• Less than 90 degrees

What formula is used to determine the length of sides in a triangle on a coordinate plane?

• Distance formula

• Area formula

• Slope formula

• Pythagorean theorem

How do you classify a triangle as scalene?

• All sides are equal

• It has a 90-degree angle

• All sides are different

• Two sides are equal

What is the first step in using the distance formula?

• Multiply the coordinates

• Subtract the y-coordinates

• Subtract the x-coordinates

• Add the coordinates

What is the result of calculating the distance between points A and B?

• Radical 45

• Radical 50

• Radical 36

• Radical 9

What is the slope of a line that is perpendicular to another line with a slope of 1/2?

• -2

• 1/2

• 2

• -1/2

How do you determine if two lines are perpendicular?

• Their slopes are both negative

• Their slopes are equal

• Their slopes are negative reciprocals

• Their slopes are both positive

What type of triangle is formed if two lines are perpendicular?

• Scalene

• Isosceles

• Equilateral

• Right