Triangle Properties and Classification

The video tutorial teaches how to classify triangles using points on a coordinate plane. It begins with an introduction to the concept, followed by an example of identifying a scalene right triangle. The tutorial then presents a more complex example, demonstrating the use of slopes and the Pythagorean theorem to analyze triangle types. The video concludes with advice on practicing these techniques.

What is the first step in classifying triangles on a coordinate plane?

• Calculate the area of the triangle

• Determine the angles of the triangle

• Sketch the points on the plane

• Find the midpoint of each side

How do you determine the length of a vertical or horizontal side of a triangle on a coordinate plane?

• Calculate the slope

• Use the midpoint formula

• Count the number of boxes

• Use the distance formula

Which theorem is used to find the length of the hypotenuse in a right triangle?

• Cosine rule

• Tangent rule

• Sine rule

• Pythagorean theorem

What type of triangle has all sides of different lengths?

• Equilateral

• Isosceles

• Scalene

• Right

How can you confirm a triangle is a right triangle using its sides?

• Check if all sides are equal

• Check if the sum of angles is 180 degrees

• Check for a 90-degree angle using horizontal and vertical lines

• Check if two sides are equal

What is the first step in analyzing a more complex triangle example?

• Determine the angles

• Find the centroid

• Sketch the points

• Calculate the area

How do you calculate the side lengths of a triangle with no vertical or horizontal lines?

• Use the Pythagorean theorem for each side

• Calculate the slope

• Use the distance formula

• Use the midpoint formula

What is the simplified form of the square root of 40?

• 4√5

• 5√2

• 2√10

• √20

What type of triangle is formed if all side lengths are different?

• Right

• Scalene

• Equilateral

• Isosceles

How can you determine if a triangle is a right triangle using slopes?

• Check if one slope is zero

• Check if two slopes are negative reciprocals

• Check if all slopes are equal

• Check if all slopes are positive