Triangle Types and Distance Formula

The video tutorial explains how to classify triangles in the coordinate plane as equilateral, isosceles, or scalene by calculating the side lengths using the distance formula. It begins with a review of triangle properties and congruency, followed by step-by-step calculations of side lengths for a given triangle. The tutorial concludes by determining the type of triangle based on the calculated side lengths, ultimately identifying it as a scalene triangle due to all sides having different lengths.

What type of triangle has all three sides of equal length?

• Scalene

• Right

• Isosceles

• Equilateral

Which type of triangle has no sides of equal length?

• Equilateral

• Right

• Scalene

• Isosceles

What is the first step in using the distance formula to find the length of a side?

• Divide the coordinates

• Multiply the coordinates

• Subtract the coordinates

• Add the coordinates

What is the length of side XY if the coordinates are (1, 2) and (5, 8)?

• Square root of 52

• Square root of 13

• Square root of 65

• Square root of 25

What is the result of squaring a negative number?

• It remains negative

• It becomes positive

• It becomes zero

• It becomes imaginary

What is the length of side YZ if the coordinates are (5, 8) and (8, 6)?

• Square root of 13

• Square root of 52

• Square root of 65

• Square root of 25

If two sides of a triangle are not equal, what type of triangle can it not be?

• Scalene

• Right

• Equilateral

• Isosceles

What is the length of side XZ if the coordinates are (1, 2) and (8, 6)?

• Square root of 25

• Square root of 65

• Square root of 13

• Square root of 52

What type of triangle is formed if all sides have different lengths?

• Isosceles

• Scalene

• Equilateral

• Right

Which operation is performed after subtracting the coordinates in the distance formula?

• Addition

• Multiplication

• Squaring

• Division