Analyzing Slopes and Triangles

The video tutorial demonstrates how to prove that the points (4,4), (3,5), and (1,1) form a right angle triangle. It involves calculating the slopes of lines AB, BC, and CA, and using the property that the product of the slopes of two perpendicular lines is -1. The tutorial concludes by confirming that the triangle is a right angle triangle.

What is the main objective of the problem discussed in the video?

• To determine the type of triangle based on angles

• To verify if given points form a right angle triangle

• To find the area of a triangle

• To calculate the perimeter of a triangle

Which points are labeled as A, B, and C in the video?

• A: (3, 5), B: (4, 4), C: (1, 1)

• A: (4, 4), B: (3, 5), C: (1, 1)

• A: (1, 1), B: (3, 5), C: (4, 4)

• A: (4, 4), B: (1, 1), C: (3, 5)

What condition must be satisfied for a triangle to be a right angle triangle?

• One angle must be 90 degrees

• The sum of angles must be 180 degrees

• All angles must be less than 90 degrees

• All sides must be equal

What is the formula used to calculate the slope of a line?

• (Y1 + Y2) / (X1 + X2)

• (X2 - X1) / (Y2 - Y1)

• (Y2 - Y1) / (X2 - X1)

• (X1 + X2) / (Y1 + Y2)

What is the slope of line AB?

• 2

• 0

• -1

• 1

What is the slope of line BC?

• 2

• -2

• 1

• -1

What is the slope of line CA?

• 0

• 1

• 2

• -1

What is the product of the slopes of lines AB and CA?

• 1

• 2

• 0

• -1

If the product of the slopes of two lines is -1, what can be inferred about the lines?

• They are identical

• They are parallel

• They are collinear

• They are perpendicular

Which line is perpendicular to line AB in the triangle?

• Line BA

• Line BC

• Line CA

• Line AC