Triangle Geometry and Slope Concepts

The video tutorial explains the coordinate points of triangle RST and the concept of a perpendicular bisector through RS. It includes a sketch of the triangle on a coordinate plane and demonstrates how to find the point of intersection by calculating the midpoint of RS. The tutorial also covers how to calculate the slopes of RS and AB, highlighting their relationship as negative reciprocals.

What are the coordinate points of triangle RST?

• R(-2, -2), S(2, 2), T(5, -4)

• R(2, 2), S(-2, -2), T(4, 5)

• R(2, -2), S(-2, 2), T(4, 5)

• R(-2, 2), S(2, -2), T(5, 4)

What is the role of AB in relation to RS in triangle RST?

• AB is a tangent to RS

• AB is the hypotenuse of triangle RST

• AB is a perpendicular bisector of RS

• AB is parallel to RS

How can you visualize the triangle RST?

• By drawing a circle

• By plotting the points on a coordinate plane

• By measuring angles with a ruler

• By using a protractor

What is the significance of the point of intersection between AB and RS?

• It is the vertex of the triangle

• It is the center of the triangle

• It is the endpoint of AB

• It is the midpoint of RS

How do you find the midpoint of a line segment?

• By adding the x-coordinates and y-coordinates separately and dividing by 2

• By dividing the x-coordinates and y-coordinates separately

• By multiplying the x-coordinates and y-coordinates separately

• By subtracting the x-coordinates and y-coordinates separately

What is the midpoint of RS?

• (4, 0)

• (-2, -2)

• (2, 2)

• (0, 4)

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

• Y1 - Y2 over X1 - X2

• Y2 - Y1 over X2 - X1

• X1 - X2 over Y1 - Y2

• X2 - X1 over Y2 - Y1

What is the slope of RS?

• 1/2

• -2

• -1/2

• 2

What is the relationship between the slopes of two perpendicular lines?

• They are negative reciprocals of each other

• They are both positive

• They are equal

• They are both zero

If the slope of RS is -2, what is the slope of AB?

• -2

• -1/2

• 2

• 1/2