Understanding the Area of a Triangle in a Coordinate Plane

This video tutorial explains how to find the area of a triangle on a coordinate plane. It begins with a review of the area formula for triangles, highlighting its relation to rectangles. The tutorial then guides viewers through calculating the base and height using the x-axis, followed by applying the area formula. Finally, it provides a visual demonstration to reinforce the concept that a triangle's area is half that of a rectangle.

What is the relationship between the area of a rectangle and a triangle?

• A triangle is one-third the area of a rectangle.

• A triangle is the same area as a rectangle.

• A triangle is half the area of a rectangle.

• A triangle is twice the area of a rectangle.

Which formula represents the area of a triangle?

• Length times width

• Base times height

• Base times height divided by 2

• Base plus height

How do you determine the base of a triangle on a coordinate plane?

• By adding the x-coordinates of two points

• By measuring the distance between two points on the y-axis

• By subtracting the x-coordinates of two points and taking the absolute value

• By measuring the distance between two points on the z-axis

What is the base of the triangle if the x-coordinates are -4 and 4?

• 4

• 0

• 16

• 8

How do you find the height of a triangle on a coordinate plane?

• By measuring the distance between two points on the z-axis

• By subtracting the y-coordinates of two points and taking the absolute value

• By measuring the distance between two points on the x-axis

• By adding the y-coordinates of two points

What is the height of the triangle if the y-coordinates are 3 and -3?

• 9

• 6

• 0

• 3

What is the area of a triangle with a base of 8 and a height of 6?

• 12 square units

• 36 square units

• 48 square units

• 24 square units

How can you visually verify the area of a triangle on a coordinate plane?

• By measuring its perimeter

• By drawing a circle around it

• By drawing a line through its center

• By counting the full and partial squares it covers

What is the total area of the triangle in the example given in the video?

• 18 square units

• 24 square units

• 30 square units

• 12 square units

What geometric shape can a triangle be related to in terms of area calculation?

• Circle

• Square

• Rectangle

• Pentagon