Area & Perimeter on Coordinate Plane

Front

What is the formula for calculating the perimeter of a triangle?

Back

The perimeter of a triangle is calculated by adding the lengths of all three sides: P = a + b + c.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated using the formula: P = 2(length + width).

Front

What is the formula for calculating the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

How do you determine the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length * width.

Front

What is the significance of rounding in perimeter and area calculations?

Back

Rounding is important to provide a concise answer, especially when measurements are not whole numbers. It helps in reporting results to a specified degree of accuracy.

Front

What are the coordinates of a point in the coordinate plane?

Back

A point in the coordinate plane is represented by an ordered pair (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

How do you calculate the distance between two points in the coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the area of a triangle formed by three points in the coordinate plane?

Back

The area of a triangle formed by points (x1, y1), (x2, y2), and (x3, y3) can be calculated using the formula: Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|.

Front

What is the relationship between the base and height of a triangle when calculating area?

Back

The base and height of a triangle are perpendicular to each other; the height is the vertical distance from the base to the opposite vertex.

Front

How do you find the height of a triangle given its vertices?

Back

To find the height of a triangle given its vertices, you can use the formula for the area and rearrange it to solve for height: height = (2 * Area) / base.