Perimeter and Area on the Coordinate Plane

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( A = \frac{1}{2} \times base \times height \).

Front

How do you calculate the perimeter of a polygon?

Back

The perimeter of a polygon is calculated by adding the lengths of all its sides.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: \( A = length \times width \).

Front

What is the difference between area and perimeter?

Back

Area measures the space inside a shape, while perimeter measures the distance around a shape.

Front

How do you find the area of a triangle given its vertices on a coordinate plane?

Back

Use the formula: \( A = \frac{1}{2} | x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) | \) for vertices \((x_1, y_1), (x_2, y_2), (x_3, y_3)\).

Front

What is the area of a triangle with a base of 10 units and a height of 5 units?

Back

Using the formula \( A = \frac{1}{2} \times base \times height \), the area is \( A = \frac{1}{2} \times 10 \times 5 = 25 \) square units.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid is given by the formula: \( A = \frac{1}{2} \times (base_1 + base_2) \times height \).

Front

How do you find the area of a figure on a coordinate plane?

Back

Divide the figure into known shapes (triangles, rectangles) and calculate the area of each, then sum them up.

Front

What is the area of a triangle formed by the points (0,0), (4,0), and (0,3)?

Back

Using the formula, the area is \( A = \frac{1}{2} \times 4 \times 3 = 6 \) square units.

Front

What is the perimeter of a rectangle with length 8 units and width 3 units?

Back

The perimeter is calculated as \( P = 2 \times (length + width) = 2 \times (8 + 3) = 22 \) units.