S2 Area and Perimeter of Compound Shapes

Front

What is the formula for the area of a triangle?

Back

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

Tags

CCSS.6.G.A.1

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter of a rectangle is given by the formula: \( P = 2 \times (length + width) \).

Tags

CCSS.4.MD.A.3

Front

How do you find the area of a compound shape?

Back

To find the area of a compound shape, divide it into simpler shapes (like rectangles and triangles), calculate the area of each, and then sum them up.

Tags

CCSS.3.MD.C.7D

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape. For example, a scale factor of \( \frac{1}{2} \) reduces the size of the shape by half.

Tags

CCSS.8.G.A.3

Front

What are coordinates in a Cartesian plane?

Back

Coordinates are a set of values that show an exact position. In a 2D Cartesian plane, they are represented as (x, y).

Tags

CCSS.5.G.A.1

Front

What is the area of a rectangle with length 5 units and width 3 units?

Back

The area is \( A = length \times width = 5 \times 3 = 15 \) square units.

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Front

What is the relationship between the area and perimeter of a shape?

Back

Area measures the space inside a shape, while perimeter measures the distance around it. They are related but represent different properties.

Front

How do you calculate the area of a trapezoid?

Back

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

Tags

CCSS.6.G.A.1

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula: \( A = \pi r^2 \), where \( r \) is the radius.

Tags

CCSS.7.G.B.4

Front

What is the significance of similar shapes in geometry?

Back

Similar shapes have the same shape but different sizes. Their corresponding sides are in proportion, and their areas are in the ratio of the square of the scale factor.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6