3.1 Quick Check Review-Math 7

Front

What is the formula for finding the area of a rectangle?

Back

Area = length × width.

Front

How do you find the missing length of a triangle when given the other two sides?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What does a scale factor of 1/4 indicate in a geometric transformation?

Back

It indicates that the new figure is 1/4 the size of the original figure.

Front

How do you convert a percentage to a decimal?

Back

Divide the percentage by 100.

Front

What is the relationship between scale models and real-life dimensions?

Back

Scale models are proportional representations of real-life objects, using a specific ratio.

Front

If a model is built at a scale of 1 inch to 20 feet, how do you find the height of the model if the real object is 100 feet tall?

Back

Height of model = (Height of real object) / (Scale factor) = 100 feet / 20 = 5 inches.

Front

What is the definition of a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity.

Front

How do you find the height of a scale model if the real height is known?

Back

Use the formula: Height of model = (Real height) × (Scale factor).

Front

What is the formula for finding the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Front

What is the significance of a scale factor greater than 1?

Back

It indicates an enlargement of the figure.