Day 75: Scale Drawings & Similar Figures

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper, using a specific ratio to represent actual dimensions.

Front

What does the term 'similar figures' mean?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How do you calculate the actual distance using a map scale?

Back

To calculate the actual distance, multiply the distance on the map by the scale factor. For example, if the scale is 1 in:100 mi and the distance on the map is 1 3/4 inches, the actual distance is 1.75 * 100 = 175 miles.

Front

If two triangles are similar, how can you find the length of a missing side?

Back

You can find the length of a missing side by setting up a proportion between the corresponding sides of the triangles and solving for the unknown length.

Front

What is the scale factor in a model?

Back

The scale factor is the ratio of a length in the model to the corresponding length in the actual object. For example, a scale of 5 in:25 ft means 5 inches in the model represents 25 feet in reality.

Front

How do you convert model measurements to actual measurements?

Back

To convert model measurements to actual measurements, multiply the model measurement by the scale factor. For example, if a window in the model is 1.5 in wide and the scale is 5 in:25 ft, the actual width is 1.5 * (25/5) = 7.5 ft.

Front

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

Back

Scale drawings maintain the same proportions as real-life dimensions, allowing for accurate representation of size and shape, even if the drawing is smaller or larger.

Front

How do you find the actual dimensions from a scale drawing?

Back

To find the actual dimensions, multiply each dimension in the scale drawing by the scale factor. For example, if a drawing measures 9cm x 10cm and the scale is 6cm=12ft, the actual dimensions are (9cm * 2) ft x (10cm * 2) ft = 18ft x 20ft.

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal. It is often used to solve problems involving similar figures.

Front

How can you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.