Similar Shapes and Scale Drawings

Front

What are similar shapes?

Back

Shapes that have the same shape but different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is a scale drawing?

Back

A drawing that represents an object or area at a specific ratio to its actual size, allowing for accurate representation of dimensions.

Front

How do you find a missing side measurement using proportions?

Back

Set up a proportion comparing the sides of similar shapes, then cross-multiply and solve for the missing value.

Front

If a map scale is 1 cm:50 km, what does this mean?

Back

It means that 1 centimeter on the map represents 50 kilometers in reality.

Front

What is the formula for finding the actual distance using a scale?

Back

Actual Distance = Map Distance × Scale Factor.

Front

How do you determine the scale of a blueprint?

Back

Divide the actual measurement by the measurement on the blueprint to find the scale ratio.

Front

What is the relationship between the height of an object and the length of its shadow in similar triangles?

Back

The ratio of the height of the object to the length of its shadow is constant for similar triangles.

Front

If a tree is 72 feet tall and casts a 12-foot shadow, what is the height of a tree that casts a 5-foot shadow?

Back

30 feet, using the proportion of heights to shadows.

Front

What does it mean for two shapes to be proportional?

Back

It means that the ratios of their corresponding sides are equal.

Front

How can you use proportions to solve real-world problems?

Back

By setting up a proportion based on known measurements and solving for unknown values.