Similar Figures and Proportions A

Front

What are similar figures?

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 proportional.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

How do you find the length of a shadow using proportions?

Back

To find the length of a shadow, set up a proportion comparing the height of the object to the length of its shadow, and solve for the unknown shadow length.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If a tree is 40 ft tall and casts a shadow of 12 ft, what is the ratio of the tree's height to its shadow?

Back

The ratio is 40:12, which simplifies to 10:3.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if their corresponding angles are also equal, they are similar.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same size and shape, meaning all corresponding sides and angles are equal.

Front

How can you determine if two houses are similar based on their blueprints?

Back

You can determine if two houses are similar by checking if their corresponding dimensions are proportional.

Front

What is the significance of corresponding sides in similar figures?

Back

Corresponding sides in similar figures are proportional, meaning the ratio of their lengths is constant.