Similar Shapes and Scale Drawings 7.5C

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 a space at a specific ratio to its actual size.

Front

How do you determine if two shapes are similar?

Back

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

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

If the perimeter of a shape is known, how can you find a missing side length?

Back

You can subtract the sum of the known side lengths from the total perimeter to find the missing side length.

Front

What is the formula for finding the scale factor between two similar shapes?

Back

Scale Factor = Length of a side in the new shape / Length of the corresponding side in the original shape.

Front

What is the relationship between the areas of two similar shapes?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the corresponding sides of a similar triangle with a scale factor of 2?

Back

The corresponding sides would be 6, 8, and 10.

Front

What is the importance of using proportions in similar shapes?

Back

Proportions help to compare the lengths of corresponding sides of similar shapes to find unknown lengths.

Front

How can you use cross-multiplication with proportions?

Back

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other to find unknown values.