Similar Shapes and Scale Drawings 7.5C

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or a space that is proportionally reduced or enlarged to fit on paper, maintaining the same shape and proportions as the original.

Front

What is the scale factor?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much larger or smaller one figure is compared to another.

Front

If two triangles are similar, what can we say about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what are the dimensions of a similar rectangle with a scale factor of 2?

Back

The dimensions of the similar rectangle would be 20 cm (length) and 10 cm (width).

Front

What does it mean for sides to be proportional in similar figures?

Back

Sides are proportional in similar figures when the ratios of the lengths of corresponding sides are equal.

Front

How do you find the height of a similar figure if you know the height of the original figure and the scale factor?

Back

To find the height of a similar figure, multiply the height of the original figure by the scale factor.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the scale factor.

Front

If a door is 210 cm tall and a window is similar to the door with a scale factor of 0.5, what is the height of the window?

Back

The height of the window would be 105 cm (210 cm x 0.5).

Front

What is a congruent angle?

Back

A congruent angle is an angle that has the same measure as another angle.