Similar Figures

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 the ratios of their corresponding sides are proportional.

Front

What is the significance of corresponding angles in similar figures?

Back

In similar figures, all pairs of corresponding angles are congruent (equal in measure). This is a key property that helps determine if two figures are similar.

Front

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

Back

Proportional sides mean that the ratios of the lengths of corresponding sides of similar figures are equal.

Front

How do you find the height of an object using proportions?

Back

To find the height of an object using proportions, set up a ratio comparing the height of the object to a known height, and solve for the unknown height.

Front

If two triangles are similar, what can you say about their side lengths?

Back

If two triangles are similar, the lengths of their corresponding sides are in proportion.

Front

What is the formula for finding the missing side in similar figures?

Back

The formula for finding the missing side in similar figures is: (length of side 1 / length of side 2) = (length of missing side / corresponding side).

Front

How can you determine if two figures are similar?

Back

To determine if two figures are similar, check if all pairs of corresponding angles are equal and if the ratios of corresponding sides are equal.

Front

What is an example of similar figures in real life?

Back

An example of similar figures in real life is a small model of a building and the actual building. They have the same shape but different sizes.

Front

What is the relationship between the scale factor and similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure is enlarged or reduced compared to the other.

Front

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

Back

The lengths of the sides of the similar triangle would be 6, 8, and 10.