Unit 4 Flashcard: Similar and Congruent 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 the lengths of their corresponding sides are proportional.

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in shape and size. They can be superimposed on each other.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the ratios of the lengths of their corresponding sides are equal (AA or SSS similarity criteria).

Front

What is the formula for finding the height of an object using proportions?

Back

The height of an object can be found using the formula: (height of object)/(distance from object) = (height of shadow)/(distance from shadow).

Front

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

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which helps establish the similarity of the figures.

Front

What is the significance of the ratios of corresponding sides in similar figures?

Back

The ratios of corresponding sides in similar figures are equal, which confirms that the figures are similar.

Front

How do you solve for an unknown side in similar triangles?

Back

You can solve for an unknown side using the proportion of the lengths of corresponding sides.

Front

What is the relationship between the heights of two similar objects?

Back

The heights of two similar objects are proportional to their corresponding bases or distances.

Front

If two figures are not similar, what can be concluded about their sides?

Back

If two figures are not similar, the ratios of their corresponding sides are not equal.