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 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 and the lengths of their corresponding sides are proportional.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If two triangles are similar, what can be said about their areas?

Back

The areas of two similar triangles are in the ratio of the square of their corresponding side lengths.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

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

Back

The sides of the similar triangle would measure 6 cm, 8 cm, and 10 cm.

Front

What is the formula to find the height of an object using a mirror?

Back

Height of the object = (Distance to the mirror) x (Height of the reflection) / (Distance from the observer to the mirror).

Front

If two triangles have sides in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3²:5², which is 9:25.

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means that their corresponding angles are not equal or the ratios of their corresponding sides are not proportional.