Similarity Flashcard

Front

What is the scale factor of two similar polygons if Polygon A has a side length of 2 ft and Polygon B has a side length of 8 ft?

Back

1:4

Front

Define similarity in the context of geometric shapes.

Back

Two shapes are similar if they have the same shape but different sizes.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

What is the relationship between the lengths of corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

How do you find the height of an object using similar triangles?

Back

You can set up a proportion using the heights and shadow lengths of the objects.

Front

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

Back

6 cm, 8 cm, and 10 cm.

Front

What is the formula for the area of similar figures in relation to their scale factor?

Back

The area ratio of two similar figures is the square of the scale factor.

Front

If two similar triangles have a scale factor of 3:5, what is the ratio of their areas?

Back

9:25.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size.

Front

In a problem involving similar triangles, if one triangle has a height of 10 m and a base of 5 m, and the other triangle has a base of 15 m, what is the height of the second triangle?

Back

30 m.