Unit 4 Similar Triangles: Proportions & Similar Polygons

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

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

Back

In similar figures, the lengths of corresponding sides maintain a constant ratio, meaning that if one side of a triangle is twice as long as the corresponding side of another triangle, all other corresponding sides will also be twice as long.

Front

How do you find the similarity ratio of two polygons?

Back

To find the similarity ratio of two polygons, divide the lengths of corresponding sides of the polygons. The ratio should be expressed in simplest form.

Front

What is the similarity ratio for the smaller polygon to the bigger polygon if the sides are 3 cm and 5 cm?

Back

The similarity ratio is 3 : 5.

Front

Back

x = 2.

Front

What is the similarity ratio for the smaller polygon to the bigger polygon if the sides are 5 cm and 6 cm?

Back

The similarity ratio is 5 : 6.

Front

Back

x = -7.25.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

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

Back

The areas of two similar triangles are proportional to the square of the lengths of their corresponding sides.

Front

What is the formula for the area of a triangle?

Back