Similarity & Proportions

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 is the scale factor in similar figures?

Back

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

Front

If two triangles are similar, how do you find a missing side length?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between the angles of similar polygons?

Back

In similar polygons, corresponding angles are equal.

Front

How do you express the scale factor of a smaller figure to a larger figure?

Back

The scale factor of a smaller figure to a larger figure is expressed as a ratio of the lengths of corresponding sides, written as 'smaller : larger'.

Front

If triangle A is similar to triangle B and the length of a side in triangle A is 6 and the corresponding side in triangle B is 12, what is the scale factor?

Back

The scale factor from triangle A to triangle B is 1 : 2.

Front

What is the formula for finding the area ratio of two similar figures?

Back

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

Front

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

Back

The ratio of their areas is (3^2) : (5^2) = 9 : 25.

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the significance of corresponding sides in similar figures?

Back

Corresponding sides in similar figures maintain the same ratio, which is essential for establishing similarity.