similar triangles solving (no overlap)

Front

What are similar triangles?

Back

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 Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

How do you find the length of a side in similar triangles?

Back

Use the proportion of the lengths of corresponding sides. If triangle A and triangle B are similar, then A1/A2 = B1/B2, where A1 and A2 are sides of triangle A and B1 and B2 are corresponding sides of triangle B.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of their areas?

Back

The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides. Here, (4/8)² = 1/4.

Front

What is a scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles. It indicates how much larger or smaller one triangle is compared to the other.

Front

If the scale factor of two similar triangles is 3:5, what does this mean?

Back

It means that for every 3 units of length in the smaller triangle, there are 5 units of length in the larger triangle.

Front

How can you determine if two triangles are similar using their side lengths?

Back

Calculate the ratios of the lengths of corresponding sides. If all ratios are equal, the triangles are similar.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.