Similar Triangles

Front

What are similar triangles?

Back

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

Front

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

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 4 cm, what is the length of the corresponding side in triangle B if the ratio of similarity is 2:1?

Back

2 cm.

Front

What is the Angle-Angle (AA) similarity criterion for triangles?

Back

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

Front

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

Back

By creating a proportion using the lengths of corresponding sides from a smaller triangle (formed by a shadow or a measurement) and the larger triangle (the object itself).

Front

If two triangles have sides of lengths 3 cm, 4 cm, and 5 cm, and another triangle has sides of lengths 6 cm, 8 cm, and 10 cm, are they similar?

Back

Yes, because the sides are in proportion (1:2).

Front

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

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of similarity?

Back

The ratio of similarity is 6:9 or 2:3.

Front

What is the purpose of using similar triangles in real-life applications?

Back

To solve problems involving heights and distances that are difficult to measure directly.

Front

If the height of a tree is represented as 80 feet in a similar triangle problem, what does this height represent?

Back

It represents the actual height of the tree based on the proportional relationships established by similar triangles.