Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the relationship between two triangles that have the same shape but may differ in size. This means their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the AA (Angle-Angle) Criterion for Triangle Similarity?

Back

The AA Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

Front

What is the SSS (Side-Side-Side) Criterion for Triangle Similarity?

Back

The SSS Criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS (Side-Angle-Side) Criterion for Triangle Similarity?

Back

The SAS Criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you determine if two triangles are similar using proportions?

Back

To determine if two triangles are similar using proportions, compare the lengths of corresponding sides. If the ratios of the lengths of the sides are equal, the triangles are similar.

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

If ∠U ≅ ∠F, what can be inferred about triangles that include these angles?

Back

If ∠U ≅ ∠F, then the triangles that include these angles may be similar if other conditions (like the AA criterion) are also satisfied.

Front

What is the significance of corresponding angles in triangle similarity?

Back

Corresponding angles in triangle similarity are crucial because if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

How can you use the properties of similar triangles to find unknown side lengths?

Back

You can use the properties of similar triangles by setting up a proportion between the lengths of corresponding sides to solve for unknown lengths.

Front

What is a real-world application of triangle similarity?

Back

A real-world application of triangle similarity is in architecture, where similar triangles can be used to create scale models of buildings.