Similar Triangles Proofs

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 in proportion.

Front

What does AA ~ mean in triangle similarity?

Back

AA ~ means 'Angle-Angle Similarity'. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS ~ mean in triangle similarity?

Back

SSS ~ means 'Side-Side-Side Similarity'. If the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS ~ mean in triangle similarity?

Back

SAS ~ means 'Side-Angle-Side Similarity'. If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the first step in proving triangles are similar?

Back

Identify the criteria for similarity: AA, SSS, or SAS.

Front

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

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Front

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

Back

Measure the lengths of the corresponding sides and check if the ratios are equal.

Front

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

Back

Measure two sides of one triangle and two sides of another triangle, and check if the ratios are equal while ensuring the included angles are equal.

Front

What is a proportional relationship in similar triangles?

Back

The ratio of the lengths of corresponding sides of similar triangles is constant.

Front

What is the significance of the 'Given' statement in triangle proofs?

Back

The 'Given' statement provides the initial information or conditions that are accepted as true for the proof.