Triangle Similarity Flashcard

Front

What is triangle similarity?

Back

Triangle similarity means that two triangles have the same shape but may differ in size. This occurs when their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What are the criteria for triangle similarity?

Back

The three main criteria for triangle similarity are: 1) Angle-Angle (AA) Criterion, 2) Side-Angle-Side (SAS) Criterion, and 3) Side-Side-Side (SSS) Criterion.

Tags

CCSS.HSG.SRT.B.5

Front

Explain the Angle-Angle (AA) 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 triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

Explain the Side-Angle-Side (SAS) Criterion for triangle similarity.

Back

The SAS Criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

Explain the Side-Side-Side (SSS) 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for triangles to be 'not similar'?

Back

Triangles are 'not similar' when their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

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.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the AA similarity criterion in triangle similarity?

Back

The AA similarity criterion is significant because it only requires the measurement of two angles to establish similarity, making it a straightforward method for proving triangle similarity.

Tags

CCSS.HSG.SRT.A.2

Front

How can you use proportions to find an unknown side length in similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

The angles of similar triangles are equal; this means that if two triangles are similar, their corresponding angles will have the same measure.

Tags

CCSS.HSG.SRT.A.2