AA, SSS, SAS triangle similarity

Front

What does the Side-Angle-Side Similarity (SAS ~) Theorem state?

Back

If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the condition for triangles to be similar according to the Side-Side-Side Similarity (SSS ~) Theorem?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included angle in the SAS similarity theorem?

Back

The included angle is the angle formed between the two sides being compared; it must be congruent for the triangles to be similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using the SSS theorem?

Back

By checking if the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

Front

What does it mean for sides to be proportional?

Back

Sides are proportional if the ratios of their lengths are equal.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

Can two triangles be similar if only one pair of angles is congruent?

Back

No, at least two pairs of angles must be congruent for the triangles to be similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is a similarity statement?

Back

A similarity statement expresses that two triangles are similar, often written as ΔABC ~ ΔDEF.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are congruent.

Tags

CCSS.HSG.SRT.A.2