Similar Triangles: AA, SAS, SSS

Front

What is the AA criterion for triangle similarity?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the corresponding sides of two triangles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA criterion).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding sides and angles in similar polygons?

Back

In similar polygons, corresponding sides are proportional and corresponding angles are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

Triangles are 'not similar' if their corresponding angles are not equal or their corresponding sides are not proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you identify similar triangles visually?

Back

Look for equal angles or proportional sides; markings on angles can indicate congruence.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of angle markings in triangle similarity?

Back

Angle markings indicate that the angles are congruent, which is essential for determining similarity.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

No, two triangles cannot be similar if only one pair of angles is congruent; at least two pairs must be congruent.

Tags

CCSS.HSG.SRT.A.2

Front

What is the importance of the included angle in the SAS criterion?

Back

The included angle must be congruent for the triangles to be similar under the SAS criterion.

Tags

CCSS.HSG.SRT.B.5