Similarity Review

Front

What does AA similarity mean?

Back

AA similarity means that two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

What is the SSS similarity criterion?

Back

SSS similarity states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

SAS similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, then the triangles are similar.

Front

What is the ASA similarity criterion?

Back

ASA similarity states that if two angles and the included side of one triangle are proportional to two angles and the included side of another triangle, then the triangles are similar.

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using the AA, SSS, or SAS similarity criteria.

Front

If ΔAFG ~ ΔDRH, what can be said about their angles?

Back

If ΔAFG ~ ΔDRH, then the corresponding angles are equal: ∠A = ∠D, ∠F = ∠R, ∠G = ∠H.

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 and/or their sides are not in proportion.

Front

What is the relationship between similar triangles and their areas?

Back

The areas of similar triangles are proportional to the square of the lengths of their corresponding sides.

Front

Can two triangles be similar if only one angle is known?

Back

No, two triangles cannot be determined to be similar with only one angle known; at least two angles or the proportionality of sides must be known.

Front

What is the significance of the hint 'Look for non-labeled parts' in similarity questions?

Back

The hint suggests that you should consider all parts of the triangles, including those that are not explicitly labeled, to find relationships that prove similarity.