Angle-Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

Angle-Angle (AA) Similarity 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

How can you determine if two triangles are similar using angles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for triangles to be similar?

Back

Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle A has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles of a similar triangle would also be 30°, 60°, and 90°.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle A has sides of 3 cm, 4 cm, and 5 cm, and triangle B has sides of 6 cm, 8 cm, and 10 cm, are they similar?

Back

Yes, triangle A and triangle B are similar because the sides are in proportion (1:2).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) Postulate?

Back

The AA Postulate 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

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

Back

No, you need at least two angles to determine similarity using the AA criterion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the third angle in similar triangles?

Back

If two angles are known, the third angle is automatically determined, making the triangles similar.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A has angles of 45° and 45°, what can you say about triangle B with angles of 45° and 90°?

Back

Triangle A and triangle B are not similar because they do not have the same angles.

Tags

CCSS.HSG.SRT.A.2