Angle-Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

Angle-Angle 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 AA similarity?

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

Triangles are similar if 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° and 60°, what are the angles of a similar triangle?

Back

The similar triangle will also have angles of 30° and 60°.

Tags

CCSS.HSG.SRT.A.2

Front

Can two triangles with one angle equal and the other two angles different be similar?

Back

No, for triangles to be similar, all corresponding angles must be equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A has angles of 45°, 45°, and 90°, what are the angles of triangle B if it is similar?

Back

Triangle B will also have angles of 45°, 45°, and 90°.

Tags

CCSS.HSG.SRT.A.2

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 is similar, what could be the lengths of triangle B's sides?

Back

Triangle B's sides could be 6 cm, 8 cm, and 10 cm (scaled by a factor of 2).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of the AA similarity postulate in geometry?

Back

The AA similarity postulate allows us to conclude that two triangles are similar based solely on the equality of two angles.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A has angles of 70° and 40°, what is the measure of the third angle?

Back

The third angle is 70° (since the sum of angles in a triangle is 180°).

Tags

CCSS.8.G.A.5