Angle-Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

Angle-Angle (AA) Similarity is a criterion for determining if two triangles are similar. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two pairs of equal angles, what can we conclude about them?

Back

The triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the sum of the angles in a triangle?

Back

180 degrees.

Tags

CCSS.8.G.A.5

Front

If angle A = 63° and angle B = 88°, what is angle C?

Back

Angle C = 29° (since 180° - 63° - 88° = 29°).

Tags

CCSS.8.G.A.5

Front

Are triangles with angles 30°, 60°, and 90° similar to triangles with angles 60°, 30°, and 90°?

Back

Yes, they are similar because they have the same angle measures.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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 40°, 60°, and 80°, which of the following triangles are similar? Triangle B (40°, 60°, 80°), Triangle C (30°, 60°, 90°), Triangle D (80°, 40°, 60°)

Back

Triangles A and B are similar; Triangle D is also similar because it has the same angles.

Tags

CCSS.HSG.SRT.A.2

Front

Can two triangles be similar if they have one pair of equal angles?

Back

No, two triangles must have at least two pairs of equal angles to be similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of the 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 lengths 3, 4, and 5, and triangle B has sides of lengths 6, 8, and 10, are they similar?

Back

Yes, they are similar because the sides are in proportion (3:6, 4:8, 5:10).

Tags

CCSS.HSG.SRT.A.2