Angle Angle Similarity

Can two triangles be similar if they have one angle equal and the other two angles are different?

• Yes, they can be similar.

• No, they cannot be similar.

• They can be similar if the sides are proportional.

• It depends on the size of the triangles.

What is the sum of the angles in a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

Are triangles with angles of 45 degrees, 45 degrees, and 90 degrees similar to triangles with angles of 30 degrees, 60 degrees, and 90 degrees?

• Yes, they are similar.

• No, they are not similar.

• They are similar only in certain conditions.

• They cannot be compared.

What is the importance of Angle-Angle similarity in geometry?

• It helps in solving problems related to triangle similarity and proportionality.

• It is used to calculate the area of circles.

• It determines the length of the sides of a triangle.

• It is a method for finding the angles in a polygon.

What is Angle-Angle (AA) Similarity?

• A method to calculate the area of a triangle.

• 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.

• A theorem stating that all triangles are congruent if they have one angle equal.

• A rule that states the sum of angles in a triangle is always 180 degrees.

What does it mean for two shapes to be similar?

• Same shape, but different size.

• Same size, but different shape.

• Different shapes and sizes.

• Identical in every way.

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

• Yes, they are similar because the sides are in proportion.

• No, they are not similar because the angles are different.

• Yes, they are similar because they have the same area.

• No, they are not similar because one triangle is larger than the other.

If triangle A is similar to triangle B, and the length of a side in triangle A is 4 cm, what can be said about the corresponding side in triangle B?

• The length of the corresponding side in triangle B can be found using the ratio of similarity.

• The corresponding side in triangle B is also 4 cm.

• The corresponding side in triangle B is longer than 4 cm.

• The corresponding side in triangle B cannot be determined.

If triangle A has angles of 70 degrees, 40 degrees, and 70 degrees, what can be said about triangle B with angles of 70 degrees, 40 degrees, and 70 degrees?

• Triangle B is similar to triangle A.

• Triangle B is larger than triangle A.

• Triangle B is a right triangle.

• Triangle B has different angles than triangle A.

What is the AA similarity postulate?

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

• If the sides of one triangle are proportional to the sides of another triangle, then the triangles are similar.

• If two sides of one triangle are equal to two sides of another triangle, then the triangles are congruent.

• If the angles of a triangle sum up to 180 degrees, then the triangle is valid.