Exploring Angle-Angle-Side Triangle Similarity

What does angle-angle similarity imply about two triangles?

• They have the same area.

• They have the same perimeter.

• They have two corresponding angles that are congruent.

• They have the same side lengths.

If two triangles have angles 70°, 70°, and 40°, what can be said about them?

• They are congruent.

• They are similar.

• They are not similar.

• They are right triangles.

How do you determine if two triangles are similar using their angles?

• Check if one angle is 90°.

• Check if two corresponding angles are congruent.

• Check if all angles are equal.

• Check if the sum of angles is 180°.

If triangle ABC is similar to triangle EDC, and angle A is 60°, what is angle E?

• 60°

• 120°

• 30°

• 90°

Given that X + 2X = 180°, what is the value of X?

• 60°

• 30°

• 45°

• 90°

If 3Y = 84°, what is the value of Y?

• 42°

• 56°

• 28°

• 21°

What is the sum of the interior angles of a triangle?

• 270°

• 90°

• 180°

• 360°

If a triangle has angles 46°, 54°, and 80°, is it similar to another triangle with the same angles?

• Yes, because the sum of angles is 180°.

• No, because one angle is not 90°.

• No, because the side lengths are different.

• Yes, because all corresponding angles are congruent.

In a triangle, if one angle is X + 105° and the other two angles sum to 75°, what is X?

• 45°

• 30°

• 60°

• 75°

If two angles in a triangle are 2X and 4/3X, what is the value of X?

• 45°

• 30°

• 75°

• 60°