Exploring the Basics of Similar Triangles

What is the relationship between the angles of triangles ABC and XYZ?

• All corresponding angles are the same.

• Only one pair of corresponding angles is the same.

• All corresponding angles are different.

• None of the angles are the same.

How do the sides of triangle ABC compare to the sides of triangle XYZ?

• They are scaled-down versions of each other.

• They are scaled-up versions of each other.

• They are exactly the same length.

• They are completely different.

What term is used to describe the special relationship between triangles ABC and XYZ?

• Proportionality

• Equivalence

• Similarity

• Congruence

Which of the following is true about similar triangles?

• They can be scaled-up or scaled-down versions of each other.

• They must be identical in size.

• They cannot be rotated or flipped.

• They must have different corresponding angles.

If triangle CDE is congruent to triangle FGH, what can we infer?

• They are similar with a scaling factor of 2.

• They are not related.

• They are similar with a scaling factor of 1.

• They are not similar.

What happens to the corresponding angles in similar triangles?

• They change proportionally.

• They remain equal.

• They become different.

• They are not related.

What must be true for the sides of similar triangles?

• They must be equal in length.

• They must be unrelated.

• They must be scaled by different factors.

• They must be scaled by the same factor.

If the scaling factor between two similar triangles is 3, what does this mean?

• One triangle is three times larger in area.

• One triangle is three times larger in side length.

• One triangle is three times larger in volume.

• One triangle is three times larger in perimeter.

How can the relationship between corresponding sides of similar triangles be expressed?

• As a difference of their lengths.

• As a product of their lengths.

• As a ratio of their lengths.

• As a sum of their lengths.

What does a constant ratio between corresponding sides of triangles indicate?

• The triangles are similar.

• The triangles are unrelated.

• The triangles are identical.

• The triangles are congruent.