Proving Triangle Similarity

What is required for two triangles to be similar under the Angle-Angle (AA) similarity criterion?

• Two corresponding sides are proportional

• All angles must be congruent

• All sides must be proportional

• Two corresponding angles are congruent

Which similarity criterion involves checking if two corresponding angles are congruent?

• None of the above

• SAS

• SSS

• AA

How can you determine if two triangles are similar by SSS?

• Checking if all corresponding sides are proportional

• Checking if all corresponding angles are congruent

• Checking if two corresponding angles are congruent

• Checking if two corresponding sides are proportional

If triangles have sides in the ratio 3:6, 4:8, what type of similarity is applicable?

• Angle-Angle similarity

• None of the above

• Side-Angle-Side similarity

• Side-Side-Side similarity

What is the correct statement for Side-Angle-Side (SAS) similarity?

• Two sides proportional and the included angle congruent

• Two angles congruent and any side proportional

• All sides proportional

• All angles congruent

What does it mean if two triangles are similar by SAS?

• All corresponding angles are congruent

• All corresponding sides are proportional

• Two corresponding sides are proportional and the included angle is congruent

• Two corresponding sides and the included angle are congruent

In the context of triangle similarity, what is the role of the included angle in SAS similarity?

• It must be proportional to the corresponding angle in the other triangle

• It must be congruent to the corresponding angle in the other triangle

• It must be smaller than the corresponding angle in the other triangle

• It does not affect the similarity

What is the result of the proportion check for the triangles with sides 15/25 and 12/21?

• The triangles are similar by AA

• The triangles are not similar

• The triangles are similar by SAS

• The triangles are similar by SSS

How do you find the height of an object using triangle similarity, as demonstrated with the flagpole example?

• Using the shadow lengths and the height of a smaller object

• Using the width of the shadow only

• Calculating the area of the shadow

• Measuring the angle of elevation

What does it indicate if two triangles have corresponding sides in the ratio 1.4/1.2 and 7.5/x?

• The triangles might be similar by SSS

• The triangles are not similar

• The triangles are definitely similar by AA

• The triangles might be similar by SAS