Exploring Similar Triangles and Proportionality

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

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

If triangle ABC is similar to triangle DEF, which angle in triangle DEF corresponds to angle B of triangle ABC?

• Angle E

• None of the above

• Angle D

• Angle F

In similar triangles, how do the lengths of corresponding sides relate?

• They are equal

• They are halved

• They are proportional

• They are squared

What is the scale factor if the sides of one triangle are twice as long as the sides of a similar triangle?

• 3

• 1.5

• 2

• 0.5

How do you solve the proportion 12/8 = x/6 for x?

• x = 7

• x = 10

• x = 8

• x = 9

What type of angles are angle ALE and angle DLP if they are described as vertical angles?

• Complementary

• Adjacent

• Congruent

• Supplementary

If no similarity statement is provided, how can you determine corresponding sides in triangles?

• By position

• By color coding

• By side lengths

• By angle measures

What does it mean if two triangles are similar?

• They have the same size

• They are congruent

• They have the same color

• They have the same shape but not necessarily the same size

In the context of similar triangles, what does it mean for angles to be congruent?

• They are right angles

• They have the same measure

• They add up to 180 degrees

• They have different measures

How do you check if your solution for x in a triangle proportion problem is correct?

• By recalculating everything

• By measuring the angles

• By checking the ratio consistency

• By verifying the sum of angles