Determining Similar Triangles Using Angle Measures and the Triangle Sum Theorem

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

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

If two triangles have one pair of corresponding angles with the same measure, are they necessarily similar?

• Only if the sides are equal

• Only if the triangles are right-angled

• Yes, always

• No, not necessarily

In the example given, what was the incorrect assumption about the triangles with angles 92, 57, and 41 degrees?

• They were assumed to be congruent

• They were assumed to be similar

• They were assumed to be right-angled

• They were assumed to be isosceles

How do you determine the third angle of a triangle if you know the other two angles?

• Add the two angles and subtract from 180

• Add the two angles and subtract from 360

• Multiply the two angles and subtract from 180

• Divide the sum of the two angles by 2

What must be true for two triangles to be considered similar?

• All sides must be equal

• All angles must be equal

• Two pairs of corresponding angles must be equal

• One pair of corresponding sides must be equal