Geometry - Definitions

The video tutorial introduces triangles, explaining their basic properties and classification by sides and angles. It covers theorems related to triangle angles, including the sum of angles being 180 degrees, and explores corollaries derived from these theorems. The tutorial also delves into proving triangle congruence, emphasizing the importance of corresponding parts. The content is structured to enhance understanding of geometric principles and their applications.

Which type of triangle has all sides of equal length?

• Right

• Equilateral

• Isosceles

• Scalene

What is a characteristic of a right triangle?

• All angles are equal

• All sides are different lengths

• It has one obtuse angle

• It has one right angle

Which of the following is NOT a way to classify triangles by their angles?

• Obtuse

• Scalene

• Right

• Equiangular

What is the sum of the angles in any triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If two angles of one triangle are congruent to two angles of another triangle, what can be said about the third angles?

• They are congruent

• They are supplementary

• They are equal to 90 degrees

• They are complementary

What is the definition of complementary angles?

• Two angles whose measures add up to 90 degrees

• Two angles whose measures add up to 180 degrees

• Two angles that are equal

• Two angles that are supplementary

Which statement is true about the acute angles of a right triangle?

• They are supplementary

• They are complementary

• They are congruent

• They are equal

What is the measure of an exterior angle of a triangle equal to?

• The sum of the two adjacent interior angles

• The sum of the two remote interior angles

• The difference between the two remote interior angles

• The average of the two remote interior angles

What does it mean for two triangles to be congruent?

• Their corresponding parts are congruent

• They are similar

• They have the same perimeter

• They have the same area

What is the converse of the statement 'If two triangles are congruent, all of their corresponding parts are congruent'?

• If two triangles have the same area, then they are congruent

• If two triangles have the same perimeter, then they are congruent

• If two triangles are similar, then they are congruent

• If two triangles have congruent corresponding parts, then the two triangles are congruent