Exploring Triangle Angle Sum and Classification

This video tutorial covers lesson 5.2, focusing on the triangle angle sum theorem, classifying triangles by angles and sides, solving for missing angles and sides, understanding congruent figures and transformations, naming congruent triangles, and methods for proving triangle congruence. The lesson includes practical examples and encourages students to pause and solve problems independently.

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

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees

If a triangle has one right angle, what type of triangle is it?

• Obtuse triangle

• Right triangle

• Acute triangle

• Equilateral triangle

How do you classify a triangle with all sides of different lengths?

• Equilateral

• Isosceles

• Scalene

• Right

In an isosceles triangle, if one of the equal angles is 76 degrees, what is the measure of the other equal angle?

• 76 degrees

• 90 degrees

• 38 degrees

• 28 degrees

What is the value of x if the angles of a triangle are 67 degrees, 77 degrees, and (3x + 3) degrees?

• 11

• 13

• 10

• 12

Which transformation does NOT result in a congruent figure?

• Dilation

• Translation

• Reflection

• Rotation

What does CPCTC stand for in triangle congruence?

• Congruent Parts of Corresponding Triangles are Corresponding

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Corresponding

If two triangles have three pairs of corresponding sides that are equal, which congruence theorem applies?

• AAS

• SAS

• SSS

• ASA

Which congruence theorem requires two angles and the included side to be equal?

• SSS

• ASA

• SAS

• AAS

If two triangles have two pairs of corresponding angles and a non-included side that are equal, which congruence theorem applies?

• AAS

• SAS

• ASA

• SSS