Triangle Congruence Methods and Properties

This video tutorial covers congruent triangles, focusing on the five methods to prove congruence: SSS, SAS, ASA, AAS, and HL. It also explains why SSA and AAA do not prove congruence. The video includes example problems to illustrate these concepts and provides detailed explanations of each method.

Which of the following is a valid method to prove two triangles are congruent?

• Side-Side-Side

• Side-Side-Angle

• None of the above

• Angle-Angle-Angle

Why can't the Side-Side-Angle method be used to prove triangle congruence?

• It doesn't ensure all angles are equal

• It doesn't guarantee congruence

• It doesn't ensure all sides are equal

• It only works for right triangles

In the angle-side-angle method, where should the side be located?

• Adjacent to one angle

• Outside the two angles

• Opposite to one angle

• Between the two angles

What is the special case of the side-side-angle method for right triangles called?

• Hypotenuse-Leg

• Angle-Side-Angle

• Side-Angle-Side

• Angle-Angle-Side

When using the hypotenuse-leg method, what must be true about the triangle?

• It must be equilateral

• It must be isosceles

• It must be a right triangle

• It must be scalene

In a right triangle, which side is the hypotenuse?

• The shortest side

• The side adjacent to the right angle

• The longest side

• The side opposite the smallest angle

For side-angle-side congruence, where should the angle be located?

• Opposite to one side

• Adjacent to one side

• Outside the two sides

• Between the two sides

What additional information is needed to prove triangles congruent by angle-side-angle?

• A different angle

• A different triangle

• Another angle

• Another side

In angle-angle-side congruence, where should the side be located?

• Between the two angles

• Not between the two angles

• Opposite to one angle

• Adjacent to one angle

Which angle corresponds to angle R in triangle RST?

• Angle E

• Angle D

• Angle F

• Angle T