Adding and Subtracting Rational Expressions

This video tutorial covers the hypotenuse leg congruence theorem, which applies to right triangles. It explains the significance of the theorem and provides examples of how to prove triangle congruence using this method. The tutorial includes a guided example and encourages independent practice to reinforce learning.

What type of triangle is necessary for applying the hypotenuse leg congruence theorem?

• Isosceles triangle

• Right triangle

• Equilateral triangle

• Scalene triangle

Which sides must be congruent to apply the hypotenuse leg theorem?

• Two adjacent sides

• Two opposite sides

• All three sides

• The hypotenuse and one leg

Which statement is true about the hypotenuse leg theorem?

• It requires the triangles to be right triangles

• It only requires the legs to be congruent

• It applies to all types of triangles

• It is used to calculate the area of triangles

What must be proven about the triangles before applying the hypotenuse leg theorem?

• They are similar

• They contain a 90-degree angle

• They are equilateral

• They are congruent

What property is used to show that a side is congruent to itself?

• Symmetric property

• Transitive property

• Reflexive property

• Distributive property

What is the final step in proving triangle congruence using the hypotenuse leg theorem?

• Proving the triangles are right triangles

• Stating the congruence of the triangles

• Proving the triangles are similar

• Calculating the angles

What does the reflexive property imply in the context of triangle congruence?

• All angles are equal

• Two triangles are identical

• A side is equal to itself

• The hypotenuse is the longest side

Which of the following is not a direct result of the hypotenuse leg theorem?

• Right triangle identification

• Angle similarity

• Triangle congruence

• Side congruence

What additional information is needed if the hypotenuse and one leg are congruent?

• The triangles have two congruent angles

• The triangles are right triangles

• The triangles have equal area

• The triangles are isosceles

How can you verify that two right triangles are congruent?

• By proving all sides congruent

• By proving one angle congruent

• By proving the hypotenuse and one leg congruent

• By proving all angles congruent