Hinge Theorem Triangles

Definition of Hinge Theorem

• If two triangles have two sides congruent to each other, but one of the included angles is wider, that means that the third side of that triangle is longer.

• If two triangles have two sides congruent to each other, but one of the third side is longer, that means that the included angle of that triangle is wider.

• If two triangles have one side congruent to each other, then that means the each triangle is congruent to one another.

• Each triangle is congruent, if they have 3 measured same side lengths.

Compare RT and VX

• RT=VX

• RT<VX

• RT>VX

Which side is the longest ? 

• DE

• AB

• DF

• AC

Using the hinge theorem, we can say that AB _____ DC

• Greater than

• Less than

• Equal to

• Half of 

Only Write the Symbol: AD___CD

What is the answer in number 3?

• Hinge Theorem

• Triangle Inequality Theorem 3

• Substitution Property

• Converse of Hinge Theorem

What is the answer in number?

• Hinge Theorem

• Triangle Inequality Theorem 3

• Substitution Property

• Converse of Hinge Theorem

What is the answer in number 1?

• 𝑀𝑂 ≅ 𝑂𝐸̅

• |𝐸𝑅| + |𝑅𝑂| > |𝑀𝑂|

• |𝐸𝑅| + |𝑅𝑂| > |𝑂𝐸|

• Cannot be determined