5.5 Hinge Theorem

two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

two sides and an angle of one triangle are congruent to two sides and an angle of another triangle.

two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

two angles and a side of one triangle are congruent to two angles and a side of another triangle.

A

B

C

D

EF = FG

EF < FG

EF > FG

Not enough information is given.

<

>

=

No conclusion can be made.

$$QT\ <\ ST$$

$$QT\ >\ ST$$

$$QT\ =\ ST$$

$$\overline{QT}\ \cong\ \overline{ST}$$

RT=VX

RT<VX

RT>VX

RT $$\cong$$ VX 

x < 16

4 < x < 16

x < 40

4 < x < 40

$$2\ <x<6$$

$$6<x<15\ \frac{1}{3}$$

$$6<x<22$$

$$2<x<22$$

8>x>26

7<x<25

8<x<26

7>x>25

$$x>7$$

$$-\frac{17}{3}<x>7$$

$$-\frac{17}{3}<x<7$$

$$x<7$$

$$-20<x<21$$

$$8<x<37$$

$$34<x<37$$

$$8<x<24$$