How to find if acute / obtuse triangles are congruent

Practice Questions

Intermediate Geometry › How to find if acute / obtuse triangles are congruent

Questions

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\angle A \cong \angle D$

$\angle B \cong \angle E$

$\angle C \cong \angle F$

True or false: It follows from the information given that $\bigtriangleup ABC \cong \bigtriangleup DEF$ .

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\overline{AB} \cong \overline{DE}$

$\overline{AC} \cong \overline{DF}$

$\overline{BC} \cong \overline{EF}$

True or false: It follows from the given information that $\bigtriangleup ABC \cong \bigtriangleup DEF$ .

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\overline{AB} \cong \overline{DE}$

$\overline{AC} \cong \overline{EF}$

$\overline{BC}\cong \overline{DF}$

True or false: It follows from the given information that $\bigtriangleup ABC \cong \bigtriangleup DEF$ .

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\overline{AB} \cong \overline{DE}$

$\overline{AC} \cong \overline{DF}$

$\angle A \cong \angle D$

True or false: It follows from the given information that $\bigtriangleup ABC \cong \bigtriangleup DEF$ .

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ .

$\overline{AB} \cong \overline{DE}$

$\overline{AC} \cong \overline{DF}$

$\angle C \cong \angle F$

True or false: It follows from the given information that $\bigtriangleup ABC \cong \bigtriangleup DEF$ .

Hinge

Refer to the above two triangles. By what statement does it follow that $\bigtriangleup ABC \cong \bigtriangleup DEF$ ?

Hinge

Refer to the above two triangles. By what statement does it follow that $\bigtriangleup ABC \cong \bigtriangleup DEF$ ?