How to find if of acute / obtuse isosceles triangles are congruent

Practice Questions

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

Questions

Thingy

Refer to the above diagram. $\overline{AD} \cong \overline{BC}$ and $\overline{AC} \cong \overline{BD}$ . By what statement does it follow that $\bigtriangleup ADC \cong \bigtriangleup BCD$ ?

Given: $\bigtriangleup ABC$ and $\bigtriangleup DEF$ such that

$\overline{AB} \cong \overline{AC}$

$\overline{DE} \cong \overline{DF}$

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

Which statement(s) must be true?

(a) $\bigtriangleup ABC \sim \bigtriangleup DEF$

(b) $\bigtriangleup ABC \cong \bigtriangleup DEF$

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