Question

which two triangles are congruent? complete the congruence statement. \\( \triangle \underline{\quad\quad} \cong \triangle \underline{\quad\quad} \\)

Explanation:

Step1: Match congruent side markings

• $\triangle IHG$: Sides $IH$ (2 marks), $HG$ (3 marks), $IG$ (1 mark)
• $\triangle BCD$: Sides $BC$ (1 mark), $CD$ (4 marks), $BD$ (3 marks)
• $\triangle UMW$: Sides $UM$ (1 mark), $UW$ (3 marks), $MW$ (2 marks)

Step2: Identify matching triangle

$\triangle IHG$ has sides matching $\triangle UMW$: $IH=MW$, $HG=UW$, $IG=UM$.

Answer:

$\triangle IHG \cong \triangle UMW$