Question

directions: mark the angles and sides of each pair of triangles to indicate that they are congruent. 10. △bdc≅△ilk 11. △xlm≅△tse

Explanation:

Step1: Identify corresponding vertices for \(\triangle BDC\) and \(\triangle ILK\)

Since \(\triangle BDC\cong\triangle ILK\), \(B\) corresponds to \(I\), \(D\) corresponds to \(L\), \(C\) corresponds to \(K\). Mark \(\angle B=\angle I\), \(\angle D=\angle L\), \(\angle C=\angle K\), \(BD = IL\), \(DC=LK\), \(BC = IK\).

Step2: Identify corresponding vertices for \(\triangle XLM\) and \(\triangle TSL\)

Since \(\triangle XLM\cong\triangle TSL\), \(X\) corresponds to \(T\), \(L\) corresponds to \(S\), \(M\) corresponds to \(L\). Mark \(\angle X=\angle T\), \(\angle L=\angle S\), \(\angle M=\angle L\), \(XL = TS\), \(LM=SL\), \(XM = TL\).

Answer:

For \(\triangle BDC\) and \(\triangle ILK\): Mark \(\angle B=\angle I\), \(\angle D=\angle L\), \(\angle C=\angle K\), \(BD = IL\), \(DC=LK\), \(BC = IK\). For \(\triangle XLM\) and \(\triangle TSL\): Mark \(\angle X=\angle T\), \(\angle L=\angle S\), \(\angle M=\angle L\), \(XL = TS\), \(LM=SL\), \(XM = TL\).