Question

choose the image that has the correct markings for the congruent statement:
△uts≅△mks
a)
b)
c)
d)
b
d
a
c

Explanation:

When two triangles are congruent (\(\triangle UTS\cong\triangle MKS\)), their corresponding parts (sides and angles) are equal. In congruent - triangle notation, the order of the letters matters. So, \(U\) corresponds to \(M\), \(T\) corresponds to \(K\), and \(S\) corresponds to \(S\).

• For angles: \(\angle U\) corresponds to \(\angle M\), \(\angle T\) corresponds to \(\angle K\), and \(\angle TSU\) corresponds to \(\angle MSK\).
• For sides: \(UT\) corresponds to \(MK\), \(TS\) corresponds to \(KS\), and \(US\) corresponds to \(MS\).

In option B:

• The markings for the angles: \(\angle T\) and \(\angle K\) (correct correspondence as per \(\triangle UTS\cong\triangle MKS\)), \(\angle U\) and \(\angle M\) (correct correspondence), \(\angle TSU\) and \(\angle MSK\) (correct correspondence).
• The markings for the sides: \(UT\) and \(MK\) (correct correspondence), \(TS\) and \(KS\) (correct correspondence), \(US\) and \(MS\) (correct correspondence).

Answer:

B. Option B