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if mpon ≅ urst, what are the corresponding parts? select all that apply…

Question

if mpon ≅ urst, what are the corresponding parts? select all that apply. (overline{on}congoverline{st}) (overline{mp}congoverline{st}) (overline{nm}congoverline{tu}) (overline{pm}congoverline{ru})

Explanation:

Step1: Recall congruent - figure property

When two figures are congruent, their corresponding parts are congruent. For congruent quadrilaterals \(MPON\cong URST\), the vertices are in corresponding order.

Step2: Match corresponding sides

The first - letter of the first quadrilateral corresponds to the first - letter of the second quadrilateral, the second - letter to the second, and so on. So, \(O\) corresponds to \(S\) and \(N\) corresponds to \(T\), then \(\overline{ON}\cong\overline{ST}\); \(P\) corresponds to \(R\) and \(M\) corresponds to \(U\), then \(\overline{PM}\cong\overline{RU}\).

Answer:

\(\overline{ON}\cong\overline{ST}\), \(\overline{PM}\cong\overline{RU}\)