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Three quadrilaterals exist such that GHJKcong ASDF and GHJKcong VBNM If overline (MV) measures 3 cm, which other segment must measure 3 cm? overline (AF) overline (KJ) overline (FD) overline (GJ)

Pergunta

Three quadrilaterals exist such that GHJKcong ASDF and GHJKcong VBNM
If overline (MV) measures 3 cm, which other segment must measure 3 cm?
overline (AF)
overline (KJ)
overline (FD)
overline (GJ)

Three quadrilaterals exist such that GHJKcong ASDF and GHJKcong VBNM If overline (MV) measures 3 cm, which other segment must measure 3 cm? overline (AF) overline (KJ) overline (FD) overline (GJ)

Solução

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JoãoElite · Tutor por 8 anos

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To solve this problem, we need to use the properties of congruent quadrilaterals.<br /><br />Given information:<br />- $GHJK \cong ASDF$ and $GHJK \cong VBNM$<br />- $\overline{MV}$ measures 3 cm<br /><br />Since $GHJK \cong ASDF$ and $GHJK \cong VBNM$, we can conclude that the corresponding sides of these congruent quadrilaterals are also congruent.<br /><br />Therefore, the segment that must measure 3 cm is $\overline{KJ}$, as it corresponds to $\overline{MV}$ in the congruent quadrilateral $VBNM$.<br /><br />The correct answer is $\overline{KJ}$.
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