Question

three quadrilaterals exist such that g h j k ≅ a s d f and g h j k ≅ v b n m. if m v measures 3 cm, which other segment must measure 3 cm?
af
kj
fd
gj

Explanation:

Step1: Use the property of congruent quadrilaterals

Congruent quadrilaterals have corresponding sides equal. Since \(GHJK\cong ASDF\) and \(GHJK\cong VBNM\), the corresponding sides of these congruent quadrilaterals are equal.

Step2: Identify the corresponding side

In congruent quadrilaterals, if \(MV\) corresponds to \(GJ\) (by the order of congruence of quadrilaterals \(GHJK\cong VBNM\)), then \(MV = GJ\). Given \(MV = 3\mathrm{cm}\), so \(GJ\) must also be \(3\mathrm{cm}\)

Answer:

GJ