Question

question 5 (multiple choice worth 1 points) (02 03r lc) if triangle ghi is congruent to triangle jkl, which statement is not true? (overline{hi}congoverline{kl}) (angle gcongangle j) (overline{gh}congoverline{kl}) (angle icongangle l)

Explanation:

Step1: Recall congruent - triangle properties

When \(\triangle GHI\cong\triangle JKL\), corresponding sides and corresponding angles are congruent. The order of the letters in the triangle names indicates the correspondences. \(G\) corresponds to \(J\), \(H\) corresponds to \(K\), and \(I\) corresponds to \(L\).

Step2: Analyze each option

• For \(\overline{HI}\cong\overline{KL}\), \(H\) corresponds to \(K\) and \(I\) corresponds to \(L\), so this is a true statement about corresponding sides.
• For \(\angle G\cong\angle J\), \(G\) and \(J\) are corresponding vertices, so this is a true statement about corresponding angles.
• For \(\overline{GH}\cong\overline{KL}\), \(G\) corresponds to \(J\) and \(H\) corresponds to \(K\), so the corresponding side to \(\overline{GH}\) is \(\overline{JK}\), not \(\overline{KL}\). This statement is not true.
• For \(\angle I\cong\angle L\), \(I\) and \(L\) are corresponding vertices, so this is a true statement about corresponding angles.

Answer:

\(\overline{GH}\cong\overline{KL}\) is not true.