Question

b) complete each congruence statement.
5)
6)
7)
8)

Explanation:

Step1: Analyze triangle congruence for 5)

In triangle congruence, corresponding angles are equal. For \(\triangle QRS\) and \(\triangle VUW\), by observing the markings (equal sides and angles), \(\angle Q\) corresponds to \(\angle V\).

Step2: Analyze triangle congruence for 6)

For \(\triangle ABC\) and \(\triangle EDC\), \(\overline{AB}\) and \(\overline{ED}\) are corresponding sides (right - angled sides with equal markings), so \(\overline{AB}\cong\overline{ED}\).

Step3: Analyze triangle congruence for 7)

For \(\triangle EFG\) and \(\triangle HIG\), \(\overline{HI}\) and \(\overline{EF}\) are corresponding sides (with equal markings), so \(\overline{HI}\cong\overline{EF}\).

Step4: Analyze triangle congruence for 8)

For \(\triangle XYZ\) and \(\triangle RQZ\) (or by looking at the angle - side - angle relationships and markings), \(\angle X\) and \(\angle R\) are corresponding angles (with the same number of arcs indicating congruence), so \(\angle X\cong\angle R\).

Answer:

1. \(\angle V\)
2. \(\overline{ED}\)
3. \(\overline{EF}\)
4. \(\angle R\)