Question

1. in the figure, $abcdcong efgh$. write congruence statements for each of the congruent angle and side pairs. there should be 8 congruence statements.

a. 4 pairs of congruent angles:
b. 4 pairs of congruent sides:

Explanation:

Step1: Recall congruent - polygon property

When two polygons are congruent, corresponding angles and sides are congruent.

Step2: Identify congruent angles

Since \(ABCD\cong EFGH\), the corresponding - angle congruence statements are: \(\angle A\cong\angle E\), \(\angle B\cong\angle F\), \(\angle C\cong\angle G\), \(\angle D\cong\angle H\).

Step3: Identify congruent sides

The corresponding - side congruence statements are: \(AB\cong EF\), \(BC\cong FG\), \(CD\cong GH\), \(DA\cong HE\).

Answer:

a. \(\angle A\cong\angle E\), \(\angle B\cong\angle F\), \(\angle C\cong\angle G\), \(\angle D\cong\angle H\)
b. \(AB\cong EF\), \(BC\cong FG\), \(CD\cong GH\), \(DA\cong HE\)