Question

consider that △def is congruent to △ghi and the measure of ∠e = 58°. what is the measure of ∠h?
22°
45°
20°
58°
question 8
1 pts
suppose △ith≅△apg. which congruency statement is true?
it≅ag
ih≅ag
th≅ag
th≅ap

Explanation:

Step1: Recall congruent - triangle property

When two triangles are congruent, corresponding angles are equal. In \(\triangle DEF\cong\triangle GHI\), \(\angle E\) and \(\angle H\) are corresponding angles.

Step2: Determine the measure of \(\angle H\)

Since \(\angle E = 58^{\circ}\) and \(\angle E\cong\angle H\), then \(\angle H=58^{\circ}\).

Step3: Recall congruent - triangle side - correspondence

For \(\triangle ITH\cong\triangle APG\), the corresponding sides are: \(IT\) corresponds to \(AP\), \(TH\) corresponds to \(PG\), and \(IH\) corresponds to \(AG\).

Answer:

Question 1: \(58^{\circ}\)
Question 2: \(\overline{IH}\cong\overline{AG}\)