Question

solve the problems. figure fghij is the image of figure abcde. use the diagram to solve problems 1 and 2. 1. draw a line to match each side on the left with its corresponding side on the right. a. cd b. ac c. ab d. de gc hi if ch hd fg 2. identify the corresponding angles. write your answers in the blanks. and ∠d ∠e and ∠gch and and ∠eab

Explanation:

Step1: Recall congruent - figure properties

In congruent figures, corresponding sides and angles are equal.

Step2: Match corresponding sides

For congruent figures, we match sides based on the congruence relationship.

• a. $\overline{CD}$ corresponds to $\overline{HI}$
• b. $\overline{AC}$ corresponds to $\overline{GH}$
• c. $\overline{AB}$ corresponds to $\overline{GF}$
• d. $\overline{DE}$ corresponds to $\overline{IF}$

Step3: Identify corresponding angles

• $\angle F$ and $\angle D$ (corresponding angles in congruent figures)
• $\angle E$ and $\angle I$
• $\angle GCH$ and $\angle EAC$ (assuming proper angle - naming based on the figure's congruence)
• $\angle FGH$ and $\angle EAB$

Answer:

1.

• a. $\overline{CD}$ - $\overline{HI}$
• b. $\overline{AC}$ - $\overline{GH}$
• c. $\overline{AB}$ - $\overline{GF}$
• d. $\overline{DE}$ - $\overline{IF}$

2.

• $\angle F$ and $\angle D$
• $\angle E$ and $\angle I$
• $\angle GCH$ and $\angle EAC$
• $\angle FGH$ and $\angle EAB$