Question

click the arrows to choose an answer from each menu. li choose... correct. each side length of abcd is choose... the corresponding side length of abcd. each angle measure of abcd is choose... the corresponding angle measure of abcd. therefore, abcd and abcd are choose...

Explanation:

To solve this, we analyze the transformation between \( A'B'C'D' \) and \( ABCD \):

Step 1: Side Lengths

For a translation (or congruent transformation), corresponding side lengths are equal. So each side length of \( A'B'C'D' \) is equal to the corresponding side length of \( ABCD \).

Step 2: Angle Measures

In congruent figures, corresponding angle measures are equal. So each angle measure of \( A'B'C'D' \) is equal to the corresponding angle measure of \( ABCD \).

Step 3: Figure Relationship

If all corresponding sides and angles are equal, the figures are congruent (since translation preserves size and shape).

Final Answers (assuming dropdown options like "equal to", "equal to", "congruent"):

• Each side length of \( A'B'C'D' \) is \(\boldsymbol{\text{equal to}}\) the corresponding side length of \( ABCD \).
• Each angle measure of \( A'B'C'D' \) is \(\boldsymbol{\text{equal to}}\) the corresponding angle measure of \( ABCD \).
• Therefore, \( A'B'C'D' \) and \( ABCD \) are \(\boldsymbol{\text{congruent}}\).

Answer:

To solve this, we analyze the transformation between \( A'B'C'D' \) and \( ABCD \):

Step 1: Side Lengths

For a translation (or congruent transformation), corresponding side lengths are equal. So each side length of \( A'B'C'D' \) is equal to the corresponding side length of \( ABCD \).

Step 2: Angle Measures

In congruent figures, corresponding angle measures are equal. So each angle measure of \( A'B'C'D' \) is equal to the corresponding angle measure of \( ABCD \).

Step 3: Figure Relationship

If all corresponding sides and angles are equal, the figures are congruent (since translation preserves size and shape).

Final Answers (assuming dropdown options like "equal to", "equal to", "congruent"):

• Each side length of \( A'B'C'D' \) is \(\boldsymbol{\text{equal to}}\) the corresponding side length of \( ABCD \).
• Each angle measure of \( A'B'C'D' \) is \(\boldsymbol{\text{equal to}}\) the corresponding angle measure of \( ABCD \).
• Therefore, \( A'B'C'D' \) and \( ABCD \) are \(\boldsymbol{\text{congruent}}\).