Question

Point E is 5 units to the right of point A, point D is 4 units down and 1 unit to the right of point E, point C is 2 units down and 1 unit to the left of point D, point B is 5 units to the left of point C, and point A is 6 units above point B. A point has been translated left and down. Based on the graph, which could be true? Check all that apply.

Answer 1

Based on the given information, let's analyze the possible statements:

1. Point F is 2 units to the left and 2 units down from point A.

2. Point F is 1 unit to the right and 2 units down from point B.

3. Point F is 4 units to the left and 2 units down from point C.

4. Point F is 2 units to the left and 4 units down from point D.

5. Point F is 3 units to the right and 4 units down from point E.

Now, let's examine each statement and determine if it aligns with the given information:

1. Point F is 2 units to the left and 2 units down from point A:

This statement is not true based on the given information because it contradicts the initial positioning of point A.

2. Point F is 1 unit to the right and 2 units down from point B:

This statement is not true based on the given information because it contradicts the initial positioning of point B.

3. Point F is 4 units to the left and 2 units down from point C:

This statement is not true based on the given information because it contradicts the initial positioning of point C.

4. Point F is 2 units to the left and 4 units down from point D:

This statement is not true based on the given information because it contradicts the initial positioning of point D.

5. Point F is 3 units to the right and 4 units down from point E:

This statement is true based on the given information. Point E is 5 units to the right of point A, and if we move 3 units to the right from E, we arrive at point F. Additionally, point F is 4 units down from point E.

Therefore, the statement "Point F is 3 units to the right and 4 units down from point E" is true.