Question
A coordinate plane shows two plotted irregular hexagons in the first and fourth quadrants. The coordinate plane shows both the x-axis and y-axis ranging from negative 7 to 7 in unit increments. The first quadrant shows a solid line irregular hexagon labeled upper S, formed by connecting the following points in the given order: point upper A is left parenthesis 1 comma 1 right parenthesis; point upper B left is parenthesis 6 comma 1 right parenthesis; point upper C is left parenthesis 4 comma 5 right parenthesis; point upper D is left parenthesis 5 comma 6 right parenthesis; point upper E is left parenthesis 2 comma 6 right parenthesis; and point upper F is left parenthesis 3 comma 5 right parenthesis. The hexagon is complete with point upper F connecting with point upper A. The fourth quadrant shows a dotted line irregular hexagon labeled upper T formed by connecting the following points in the given order: point upper A is left parenthesis 2 comma negative 1 right parenthesis; point upper B is left parenthesis 5 comma negative 1 right parenthesis; point upper C is left parenthesis 4 comma negative 2 right parenthesis; point upper D is left parenthesis 6 comma negative 5 right parenthesis; point upper E is left parenthesis 1 comma negative 5 right parenthesis; and point upper F is left parenthesis 3 comma negative 2 right parenthesis. The hexagon is complete with point upper F connecting with point upper A.
Is figure T a reflection of figure S across the x
-axis? Choose 1 for yes and 2 for no.(1 point)
Is figure T a reflection of figure S across the x
-axis? Choose 1 for yes and 2 for no.(1 point)
Answers
GPT-4o mini
To determine if figure T is a reflection of figure S across the x-axis, we need to check if the coordinates of the points in figure T are the negative of the corresponding coordinates in figure S.
Let's compare each corresponding point:
- For point A:
- S: \( (1, 1) \) → T: \( (2, -1) \) (Not the negative)
- For point B:
- S: \( (6, 1) \) → T: \( (5, -1) \) (Not the negative)
- For point C:
- S: \( (4, 5) \) → T: \( (4, -2) \) (Not the negative)
- For point D:
- S: \( (5, 6) \) → T: \( (6, -5) \) (Not the negative)
- For point E:
- S: \( (2, 6) \) → T: \( (1, -5) \) (Not the negative)
- For point F:
- S: \( (3, 5) \) → T: \( (3, -2) \) (Not the negative)
Since none of the points in figure T correspond to the reflection of the points in figure S across the x-axis, we conclude that figure T is not a reflection of figure S.
The answer is **2 (no)**.
Let's compare each corresponding point:
- For point A:
- S: \( (1, 1) \) → T: \( (2, -1) \) (Not the negative)
- For point B:
- S: \( (6, 1) \) → T: \( (5, -1) \) (Not the negative)
- For point C:
- S: \( (4, 5) \) → T: \( (4, -2) \) (Not the negative)
- For point D:
- S: \( (5, 6) \) → T: \( (6, -5) \) (Not the negative)
- For point E:
- S: \( (2, 6) \) → T: \( (1, -5) \) (Not the negative)
- For point F:
- S: \( (3, 5) \) → T: \( (3, -2) \) (Not the negative)
Since none of the points in figure T correspond to the reflection of the points in figure S across the x-axis, we conclude that figure T is not a reflection of figure S.
The answer is **2 (no)**.