Question
Question 4 (1 point)
True or false: This shape shows point and rotational symmetry, but not line symmetry.
True
False
True or false: This shape shows point and rotational symmetry, but not line symmetry.
True
False
Answers
GPT-4o mini
To determine whether the statement is true or false, we need to understand the definitions:
- **Point symmetry** occurs when a shape is identical on both sides of a central point, meaning for every point in the shape, there's an equivalent point at an equal distance in the opposite direction from that central point.
- **Rotational symmetry** indicates that a shape looks the same after being rotated about a central point by a certain angle.
- **Line symmetry** (or mirror symmetry) is when a shape can be divided into two mirror-image halves by a straight line.
Given the statement "This shape shows point and rotational symmetry, but not line symmetry," it would be true if the shape indeed has point and rotational symmetry but lacks any straight line that creates mirror image halves.
However, without a visual of the shape in question, we can't definitively assess the symmetry properties being discussed. If a shape possesses both point and rotational symmetry, but is designed such that it cannot be divided into two equal halves along a line, then the statement would be **TRUE**.
Conversely, if the shape has any line that divides it into two mirror-image halves, then the statement would be **FALSE**.
If you're asking for a general answer without a specific shape in mind, the answer would be based on the shape characteristics described. Please refer to the specific shape in your context to declare the statement as true or false.
- **Point symmetry** occurs when a shape is identical on both sides of a central point, meaning for every point in the shape, there's an equivalent point at an equal distance in the opposite direction from that central point.
- **Rotational symmetry** indicates that a shape looks the same after being rotated about a central point by a certain angle.
- **Line symmetry** (or mirror symmetry) is when a shape can be divided into two mirror-image halves by a straight line.
Given the statement "This shape shows point and rotational symmetry, but not line symmetry," it would be true if the shape indeed has point and rotational symmetry but lacks any straight line that creates mirror image halves.
However, without a visual of the shape in question, we can't definitively assess the symmetry properties being discussed. If a shape possesses both point and rotational symmetry, but is designed such that it cannot be divided into two equal halves along a line, then the statement would be **TRUE**.
Conversely, if the shape has any line that divides it into two mirror-image halves, then the statement would be **FALSE**.
If you're asking for a general answer without a specific shape in mind, the answer would be based on the shape characteristics described. Please refer to the specific shape in your context to declare the statement as true or false.