Question
Which of the following are properties of all rhombus? Check ALL that apply(3 points)
Responses
The diagonals bisect each other at a 90 degree angle
The diagonals bisect each other at a 90 degree angle
All angles are 90 degrees
All angles are 90 degrees
All four sides are equal length
All four sides are equal length
Opposite angles are equal
Opposite angles are equal
The diagonals are congruent
Responses
The diagonals bisect each other at a 90 degree angle
The diagonals bisect each other at a 90 degree angle
All angles are 90 degrees
All angles are 90 degrees
All four sides are equal length
All four sides are equal length
Opposite angles are equal
Opposite angles are equal
The diagonals are congruent
Answers
GPT-4o mini
The properties of all rhombuses are as follows:
1. **The diagonals bisect each other at a 90 degree angle.**
- True. This is a property of all rhombuses.
2. **All angles are 90 degrees.**
- False. While a rhombus can have right angles, not all rhombuses have all angles as 90 degrees. In fact, a rhombus with all angles equal to 90 degrees is specifically a square.
3. **All four sides are equal length.**
- True. This is a defining property of a rhombus.
4. **Opposite angles are equal.**
- True. In a rhombus, opposite angles are always equal.
5. **The diagonals are congruent.**
- False. This is not a property of all rhombuses. The diagonals are only congruent in a square.
Based on this analysis, the correct properties of all rhombuses are:
1. The diagonals bisect each other at a 90 degree angle.
2. All four sides are equal length.
3. Opposite angles are equal.
1. **The diagonals bisect each other at a 90 degree angle.**
- True. This is a property of all rhombuses.
2. **All angles are 90 degrees.**
- False. While a rhombus can have right angles, not all rhombuses have all angles as 90 degrees. In fact, a rhombus with all angles equal to 90 degrees is specifically a square.
3. **All four sides are equal length.**
- True. This is a defining property of a rhombus.
4. **Opposite angles are equal.**
- True. In a rhombus, opposite angles are always equal.
5. **The diagonals are congruent.**
- False. This is not a property of all rhombuses. The diagonals are only congruent in a square.
Based on this analysis, the correct properties of all rhombuses are:
1. The diagonals bisect each other at a 90 degree angle.
2. All four sides are equal length.
3. Opposite angles are equal.