Question
Which statements are true about the shapes? Select three options.
Figure A is a cylinder. Figure B is a cone. Figure C is a sphere. Figure D is a pyramid with rectangular base.
Figure A is a cylinder.
Figure B is a square pyramid.
Figure C has no bases.
Figure D is a triangular prism.
Figure D has four lateral faces that are triangles.
Figure A is a cylinder. Figure B is a cone. Figure C is a sphere. Figure D is a pyramid with rectangular base.
Figure A is a cylinder.
Figure B is a square pyramid.
Figure C has no bases.
Figure D is a triangular prism.
Figure D has four lateral faces that are triangles.
Answers
GPT-4o mini
Based on the descriptions you provided for the shapes, let's evaluate the statements:
1. **Figure A is a cylinder.** - This statement is true.
2. **Figure B is a cone.** - This statement is false if Figure B is indeed a square pyramid (as per another statement).
3. **Figure C is a sphere.** - This statement is true.
4. **Figure D is a pyramid with a rectangular base.** - This statement is false if Figure D is described as a triangular prism elsewhere.
5. **Figure B is a square pyramid.** - This statement is true if we assume Figure B really is a square pyramid.
6. **Figure C has no bases.** - This statement is true, as a sphere does not have bases.
7. **Figure D is a triangular prism.** - This statement is false if Figure D is actually a pyramid with a rectangular base.
8. **Figure D has four lateral faces that are triangles.** - This statement would be true if Figure D were a triangular pyramid (but false if it were a rectangular-based pyramid).
From the above analysis, the three true statements are:
1. **Figure A is a cylinder.**
2. **Figure C is a sphere.**
3. **Figure B is a square pyramid.** (given this option is true and we assume Figure B is being correctly identified as such).
1. **Figure A is a cylinder.** - This statement is true.
2. **Figure B is a cone.** - This statement is false if Figure B is indeed a square pyramid (as per another statement).
3. **Figure C is a sphere.** - This statement is true.
4. **Figure D is a pyramid with a rectangular base.** - This statement is false if Figure D is described as a triangular prism elsewhere.
5. **Figure B is a square pyramid.** - This statement is true if we assume Figure B really is a square pyramid.
6. **Figure C has no bases.** - This statement is true, as a sphere does not have bases.
7. **Figure D is a triangular prism.** - This statement is false if Figure D is actually a pyramid with a rectangular base.
8. **Figure D has four lateral faces that are triangles.** - This statement would be true if Figure D were a triangular pyramid (but false if it were a rectangular-based pyramid).
From the above analysis, the three true statements are:
1. **Figure A is a cylinder.**
2. **Figure C is a sphere.**
3. **Figure B is a square pyramid.** (given this option is true and we assume Figure B is being correctly identified as such).