Geometric Figures Properties Evaluation
The image shows two geometric figures, and there are statements about their properties with checkboxes, asking us to select all the true statements about Figure A and Figure B. Let's evaluate the statements one by one.
A) Both figures have 6 faces.
- Without seeing the bottom of the figures, we can count visible faces. Figure A, which resembles a pyramid, seems to have 4 triangular faces and a square base, which means 5 faces visible, and it is safe to assume it has a sixth face on the bottom. Figure B has the top and four rectangular sides visible; again, assuming there is a bottom face, it would have 6 faces as well. This statement is true.
B) Figure A has an apex.
- Figure A appears to be a pyramid with a square base, which means it does have an apex (the top point where all triangular faces meet). This statement is true.
C) The faces of Figure A are all squares.
- This is false because Figure A has triangular faces and a square base.
D) The faces of Figure B are rectangles and squares.
- The top face of Figure B is a square, the sides are rectangular, and assuming the base is a square like the top, this statement would be false since not all faces are rectangles; some are squares as well.
E) Both figures have 2 circular bases.
- This is not true; neither figure shows any circular bases.
F) Both figures have curved surfaces.
- Both figures are made with flat surfaces, so this statement is false.
The true statements are:
A) Both figures have 6 faces.
B) Figure A has an apex.
