Question - Geometric Figures Properties Evaluation
Solution:
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.
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