An illustration shows a 13 by 9 grid with 4 triangles and a rectangle on it. Figure A is a right triangle that extends from the top of the 2nd to the end of the 3rd rows, in the 3rd column. The base is 1 unit wide along the bottom of row 3 in column 3, and the perpendicular line is 2 units high the left side of column 3. Figure B is a right triangle with a base that runs 6 units along the bottom of row 4 from column 7 through column 12. The perpendicular edge runs 3 units along the left edge of column 7, from row 2 to 4. Figure C, a rectangle, covers the 5th and 6th row units in column 2. Figure D, an inverse right triangle, extends from the top of the 6th to the end of the 8th rows, in column 5. The base occupies the top of 6th row for 1 unit, and the perpendicular line for 3 units on right side of the 5th column. Figure E, a right triangle, extends from the top of 6th to the end of the 8th rows, in columns 9 and 10. The base occupies the bottom of 10th row for 2 units and the perpendicular line runs for 3 units on the left side of column 9.

which figure can you describe as similar to figure A

figure e
figure c
figure d
figure b

1 answer

To determine which figure is similar to Figure A, we need to analyze the geometric properties of Figure A and compare them to the other figures.

Figure A:

  • A right triangle.
  • Base: 1 unit along the bottom (row 3).
  • Height: 2 units (perpendicular line).

Now let's analyze the other figures:

Figure B:

  • A right triangle.
  • Base: 6 units along the bottom (row 4).
  • Height: 3 units (perpendicular line).
  • The dimensions are significantly different from Figure A, so they're not similar.

Figure C:

  • A rectangle.
  • Does not have the same shape or property as a triangle, thus not similar.

Figure D:

  • An inverse right triangle.
  • Base: 1 unit along the top (row 6).
  • Height: 3 units (perpendicular line).
  • It is an inverse triangle and has a different height to base ratio.

Figure E:

  • A right triangle.
  • Base: 2 units along the bottom (row 10).
  • Height: 3 units (perpendicular line).
  • Again, the dimensions vary significantly.

Based on this analysis, none of the figures (B, C, D, or E) have the same height to base ratio or general properties as Figure A. Therefore, none of them can be described as similar to Figure A.

If strictly adhering to the definition of similarity (proportionate dimensions), we find no figures from the given choices are similar to Figure A.