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.

Question

Which figure can you describe as similar to Figure A?

Figure C
Figure C

Figure D
Figure D

Figure B
Figure B

Figure E

Answer 1

To determine which figure is similar to Figure A, we need to analyze the dimensions and shapes of the figures described. Figure A is a right triangle with a base of 1 unit (width) and a height of 2 units.

Let's check the dimensions of each figure:

• Figure B: This is a right triangle with a base that runs 6 units and a height of 3 units. The ratio of the base to height is 6:3 or 2:1.

• Figure C: This is a rectangle and does not have the triangle characteristics of Figure A, so it cannot be similar.

• Figure D: This figure is an inverse right triangle with a base of 1 unit (width, at the top of the 6th row) and a height of 3 units. The ratio of the base to height is 1:3.

• Figure E: This right triangle extends with a base of 2 units (along the bottom of the 10th row) and a height of 3 units. The ratio of the base to height is 2:3.

Now, comparing the ratios of the figures:

• Figure A (1:2)
• Figure B (2:1)
• Figure C (not a triangle)
• Figure D (1:3)
• Figure E (2:3)

None of these figures share the same base-to-height ratio as Figure A (1:2). However, Figure D (1:3) and Figure E (2:3) have ratios that are different from Figure A but have the structure of triangles.

Since none of the figures are exactly similar to Figure A in terms of their dimensions, there is no direct match.

However, if we consider similar triangles (triangles that maintain the same shape regardless of size), we can look for triangles that maintain the right triangle proportion.

While none perfectly match, if pressed, the figure with the closest structure would be Figure D, which at least maintains the right triangle shape, but it's important to note that the ratios of its sides differ from Figure A.

Therefore, the final answer is:

Figure D is the closest option with a right triangle structure.