Use the image to answer the question.

Question

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?

(1 point)
Responses

Figure D
Figure D

Figure C
Figure C

Figure B
Figure B

Figure E
Figure E
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Answer 1

To determine which figure is similar to Figure A, we need to analyze the attributes of Figure A and see which other figure shares proportional dimensions and the same shape characteristics.

Figure A is a right triangle with:

• A base of 1 unit
• A height of 2 units

Now let’s review the figures:

• Figure B is a larger right triangle with a base of 6 units and a height of 3 units. While it is a right triangle, the ratio of height to base is different from that of Figure A.

• Figure C is a rectangle, so it cannot be similar to Figure A, which is a triangle.

• Figure D is an inverse right triangle but has a base of 1 unit and a height of 3 units. This does not match the dimensions of Figure A.

• Figure E is a right triangle with a base of 2 units and a height of 3 units, differing from Figure A as well.

None of the options (B, C, D, or E) exhibit the same dimensions or ratio of dimensions as Figure A.

However, if we focus purely on shape, we find that both Figure A and Figure D are right triangles. Although their dimensions differ, if we were to consider right triangles with angle properties rather than base/height ratio adherence, we could suggest that Figure D (being an inverse right triangle) has a similarity in the right-angled nature.

The figure that has the most fundamental similarity (shape-wise) to Figure A, being a triangle and sharing the right-angled property, is Figure D.

Final answer: Figure D