Similar Figures Quick Check

Question

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Question
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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 E
Figure E

Figure C
Figure C

Figure B
Figure B

Figure D
Figure D
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Answer 1

To determine which figure is similar to Figure A, we need to analyze the dimensions and shape of Figure A and compare these attributes to the other figures.

Figure A is a right triangle with the following dimensions:

• Base: 1 unit
• Height: 2 units

For two figures to be similar, they must have the same shape, which means corresponding angles must be equal, and the lengths of corresponding sides must be proportional.

Now, let's examine the other figures:

• Figure B is a larger right triangle with a base of 6 units and a height of 3 units. The ratio of base to height (6:3 or 2:1) is different from Figure A (1:2).

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

• Figure D is an inverse right triangle, but we need to verify its dimensions. From the description, it appears the base is 1 unit, and the height is 3 units (ratio 1:3), which does not match Figure A's ratio.

• Figure E is a right triangle with a base of 2 units and a height of 3 units (ratio 2:3), which also does not match Figure A's dimensions.

After comparing these, none of the figures match the shape and proportions of Figure A.

Since it seems there may have been a misunderstanding or miscalculation in the response options, please note that based on the provided descriptions, none of the figures A, B, C, D, or E are similar to Figure A.

However, based solely on the details you provided in the context of the question, if forced to choose, I would argue that Figure D, despite not being proportional, represents a triangle that has a right angle similar to Figure A, but it doesn't maintain proportional dimensions.

If there were different options, a detailed analysis would show no direct similarity exists.