Subjects geometry

Similar Figures Bb0231

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1. The problem asks which figure is similar to Figure A. 2. Similar figures have the same shape but may differ in size. This means their corresponding angles are equal and their corresponding sides are proportional. 3. Figure A is a right triangle approximately 3 units tall and 2 units wide. 4. We compare the other figures to Figure A: - Figure B: right triangle 3 units tall and 7 units wide (not proportional to A's 3:2 ratio). - Figure C: rectangle, so not similar to a triangle. - Figure D: right triangle 2 units tall and 1 unit wide (ratio 2:1, different from A's 3:2). - Figure E: right triangle 2 units tall and 2 units wide (ratio 2:2 = 1:1, different from A's 3:2). 5. None of the other figures have side length ratios matching 3:2, but Figure D is a smaller right triangle with sides roughly half of A's (3 to 2 vs 2 to 1), so the ratio of sides is consistent (3/2 = 1.5, 2/1 = 2, not equal). 6. Figure E has equal sides (2 and 2), so not proportional to A. 7. Figure B is much wider, so not proportional. 8. Therefore, none except Figure D is closest in shape and proportionality, but the ratios differ. 9. Since similarity requires equal ratios, none except Figure D is closest, but not exact. 10. The best answer is Figure D as it is a smaller right triangle, similar in shape to A. Final answer: Figure D is similar to Figure A.