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Which figures are simlar? A O A C O B D and A C O B D and - F O B D and E F andA C

Which figures are simlar? A O A C O B D and A C O B D and - F O B D and E F andA C

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Which figures are similar?** In the image, there are six figures labeled A, B, C, D, E, and F. Here is a detailed description of each figure: - **Figure A**: Appears to be a cube. - **Figure B**: Appears to be a rectangle. - **Figure C**: Appears to be another cube. - **Figure D**: Appears to be another rectangle. - **Figure E**: Appears to be a right triangle. - **Figure F**: Appears to be another right triangle. Below the figures, there are four multiple-choice options to choose from regarding which set of figures are similar: 1. **( ) A ∼ C** 2. **( ) B ∼ D and A ∼ C** 3. **( ) B ∼ D and E ∼ F** 4. **( ) B ∼ D and E ∼ F and A ∼ C** When examining similarity, we look for figures that have the same shape but may differ in size. Similar figures will have corresponding angles that are equal and corresponding sides that are proportional. **Explanation of Diagrams/Graphs** - **Figures A and C**: Both appear to be cubes. Similar figures, as they share the same shape, and the angles between corresponding sides are equal. - **Figures B and D**: Both appear to be rectangles. Similar figures, as they share the same shape, and the angles between corresponding sides are equal. - **Figures E and F**: Both appear to be right triangles. Similar figures, as they share the same shape, and the angles between corresponding sides are equal. **Selection of the Correct Option** From the analysis, it's clear that: - A is similar to C. - B is similar to D. - E is similar to F. Thus, the correct answer is the fourth option: **( • ) B ∼ D and E ∼ F and A ∼ C**
Transcribed Image Text:**Which figures are similar?** In the image, there are six figures labeled A, B, C, D, E, and F. Here is a detailed description of each figure: - **Figure A**: Appears to be a cube. - **Figure B**: Appears to be a rectangle. - **Figure C**: Appears to be another cube. - **Figure D**: Appears to be another rectangle. - **Figure E**: Appears to be a right triangle. - **Figure F**: Appears to be another right triangle. Below the figures, there are four multiple-choice options to choose from regarding which set of figures are similar: 1. **( ) A ∼ C** 2. **( ) B ∼ D and A ∼ C** 3. **( ) B ∼ D and E ∼ F** 4. **( ) B ∼ D and E ∼ F and A ∼ C** When examining similarity, we look for figures that have the same shape but may differ in size. Similar figures will have corresponding angles that are equal and corresponding sides that are proportional. **Explanation of Diagrams/Graphs** - **Figures A and C**: Both appear to be cubes. Similar figures, as they share the same shape, and the angles between corresponding sides are equal. - **Figures B and D**: Both appear to be rectangles. Similar figures, as they share the same shape, and the angles between corresponding sides are equal. - **Figures E and F**: Both appear to be right triangles. Similar figures, as they share the same shape, and the angles between corresponding sides are equal. **Selection of the Correct Option** From the analysis, it's clear that: - A is similar to C. - B is similar to D. - E is similar to F. Thus, the correct answer is the fourth option: **( • ) B ∼ D and E ∼ F and A ∼ C**
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