**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**

Answered: Image /qna-images/answer/b6335eca-b725-4ff5-b4bb-1cda25385f56.jpg

Answered: Which figures are simlar? A O A C O B D…

Math

Geometry

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

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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

**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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