https://file.aiquickdraw.com/mathbot/file/1727979331755t6joer2w.jpg

The question asks to identify a pair of parallel planes in the figure shown. Let's break down the geometric configuration of the given prism.

- The prism is defined by points \( A, B, C, D, E, F, G, H \), forming various faces (planes). 
- Planes that are parallel to each other must have the same orientation and not intersect each other.

### Analyzing the Planes:

- **Plane \( ABCD \)**: This is the top face of the prism, formed by points \( A, B, C, D \).
- **Plane \( EFGH \)**: This is the bottom face of the prism, formed by points \( E, F, G, H \).

Since both planes are horizontal and situated at different levels (top and bottom), these two planes are parallel to each other.

### Answer:
The pair of parallel planes in this figure is **\( ABCD \) and \( EFGH \)**.

Thus, the correct answer is:
**Option B: \( ABCD \) and \( EFGH \)**.

Would you like more details or have any questions?

Here are five related questions:
1. How do we determine if two planes are parallel?
2. What is the definition of a prism in geometry?
3. How can we visualize parallel planes in three-dimensional space?
4. What properties distinguish a rectangular prism from other prisms?
5. Can two planes be perpendicular? If yes, how can we determine that?

**Tip:** In geometry, parallel planes have no points of intersection and remain equidistant from each other at all times.

Identify a pair of parallel planes using the figure shown. Assume lines and planes that appear to be parallel or perpendicular are parallel or perpendicular, respectively.

Learn how to identify parallel planes in a rectangular prism using points ABCD and EFGH. This geometry problem covers concepts like parallel planes and three-dimensional figures, suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation