Math Problem Statement
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.
Solution
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 , 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 : This is the top face of the prism, formed by points .
- Plane : This is the bottom face of the prism, formed by points .
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 and .
Thus, the correct answer is: Option B: and .
Would you like more details or have any questions?
Here are five related questions:
- How do we determine if two planes are parallel?
- What is the definition of a prism in geometry?
- How can we visualize parallel planes in three-dimensional space?
- What properties distinguish a rectangular prism from other prisms?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Parallel Planes
Three-Dimensional Figures
Formulas
-
Theorems
Parallel Planes Theorem
Suitable Grade Level
Grades 6-8