Math Problem Statement
Solution
You've uploaded two images. I will analyze them and provide solutions to the mathematical problems. Let me process the contents and give you detailed explanations.### Analysis of the First Image (Latihan Mandiri 3 no 2)
Problem:
The problem involves finding the intersection between the planes and in a rectangular prism.
Key Concepts:
- Planes in geometry are flat surfaces defined by three or more points.
- The intersection of two planes in a rectangular prism usually forms a line.
- The given planes:
- Plane : Defined by points .
- Plane : Defined by points .
Solution:
To determine the intersection:
- Both planes share points and .
- The line of intersection is line since it's the common edge shared by these two planes.
Final Answer: Option (a) garis QW
Analysis of the Second Image (Latihan Mandiri 3 no 3)
Problem:
We are tasked to determine which statements are correct regarding point , line , and planes and . The problem provides four statements and asks for the correct combination.
Key Information:
- is the intersection point of line and line .
- The statements involve checking whether lies on plane , plane , or both, and if lies on either plane.
Evaluation of Statements:
-
(i) Point lies on plane .
- From the diagram, is on the intersection of and , so this is true.
-
(ii) Point lies on plane .
- Same as above, is shared by
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Math Problem Analysis
Mathematical Concepts
Geometry
Planes and Lines
Intersection of Geometric Shapes
Formulas
-
Theorems
Intersection of Planes
Definition of a Line Segment
Suitable Grade Level
Grades 10-12
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