85/ 100
Excellent work!
You have a strong grasp of spatial reasoning, but review the 'Parallel Planes' section.
TIME TAKEN
42:15
QUESTIONS
25/25
ACCURACY
88%
Performance by Topic
Lines & Angles100%
Polygons90%
3D Geometry70%
Question Matrix
Current Question Topic
74%Plane Geometry
Question 04 • Incorrect
Difficulty: Advanced • Topic: Spatial Intersections
Identify the set of all points common to planes $\mathcal{P}$ and $\mathcal{R}$ in the provided three-dimensional projection.
Step-by-Step Analysis
The intersection of two distinct planes in Euclidean three-dimensional space is always a single straight line. In the figure, Plane $\mathcal{P}$ (green) and Plane $\mathcal{R}$ (teal) intersect along the vector defined between vertices $B$ and $C$.
Principle Review
"If two distinct planes intersect, then their intersection is exactly one line." — Postulate 3 of Euclidean Geometry.
Point B
Incorrect Choice
Line BC
Target Solution
Time Spent02:45 vs 01:15 avg