In the possible diagram of the house, the lines formed by intersecting planes are; [tex] \overline{AG}[/tex], [tex]\overline{ AB}[/tex], [tex]\overline{AH}[/tex], [tex]\overline{GF}[/tex], [tex]\overline{ BH}[/tex], [tex]\overline{HF}[/tex], [tex]\overline{BC}[/tex], [tex]\overline{ HD}[/tex], and [tex]\overline{FE} [/tex]
What are the planes and the lines formed by them on the building?
The diagram found in a similar question has points A, G, B, H, and F on the roof.
The points on the walls of the house are; B, H, F, C, D, and E
A plane in Euclidean geometry is a surface that is flat, such that a line that connects two points on it lie completely on the plane.
A plane can be identified by three non collinear points that lay on it.
A line is a figure that does not have a curvature, width or depth, and it is infinitely long.
The planes on the roof are; ABH and AGHF
The planes on the walls of the house are; BCDH, and HDCF
The lines that are formed by the intersecting planes are therefore;
On the roof;
- [tex] \overline{AG}, \overline{ AB}, \overline{AH}, \: \overline{GF},[/tex]
Between the roof and the walls of the house;
- [tex]\overline{BH}, \overline{HF}[/tex]
Between the two sides of the walls;
- [tex] \overline{BC}, \overline{ HD}, \overline{FE} [/tex]
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