Advertisements
Advertisements
Question
In how many lines two distinct planes can intersect?
Advertisements
Solution
If we look at two intersecting plane, we can see that there is only one unique line at which the two planes intersect.
Therefore, two distinct planes can intersect each other at a single unique line as only a single line is common between two intersecting planes.
APPEARS IN
RELATED QUESTIONS
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
perpendicular lines
In the following figure, if AC = BD, then prove that AB = CD.
How many planes can be made to pass through a line and a point not on the line?
The number of dimensions, a solid has ______.
A pyramid is a solid figure, the base of which is ______.
Euclid belongs to the country ______.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have X and Y are the mid-points of AC and BC and AX = CY. Show that AC = BC.
Read the following two statements which are taken as axioms:
- If two lines intersect each other, then the vertically opposite angles are not equal.
- If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°.
Is this system of axioms consistent? Justify your answer.
