What is a line that intersects a plane in a point and is perpendicular to every line in the plane that intersects it?

What is a line that intersects a plane in a point and is perpendicular to every line in the plane that intersects it?

Line-Plane perpendicularity definition: Saying that a line is perpendicular to a plane means that the line is perpendicular to every line in the plane that passes through its foot. (A foot is the point where a line intersects a plane.)

What is the intersection of a plane and a line perpendicular to the plane?

Two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane. If a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane. If a plane intersects two parallel planes, then the intersection is two parallel lines.

What does it mean for a line to be perpendicular to a plane?

perpendicularity
A line is said to be perpendicular to a plane if it is perpendicular to every line in the plane that it intersects. This definition depends on the definition of perpendicularity between lines. Two planes in space are said to be perpendicular if the dihedral angle at which they meet is a right angle.

Which term is defined as lines in the same plane that do not intersect?

When the distance between the two lines are equal and they never intersect at any point, then they are said to be parallel lines. Hence, the answer is parallel lines.

When a plane intersects two parallel planes then the intersection is?

If a plane intersects two parallel planes, then the lines of intersection are parallel. If two planes intersect, they intersect in a line.

What is the intersection of plane and line intersecting it?

Answer: If a line and a plane intersect one another, the intersection will be a single point, or a line (if the line lies in the plane). If we want to double-check ourselves, we can plug this coordinate point back into the equation of the plane.

When the plane is perpendicular to the axis of the cone and intersects each generator?

When a plane is perpendicular to the axis of the cone, a circle is generated. When a plane is not perpendicular to the axis of the cone but does intersect one nappe of the cone, either an ellipse or a parabola is generated. An ellipse is generated when the plane is tilted so that it intersects both generator lines.

What is a line that intersects two or more lines in a plane at different points?

Definition: A transversal is a line that intersects two or more coplanar lines in different points.

What do you call a line that intersects two or more lines?

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .

What is a line perpendicular to a plane?

• Line perpendicular to a plane – A line is a line perpendicular to a plane if and only if the line intersectsthe plane in a pointand isperpendicularto every line in the planethat intersects it at that point. • Postulate – In geometry, rulesthat are accepted without proofare called postulates or axioms.

What is the intersection of a line and a plane?

Intersection of a Line and a Plane. A given line and a given plane may or may not intersect. If the line does intersect with the plane, it’s possible that the line is completely contained in the plane as well. How can we differentiate between these three possibilities?

Can a line be completely contained in a plane?

A given line and a given plane may or may not intersect. If the line does intersect with the plane, it’s possible that the line is completely contained in the plane as well. How can we differentiate between these three possibilities?

How many planes can be formed from three points?

Through any three points not on the same line, there is exactly one plane. You can use three pointsthat are not all on the same line to name a plane. • Collinear points – Collinear points are points that lie on the same line.