HRS - Ask. Learn. Share Knowledge. Logo

In Mathematics / High School | 2014-05-14

What is the shortest distance from a point to a line?

A) a perpendicular segment
B) a transversal
C) a parallel segment
D) an arc

Asked by kenyambenton

Answer (3)

A would be the shortest distance because your going strait to the line.

Answered by Shadowolf | 2024-06-10

Answer: The correct option is (A) a perpendicular segment.
**Step-by-step explanation: **We are given to select the correct option that is the shortest distance from a point to a line.
We know that the shortest distance from a point to a line is equal to the length of the line segment drawn from the point to the line such that it is perpendicular to the line .
So, the shortest distance is a perpendicular line segment drawn from the point to the line.
A point P and its shortest distance PC to the line AB is shown in** the attached figure. Definitely, PC will be perpendicular to AB.**
Thus, the correct option is (A).

Answered by ColinJacobus | 2024-06-12

The shortest distance from a point to a line is given by a perpendicular segment. This perpendicular segment minimizes the distance compared to any other angle connecting the point to the line. Therefore, the correct option is (A).
;

Answered by ColinJacobus | 2024-10-22

Related Questions in Mathematics

[Done] Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

[Done] Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

[Done] What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

[Done] The graph of [tex]y=\frac{5}{4} x+1[/tex] is shown below. The coordinate ([tex]0, y[/tex]) is a solution of the equation. Given the [tex]x[/tex]-value of 0, what is the value of the [tex]y[/tex]-coordinate for the coordinate ([tex]0, y[/tex])? [tex]y=[/tex] [blank]

[Done] If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]