Q. 2 - Geometry

Question

2. Which of the following points lie on a horizontal line through C?

(2, 4) (2, -4) (0, 4)

(4, 3) (15, 4) (-4, 3)

Step-by-Step Solution

Answer

The points that are on a horizontal line through C are $\left(2,4\right),\left(0,4\right)\text{ and }\left(15,4\right)$.

Step-1 – Given

The given points are

$\begin{array}{l}\left(2,4\right)\left(2,-4\right)\left(0,4\right)\\ \left(4,3\right)\left(15,4\right)\left(-4,3\right)\end{array}$

Step-2 – To determine

We have to find which points lie on a horizontal line through C.

Step-3 – Explanation

The coordinate of C is (-4, 4).

So, the y coordinate of point C = 4.

 

For a horizontal line the y coordinates of the points will be the same. 

Other points with a y coordinate of 4 are $\left(2,4\right),\left(0,4\right)\text{ and }\left(15,4\right)$ .

 

So, the points that are on a horizontal line through C are$\left(2,4\right),\left(0,4\right)\text{ and }\left(15,4\right)$ .