Question

The distance between the point (2,3) and its image with respect to the X axis is____

Answer 1

Answer:

Step-by-step explanation:

(2,-3)

Hope these will help u....

Answer 2

The Image of Point (2 , 3) with respect to X - Axis is (2 , - 3)

We can Find the Distance between (2 , 3) and its image in Two Ways.

First Approach :

From Diagram : We can Notice that Point (2 , 3) is 3 Units above the Point (2 , 0) and The Point (2 , 0) is 3 Units above the Point (2 , -3)

It Means the Distance between the Points (2 , 3) and (2 , -3) will be :

⇒ (3 + 3) = 6 Units

Second Approach :

We can Use the Distance Formula to find the Distance between the Point (2 , 3) and its Image

We know that, Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

✿  $\mathsf{\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Here : The Points are (2 , 3) and its Image (2 , -3)

⇒ x₁ = 2 and x₂ = 2 and y₁ = 3 and y₂ = -3

$\mathsf{\implies Distance\;between\;the\;Point\;(2 , 3)\;and\;(2 , -3) = \sqrt{(2 - 2)^2 + (3 + 3)^2}}$

$\mathsf{\implies Distance\;between\;the\;Point\;(2 , 3)\;and\;(2 , -3) = \sqrt{(6)^2}}$

$\mathsf{\implies Distance\;between\;the\;Point\;(2 , 3)\;and\;(2 , -3) = 6}$

The Distance between the Point (2 , 3) and its Image with respect to the X - axis is 6 units