What is the distance between point G (4,2) and the line through the points E(1,-2) and F(7, -2)? help please

4 units

Step-by-step explanation:

Given

Required

Determine the distance

We need to calculate the equation of EF

But first, we calculate the slope (m)

Where

So:

The equation is then calculated as:

Where

and

So, we are to calculate the distance between point and line

The distance is calculated using:

In , we have:

A general equation has as its format

By comparison

becomes

Hence, the distance is 4 units

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.