Question

point a of a triangle is at 2, to point via that a reflection of a point across the X axle a c is 5 unit directly to the left of the point B what are the triangles Dimensions you may you wish to plot the point on your own piece of graph paper

Answer 1

From the question;

Point A is at (2,2)

Point B is the reflection of point A across the x-axis;

The rule for reflection across the x-axis is;

`(x,y)\rightarrow(x,-y)`

So, point B will be;

`A(2,2)\rightarrow B(2,-2)`

The point C is 5 units directly left of point B;

So, point C will be;

`\begin{gathered} (x,y)\rightarrow(x-5,y) \\ B(2,-2)\rightarrow C(2-5,-2) \\ B(2,-2)\rightarrow C(-3,-2) \end{gathered}`

Therefore, the coordinates of the Points A, B and C are;

`\begin{gathered} A(2,2) \\ B(2,-2) \\ C(-3,-2) \end{gathered}`

Shown as;

So, the length AB is;

`AB=2-(-2)=4`

The length BC is;