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;

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