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On the grid below triangle MNP is plotted with vertices at M(-10,-2), N(-6,-9) and P(1,-5). The line y=-2/3x is also drawn.(a) Draw the image of triangle MNP after a reflection in y=-2/3x. Give the coordinates of the transformed vertices below.(b) Explain why triangle M'N'P' must have the same area as triangle MNP.

On The Grid Below Triangle MNP Is Plotted With Vertices At M102 N69 And P15 The Line Y23x Is Also Drawna Draw The Image Of Triangle MNP After A Reflection In Y2 class=

Answer :

We have the following:

The reflection is:

[tex]\begin{gathered} M(-10,-2)\rightarrow M^{\prime}(2,10) \\ N(-6,-9)\rightarrow N^{\prime}(9,6) \\ P(1,-5)\rightarrow P^{\prime}(5,-1) \end{gathered}[/tex]

a) The graph is:

b)

Since the sides are still the same length, for this reason keep the same area

View image ANNALYSEJ435791

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