👤

Triangle KLM and K'L'M' are shown on the coordinate plane. Which algebraicrepresentation shows how to find the coordinates of triangle K'L'M'?

Triangle KLM And KLM Are Shown On The Coordinate Plane Which Algebraicrepresentation Shows How To Find The Coordinates Of Triangle KLM class=

Answer :

Answer::

[tex](x,y)\rightarrow(\frac{3}{2}x,\frac{3}{2}y)[/tex]

Explanation:

From the diagram, we use the point K to find the rule:

• The coordinate of point K is (2,2)

,

• The coordinate of its image K' is (3,3)

[tex]\begin{gathered} (x,y)=(2,2) \\ \text{Therefore:} \\ 2\times k=3 \\ k=\frac{3}{2} \end{gathered}[/tex]

Therefore, the algebraic expression that shows how to find the coordinate of K'L'M' is:

[tex](x,y)\rightarrow(\frac{3}{2}x,\frac{3}{2}y)[/tex]