Question

To sketch:The graph from the points and verify that the dilation is a similarity transformation. Given information: A(-3,1),B(9,7),C(3,2),D(-1,1)E(3,3),F(1,0).

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asked 2020-12-17
To sketch:The graph from the points and verify that the dilation is a similarity transformation.
Given information:
A(-3,1),B(9,7),C(3,2),D(-1,1)E(3,3),F(1,0).

Answers (1)

2020-12-18

Graph,
Consider the given points A(-3,1),B(9,7),C(3,2),D(-1,1)E(3,3),F(1,0).
Now, draw the graph.
image
Interpretation:
From the figure there are two triangles \(\displaystyle\triangle{A}{B}{C}{\quad\text{and}\quad}\triangle{E}{D}{F}\).
Now,
\(\displaystyle\frac{{{A}{B}}}{{{D}{E}}}=\frac{{{B}{C}}}{{{E}{F}}}=\frac{{{A}{C}}}{{{D}{F}}}=\frac{{3}}{{1}}\)
Thus, by SSS similarity theorem triangles are similar.

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