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03.11.2020 •
Mathematics
How to write out the problem to 35x5.6=
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Ответ:
Part A: The graph of ABCD is reflected across y-axis and translate 3 units down.
Part B: The figures ABCD and A'B'C'D' are congruent.
Step-by-step explanation:
Part A:
From the given graph it is clear that the coordinates of ABCD are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).
The vertices of A'B'C'D' are A'(4,1), B'(2,-1), C'(2,-4) and D'(4,-2).
If the graph of ABCD is reflected across y-axis, then
Using this rule the vertices of ABCD after reflection across y-axis are A₁(4,4), B₁(2,2), C₁(2,-1) and D₁(4,1).
If the graph of A₁B₁C₁D₁ is translate 3 units down, then
The vertices of ABCD after reflection across y-axis and translation 3 units down.
Therefore the graph of ABCD is reflected across y-axis and translate 3 units down.
Part B:
Reflection and translation is a rigid transformation. It means the size and shape of figure remains same.
Therefore the figures ABCD and A'B'C'D' are congruent.