ABCD is a rhombus. explain why ABC is congruent to CDA
2 answers:
Solution:
Given: ABCD is a Rhombus
To Prove: ΔABC≅ΔCDA
Construction: Join AC as diagonal.
Proof: ABCD is Rhombus whose sides are equal and diagonal are perpendicular bisectors. Please see attach figure.
In ΔABC and ΔCDA
AB=CD (Side of same Rhombus)
BC=DA (Side of same Rhombus)
AC=CA (Common Side of both triangle)
Therefore, ΔABC≅ΔCDA by SSS property of congruence.
Hence Proved, ΔABC≅ΔCDA
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Answer: Option C
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If the graph moves vertically upwards.
If the graph moves vertically down
In this problem we have the function and our parent function is
therefore it is true that
Therefore the graph of is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"