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Bayangan segitiga ABC dengan koordinat A(-3, 2), B(-2,2) dan C(2,2) ditranslasikan terhadap T[3, -4], kemudian direfleksikan terhadap sumbu x adalah....
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Answer
Step-by-step solution
2 stepsTo find the final coordinates of the triangle ABC after the given transformations, we will perform the transformations step-by-step.
The initial coordinates of the triangle are:
Perform the translation.
The triangle is translated by the vector .
A translation of a point by a vector results in the point .Applying the translation to each vertex:
For point :
For point :
For point :
So, after the translation, the coordinates are , , and .
Perform the reflection across the x-axis.
The translated triangle is then reflected across the x-axis.
A reflection of a point across the x-axis results in the point .Applying the reflection to the translated vertices:
For point :
For point :
For point :
The final coordinates of the image of triangle ABC are , , and .
Comparing these coordinates with the given options:
a. dan
b. dan
c. dan
d. dan
e. danThe calculated final coordinates match option c.
The final answer is .
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