Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x-ax
is?
2 answers:
Answer:
A
Step-by-step explanation:
Transformation rule : The coordinates change by the rule when the figure rotate 90 degrees about the origin is given by
Transformation rule: When the figure reflected across x- axis then the coordinates change by the rule
The given figure cut x - axis at x=3
The coordinates (3,0).
After 90 degrees rotation about origin the coordinates becomes (0,3).
After reflection across x- axis , the coordinates becomes (0,-3).
Only in first figure, there is (0,-3) .
Hence, the option A is true.
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<u>ANSWER</u>
A. (4,12)
<u>EXPLANATION</u>
The equations are:
and
To eliminate a variable we make the coefficients of that variable the same in both equations.
It is easier to eliminate x.
We multiply the first equation by 2 to get:
We add equations (2) and (3).
Divide both sides by 23
Put x=4 into equation (1).
The solution is (4,12)