Question
Identify the transformation and find the values of a and b.
Hint:
Mirror image of the original figure is created about axis of reflection
The correct answer is: a = - 10 and b = - 5
We know that reflection is mirror image of given point where axis of reflection act as plain mirror. Here vertical line act as axis of reflection.
When a point is reflected about y – axis, then the y – coordinate remains same, but the x – coordinate becomes negative.
It is given that (𝑥, 𝑦) → ( - 𝑥, 𝑦).
i.e. (10, - 5 ) → (- 10, - 5)
So, a = - 10 and b = - 5
Related Questions to study
What is one possible solution to the equation above?
Note:
Instead of using the quadratic formula, we could also use middle term factorization to solve the quadratic equation 
in the following way:
Thus we get values of x = 2 or 3 .
What is one possible solution to the equation above?
Note:
Instead of using the quadratic formula, we could also use middle term factorization to solve the quadratic equation
in the following way:
Thus we get values of x = 2 or 3 .
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Figure PQR has the vertices P (3, 3), Q (5, 5), R (8, 3). Find co-ordinates of its image ABC after the translation (x, y) → (x + 4, y - 4)
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Figure PQRS has the vertices P (14, 3), Q (12, 4), R (11, 3), and S (13, 2). Find co-ordinates of its image ABCD after the translation (x, y) → (x + 2, y - 5).
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△ ABC ≅△ PQR
AB = 10 ft, BC = 6 ft, AC = 6 ft
PQ = 2y, QR = x + 2, RS = 2x − 2
Find the values of x and y.
△ ABC ≅△ PQR
AB = 10 ft, BC = 6 ft, AC = 6 ft
PQ = 2y, QR = x + 2, RS = 2x − 2
Find the values of x and y.
In the equation above, what is the value of s when t= -1 ?
Note:
Instead of adding 1 on both sides, we can also understand the concept by taking _1 of the left hand side on the right hand side and then the sign changes to +1 . Similarly, instead of dividing by 2, we can understand it by saying that we take 2 from the left hand side to the right hand side, and here it becomes division.
Thus, addition becomes subtraction and vice-versa when taken from left hand side to right hand side or the opposite way; and multiplication becomes division and vice-versa. Be careful, 0 is never taken in the denominator.
In the equation above, what is the value of s when t= -1 ?
Note:
Instead of adding 1 on both sides, we can also understand the concept by taking _1 of the left hand side on the right hand side and then the sign changes to +1 . Similarly, instead of dividing by 2, we can understand it by saying that we take 2 from the left hand side to the right hand side, and here it becomes division.
Thus, addition becomes subtraction and vice-versa when taken from left hand side to right hand side or the opposite way; and multiplication becomes division and vice-versa. Be careful, 0 is never taken in the denominator.
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Note:
Another way to solve this problem is to expand or simplify the expression given in the question. Then we expand the expressions given in the options and check which one of them is equal to the one given in question.
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Which of the following is an equivalent form of the expression?
Note:
Another way to solve this problem is to expand or simplify the expression given in the question. Then we expand the expressions given in the options and check which one of them is equal to the one given in question.
We need to be careful while simplifying the expressions
