Question
△ 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.
Hint:
By congruence of triangles ,find the corresponding sides equal them .
The correct answer is: x = 4 ft and y = 5 ft
Given ,AB = 10 ft, BC = 6 ft, AC = 6 ft
PQ = 2y, QR = x + 2, RPs = 2x − 2
ΔABC ≅ ΔPQR ;
AB = PQ; BC= QR ;AC = PR (Corresponding sides of congruent triangles)
We get ,
AB = PQ 10 ft = 2y y = 5 ft
BC= QR 6 ft = x+2 x = 4 ft
AC = RP 6 ft = 2x-2 2x = 8 ft x = 4 ft
Therefore, we get x and y as 4 ft and 5 ft respectively.
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In the equation above, what is the value of s when t= -1 ?
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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:
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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