Which of the following transformations has the same result as a rotation of 90 degrees clockwise?
2 answers:
Rotation of any geometrical shape by 90 degree, takes the geometrical shape to Next Quadrant.
When we rotate, a geometrical shape , the shape and size of geometrical shape after Rotation does not change.That is the two,geometrical Images (Preimage and Image), before and after Rotation are Congruent.
Now, when we reflect a Geometrical Shape along a Horizontal line,it goes into next Quadrant and when reflection takes place along Horizontal line ,then also, the two Preimage and Image are Congruent.
In both the cases ,only two Adjacent Quadrants are used.
Option B
Reflection of a horizontal line
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Answer:
-50
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8...99 - 100
just means,
1 - 2 = -1
3 - 4 = -1
5 - 6 = - 1
7 - 8 = - 1
99 - 100 = -1
basically, -1 + -1 + -1 + -1 + ....+ -1 or -1 - 1 - 1 - 1 - ... - 1
Treating Grandi's series as a divergent geometric series we may use the same algebraic methods that evaluate convergent geometric series to obtain a third value:
S = 1 − 1 − 1 + ..., so
1 − S = 1 − (1 − 1 − 1 ...) = 1 − 1 − 1 ... = S
1 - S = S
1 = 2*S
resulting in S = 1/2. The same conclusion results from calculating −S, subtracting the result from S, and solving 2S = 1
1/2 of the last term is 100 x 1/2 = 50
This because you are using 2 numbers per -1
example: 1 - 2 = -1 or 3 - 4 = -1 resulting in 50 of the -1 being subtracted