So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter
Hope this helped!
Answer/Step-by-step explanation:
Line segment AB consists of segment AC and segment CB.
AC = 7 cm
CB = 21 cm
The entire segment, AB = 21 + 7 = 28cm
The ratio of the segments partitions can be stated as follows:
Ratio of AC to CB = AC:CB = 7:21 = 1:3 = 
AC is ¼ of AB 
CB is ¾ of AB 
Answer:
A) 32.474 + 16.577
= 49.051
C) 19.213 + 4.578
= 23.791
Step-by-step explanation:
Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.
A) 32.474 + 16.577
= 49.051
B) 23.452 + 31.561
= 55.013
C) 19.213 + 4.578
= 23.791
D) 8.128 + 9.192
= 17.32
We have to find the expression which contains 1 in the thousandths place in the sum.
We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.
Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.
