Answer:
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Step-by-step explanation:
It has 97 amounts.
43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60
61,62,63,64,65,66,67,68,69,70 71,72,73,74,75,76,77,78,79,80
81,82,83,84,85,86,87,88,89,90
91,92,93,94,95,96,97,98,99,100
101,102,103,104,105,106,107,108,109,110
111,112,113,114,115,116,117,118,119,120
121,122,123,124,125,126,127,128,129,
130
131,132,133,134,135,136,137,138,139
Numbers between 42-140
<u><em>Answer:</em></u>
D' ..................> (-2,2)
C'' .................> (3,-1)
A''' ................> (4,-2)
B'' .................> (4,2)
<u><em>Step-by-step explanation:</em></u>
<u>Before we begin, we should remember the rotation rules:</u>
<u>1- Rotation 90° clockwise:</u>
Coordinates (x,y) become (y,-x)
<u>2- Rotation 90° counter clockwise:</u>
Coordinates (x,y) become (-y,x)
<u>3- Rotation 180° clockwise:</u>
Coordinates (x,y) become (-x,-y)
<u>4- Rotation 270° counter clockwise:</u>
Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise
<u>Now, let's consider the given problem:</u>
<u>1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'</u>
Original coordinates of point D are (2,2)
Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)
<u>2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''</u>
Original coordinates of point C are (1,3)
Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)
<u>3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''</u>
Original coordinates of point A are (-4,2)
Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)
<u>4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''</u>
Original coordinates of point B are (-2,4)
Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)
Hope this helps :)
