+0  
 
0
79
8
avatar+1685 

Calculate the distance between the points (1,5) and (2,-3). Round your answer to the nearest tenth.

 

A. 8.3

B. 65.0

C. 31.4

D. 8.1

 

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point B is located at (-1,4), then name the coordinates of B’.

 

 

A. (-2,1)

B. (-1,-2)

C. (4,1)

D. (1,2)

 

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point C is located at (-3,4), then name the coordinates of C’.


A. (6,1)


B. (4,3)


C. (-1,-2)


D. (1,2)

 

 

What would be the coordinates of the image of (10,-4) rotated clockwise about the origin through a 90-degree angle?

 

A. (1, 2)

B. (6,1)

C. (-4, -10)

D. (-2,1)

 Mar 9, 2020
edited by macabresubwoofer  Mar 9, 2020
 #1
avatar+109561 
+1

D  =   sqrt  [ difference  in x coordinates ^2  +  difference in y coordinates^2 ]

 

So

 

D   =  sqrt   [( 1 - 2)^2  +  ( -3 - 5)^2 ]   =   sqrt [ (-1)^2  + (-8)^2  ]

 

I leave you to calculate  this.....I'll check your answer  if you want

 

 

cool cool cool

 Mar 9, 2020
 #2
avatar+1685 
0

IS IT D ? also could you check the questions i asked earlier and i just posted

macabresubwoofer  Mar 9, 2020
 #4
avatar+109561 
+1

Not D

 

square ( - 1  )

 

square (-8 )

 

Add these

 

Take the sqrt  of the result

 

 

cool cool cool

CPhill  Mar 9, 2020
 #6
avatar+1685 
0

it is -9

macabresubwoofer  Mar 10, 2020
 #7
avatar+1685 
0

It's 65

 

The closest to B

macabresubwoofer  Mar 10, 2020
edited by macabresubwoofer  Mar 10, 2020
 #8
avatar+109561 
+2

CORRECT   !!!

 

cool cool cool

CPhill  Mar 10, 2020
 #3
avatar+109561 
+3

The rule  for a 90° clockwise rotation  is

 

(x, y)  ⇒  (y ,- x)

 

In other words .....  the original  y  becomes the new x  and  the the original x  becomes  the new y with a sign change

 

So

 

(10, - 4) ⇒  ( -4, -10)

 

 

cool cool cool

 Mar 9, 2020
 #5
avatar+109561 
+2

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point B is located at (-1,4), then name the coordinates of B’.

 

See  the  other  question  for  a  90°  rotation (clockwise  ??? )

 

If  clockwise....we  have

 

(-1, 4)  ⇒  ( 4, 1) 

 

 

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point C is located at (-3,4), then name the coordinates of C’.

 

(-3, 4) ⇒  (4  ,3)

 

 

cool cool cool

 Mar 9, 2020

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