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)

macabresubwoofer Mar 9, 2020

#1**+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

CPhill Mar 9, 2020

#2**0 **

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

macabresubwoofer
Mar 9, 2020

#3**+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)

CPhill Mar 9, 2020

#5**+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)

CPhill Mar 9, 2020