Quadrilateral A'B'C'D'is the image of quadrilateral of ABCD under a rotation of about the origin (0,0) a. -90
b. -30
c. 30
d. 90​

The answer is option is C

Step-by-step explanation:

In this problem we have a couterclockwise about the origin

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Verify

Option D

rotation 90 degrees counterclockwise

(x,y) > (-y,x)

so,

A(-2,3) > A'(-3,-2) > is not ok

therefore, the answer is option is C

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answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,