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Which shows the image of quadrilateral ABCD after the transformation R0, 90°?

On a coordinate plane, a rectangle has points A (negative 1, 0), B (0, negative 1), C (negative 2, negative 3), D (negative 3, negative 2).

On a coordinate plane, a rectangle has points A prime (0, negative 1), B prime (1, 0), C prime (3, negative 2), D prime (2, negative 3).
On a coordinate plane, a rectangle has points A prime (0, 1), B prime (0, negative 1), C prime (negative 3, 2), D prime (negative 2, 3).
On a coordinate plane, a rectangle has points A prime (0, negative 1), B prime (negative 1, 0), C prime (negative 3, negative 2), D prime (negative 2, negative 3).
On a coordinate plane, a rectangle has points A prime (1, 0), B prime (0, 1), C prime (2, 3), D prime (3, 2).

User Torkleyy
by
4.7k points

2 Answers

4 votes

Answer:

a

Explanation:

i jus took tha test

User Aiyagaze
by
4.0k points
6 votes

Answer:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

Explanation:

The coordinates of rectangle ABCD are A(-1,0), B(0,-1), C(-2,-3), (-3,-2).

The mapping for a rotation through 90° clockwise about the origin is


(x,y)\to ( - y,x)

Therefore:


A(-1,0)\to A'(0,-1)


B(0,-1)\to B'(1,0)


C(-2,-3)\to C'(3,-2)


D(-3,-2)\to D'(2,-3)

Therefore the image rectangle has coordinates:

A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)

The first choice is correct.

User Alex Wood
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4.5k points