Quadrilateral ABCD has vertices A(−5,8),B(−3,10),C(1,6) and D(−3,5). Identify the coordinates of the vertices of the image of ABCD after a 180∘ rotation about the origin.

Step-by-step explanation:

Coordinates of the vertices of quadrilateral ABCD are,

A(-5, 8), B(-3, 10), C(1, 6) and D(-3, 5)

Rule for the rotation of point (x, y) by 180° about the origin is,

(x, y) → (-x, -y)

By applying this rule image of ABCD will be,

A(-5, 8) → A'(5, -8)

B(-3, 10) → B'(3, -10)

C(1, 6) → C'(-1, -6)

D(-3, 5) → D'(3, -5)

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!