Question

(02.03 MC) Triangle DOG was rotated to create triangle D'O'G''. Describe the transformation using details and degrees. (10 points) Triangles DOG and D prime, O prime, and G prime are shown. D is at negative 2, 1. O is at negative 3, 3. G is at 1, 1. D prime

Answer 1

Answer and Step-by-step explanation: Rotation is a "movement" of a geometric figure in order to transform one in another. In rotation, the shape and size of the figure is the same, so they are congruent.

A geometric figure can be rotated clockwise or counterclockwise and by different angles.

One way to recognized the angle of rotation is comparing the points of the figure and its rotated image.

On the figure below, triangle DOG has coordinates:

D (-2,1)

O (-3,3)

G (1,1)

And its image:

D' (2,-1)

O' (3,-3)

G' (-1,-1)

Comparing both set of coordinates, we observe:

D (-2,1) → D' (2,-1)

O (-3,3) → O' (3,-3)

G (1,1) → G' (-1,-1)

that the coordinates for ΔDOG and ΔD'O'G' are opposite to each other, i.e.:

(x, y) → (-x,-y)

rotating counterclockwise.

Since coordinates are opposite and rotation is counterclockwise, ΔD'O'G' is rotated by 180° related to ΔDOG.