Question

HELP ASAP PLSSSSSS

(image of grid below
Polygons LMNO and L′M′N′O′ are shown on the following coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon LMNO is shown with vertex L on ordered pair 2, negative 2, vertex M on ordered pair 4, negative 2, vertex N on ordered pair 5, negative 3 and vertex O on ordered pair 1, negative 3. A polygon L prime, M prime N prime O prime with vertex L prime on ordered pair negative 3, negative 2, M prime on negative 3, negative 4, N prime on negative 4, negative 5 and O prime on negative 4, negative 1.

What set of transformations is performed on LMNO to form L′M′N′O′?

A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin

A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin

Answer 1

Take coordinate of L and L'

• L=(2,-2)
• L'=(-3,-2)

Rules

90° counterclockwise rotation

• (x,y)=(-y,x)

270° counterclockwise rotation

• (x,y)=(y,-x)

Check first 90°

• (2,-2)=(-2,-2)

Now

translate 1 units left

• (-2-1,-2)=(-3,-2)

yes satisfied

Option A