Question

22 Points!! I NEED Help ASAP plz!!!!

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 1, negative 3 and vertex O on ordered pair 5, 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 1 and O prime on negative 4, negative 5. What set of transformations is performed on LMNO to form L'M'N'O'?

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

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

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

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

Answer 1

yup b

Explanation:

Answer 2

The correct option is B.

Explanation:

The vertices of preimage are L(2,-2), M(4,-2), N(1,-3) and O(5,-3).

The vertices of image are L'(-3,-2), M'(-3,-4), N'(-4,-1) and O'(-4,-5).

The relationship between preimage and image is defined as

`(x,y)\rightarrow (y-1,-x)`

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

If a figure rotated 90-degree counterclockwise, then

`(x,y)\rightarrow (-y,-x)`

Translation 1 unit to the left,

`(x,y)\rightarrow (-y-1,-x)`

Therefore option A is incorrect.

In option B, 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left.

`(x,y)\rightarrow (y-1,-x)`

Therefore option B is correct.

In option C, a translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin.

`(x,y)\rightarrow (y,-(x-1))`

Therefore option C is incorrect.

In option D, a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin.

`(x,y)\rightarrow (-y,x-1)`

Therefore option D is incorrect.