PLEASE HELP
Please help me with this assignment I got to do tomorrow!

Step-by-step explanation:

To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). Let's understand the rotation of 90 degrees clockwise about a point visually. ... Then we can join the points and find the new positioned figure.

When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.

Example 1 :  

Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. If this triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.

Solution :  

Step 1 :

Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is

(x, y) > (-y, x)

Step 2 :

Based on the rule given in step 1, we have to find the vertices of the rotated figure.

Step 3 :

(x , y) > (-y , x)

F(-4 , -2) > F'(2, -4)

G(-2, -2) > G'(2, -2)

H (-3, 1) > H'(-1, -3)

Step 4 :

Vertices of the rotated figure are        

F'(2, -4), G'(2, -2) and H'(-1, -3)  

Example 2 :  

Let A (-4, 3), B (-4, 1), C (-3, 0), D (0, 2) and E (-3,4) be the vertices of a closed figure.If this figure is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.

Solution :  

Step 1 :

Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is

(x, y) > (-y, x)

Step 2 :

Based on the rule given in step 1, we have to find the vertices of the rotated figure.

Step 3 :

(x, y) > (-y, x)

A(-4, 3) > A'( -3, -4)

B(-4, 1) > B'(-1, -4)

C(-3, 0) > C'(0, -3)

D(0, 2) > D'(-2, 0)

E(-3, 4) > E'(-4, -3)

Step 4 :

Vertices of the rotated figure are        

A'(-3, -4), B'(-1, -4), C'(0, -3), D'(-2, 0) and E'(-4, -3)

Example 3 :  

Let D (-1, 2), E (-5, -1) and F (1, -1) be the vertices of a triangle.If the triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.

Solution :  

Step 1 :

Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is

(x, y) > (-y, x)

Step 2 :

Based on the rule given in step 1, we have to find the vertices of the rotated figure.

Step 3 :

(x, y) > (-y, x)

D(-1, 2) > D'(-2, -1)

E(-5, -1) > E'(1, -5)

F(1, -1) > F'(1, 1)

Step 4 :

Vertices of the rotated figure are        

D'(-2, -1) , E'(1, -5) and F'(1, 1)

Example 4 :  

Let A (-5, 3), B (-4, 1), C (-2, 1) D (-1, 3) and E (-3,  4) be the vertices of a closed figure.If this figure is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.

Solution :  

Step 1 :

Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is

(x, y) > (-y, x)

Step 2 :

Based on the rule given in step 1, we have to find the vertices of the rotated figure.

Step 3 :

(x, y) > (-y, x)

A(-5, 3) > A'(-3, -5)

B(-4, 1) > B'(-1, -4)

C(-2, 1) > C'(-1, -2)

D(-1, 3) > D'(-3, -1)

E(-3, 4) > E'(-4, -3)

Step 4 :

Vertices of the rotated figure are        

A'(-3, -5), B'(-1, -4), C'(-1, -2), D'(-3, -1) and E'(-4, -3)  

Example 5 :  

Let R (-2, 4), S (-4, 4), T (-5, 3) U (-4, 2) and V (-2, 2) be the vertices of a closed figure.If this figure is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.

Solution :  

Step 1 :

Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is

(x, y) > (-y, x)

Step 2 :

Based on the rule given in step 1, we have to find the vertices of the rotated figure

Step 3 :

(x, y) > (-y, x)

R(-2, 4) > R'(-4, -2)

S(-4, 4) > S'(-4, -4)

T(-5, 3) > T'(-3, -5)

U(-4, 2) > U'(-2, -4)

V(-2, 2) > V'(-2, -2)

Step 4 :

Vertices of the rotated figure are        

R'(-4, -2), S'(-4, -4), T'(-3, -5), U'(-2, -4) and E'(-2, -2)  

i would need to see the dot plot : )