Question

NO LINKS!!

Graph the polygon with the given vertices and its image after the transformations. Label all vertices in both the preimage and image using the correct notation. Part 1

1. A(1, 2), B(1, 5), C(5, 5)
Reflection: in the x-axis

2. A(4, -3), B(-1, -1), C(1,3)
Reflection: in the y-axis

3. A(2, 1), (2, -3), C(4, -2)
Refleciton: in the line y = 1

Answer 1

Question 1:

• A' = (1, -2)
• B' = (1, -5)
• C' = (5, -5)

Question 2:

• A' = (-4, -3)
• B' = (1, -1)
• C' = (-1, 3)

Question 3:

• A' = (2, 1)
• B' = (2, 5)
• C' = (4, 4)

Explanation:

Question 1

Given vertices of the pre-image:

• A = (1, 2)
• B = (1, 5)
• C = (5, 5)

If the pre-image is reflected in the x-axis, the transformation rule is:

• 
  `(x,y) \rightarrow (x, -y)`

Therefore the vertices of the image are:

• A' = (1, -2)
• B' = (1, -5)
• C' = (5, -5)

Question 2

Given vertices of the pre-image:

• A = (4, -3)
• B = (-1, -1)
• C = (1, 3)

If the pre-image is reflected in the y-axis, the transformation rule is:

• 
  `(x,y) \rightarrow (-x, y)`

Therefore the vertices of the image are:

• A' = (-4, -3)
• B' = (1, -1)
• C' = (-1, 3)

Question 3

Given vertices of the pre-image:

• A = (2, 1)
• B = (2, -3)
• C = (4, -2)

If the pre-image is reflected in the line y = 1, the transformation rule is:

• 
  `(x,y) \rightarrow (x,y+2|y-1|)`

Therefore the vertices of the image are:

• A' = (2, 1)
• B' = (2, 5)
• C' = (4, 4)

Answer 2

Given:

• Figures with shown coordinates

Graph them and transform as described.

1. A(1, 2), B(1, 5), C(5, 5)

Reflection: in the x-axis

2. A(4, -3), B(-1, -1), C(1,3)

Reflection: in the y-axis

3. A(2, 1), B(2, -3), C(4, -2)

Reflection: in the line y = 1

See attached for each. It should be self-explanatory.