Question

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Triangle ABC has coordinates

A

(

1

,


4

)

;


B

(

3

,


−

2

)

;


and


C

(

4

,


2

)

.

A

(

1

,


4

)

;


B

(

3

,


-

2

)

;


and


C

(

4

,


2

)

.

Find the coordinates of the image

A

'

B

'

C

'

A

'

B

'

C

'

after a reflection over the x-axis.

Answer 1

• A'(1, -4)
• B'(3, 2)
• C'(4. -2)

Explanation:

Given

Triangle ABC with coordinates

• A(1, 4), B(3, -2), C(4, 2)

To find

• Coordinates of the image A'B'C' after a reflection over the x-axis

Solution

Rule for reflection over x-axis is

• R(x) = (x, y) → (x, -y)

The coordinates will change as follows

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