Reflection on the Coordinate Plane

Describe the movement to superimpose one figure over the other

1. Select the shape2. From the drop down select Reflect Shape3. Select the line over which to reflect

What do you notice about the original and the reflected triangle?

A

B

C

A'

B'

C'

What happens to the coordinates of triangleABC when it is reflected over the y-axis?

Summary: Reflection over the y-axis

A'

B'

C'

A

B

C

A(3,4) A'(-3,4)B(6,2) B'(-6,2)C(6,6) C'(-6,6)

(x,y) (-x,y)

Describe the movement to superimpose one figure over the other

1. Select the shape2. From the drop down select Reflect Shape3. Select the line over which to reflect

What do you notice about the original and the reflected triangle?

B'

A'

C'

Label the image

B

C

A

Summary: Reflection over the x-axis

A(3,4) A'(3,-4)B(6,2) B'(6,-2)C(6,6) C'(6,-6)

(x,y) (x,-y)

B

C

A

A'

B'

C'

D" (____,____)

C" (____,____)

B" (____,____)

A" (____,____)

Reflect rectangle ABCD over: a) the y-axis b) the x-axis

B' (____,____)

A' (____,____)

C' (____,____)

D' (____,____)

B'

A'

C'

D'

B"

A"

C"

D"

a)

b)

C

A B

D

Use the Pen Tool to complete the coordinate pairs.Drag the letters to label each image.Touch rectangle ABCD and Reflect Shape over a) x = 0 b) y = 0

Solution

BA

D C

C"D"

B"A"

B' A'

D'C'

B" (____,____)

A" (____,____)

C" (____,____)

Reflect triangle ABC over:a) the y-axis b) the x-axis

B' (____,____)

A' (____,____)

C' (____,____)

B'

A'

C'

B"

A"

C"

a)

b)C

A

B

Use the Pen Tool to complete the coordinate pairs.Drag the letters to label each image.Touch triangle ABC and Reflect Shape over a) x = 0 b) y = 0

Solution

A"

C

A

C'

A'

B B'

B"C"

Describe the reflection