Studying a
Reflection
Create a reflection
• Place the Communicator®
on top of the B
Transformation Grid and
Chart template C
• Locate the three vertices: A
A(1,0), B(2, 3), and A
C(4, 2). C
• Draw the line segments
between these points to B
create a triangle.
• Reflect the triangle over
the x-axis. You may flip
the communicator to help
you perform this
reflection.
Create a reflection
• Read the coordinates for
the reflected triangle and B
record them in the chart.
• Record the coordinates for C
the original figure and the A
transformed figure in the A
chart. C
• Study the coordinates and
describe how the which B
coordinates are staying the
same and which are
changing.
• If (7,8) were a point on the
original picture, what would
it be after it was reflected
over the x-axis?
Create a reflection
• Complete the following
statement: When a figure is
B
reflected over the x-axis the
__________ coordinates do C
not change, but the ______
coordinates do change. A
A
• Complete this statement: If a
figure is reflected over the x- C
axis then only the _______ B
coordinate changes.
Create a reflection
• Write a description on how
the coordinates are B
changing if the figure is
reflected over the x-axis. C
(x, y)=> (___,___) A
• Explain why this A
transformation makes C
sense.
B
Create a reflection
• Place the Communicator®
B
on top of the
Transformation Grid and C
Chart template
A
• Locate the three vertices:
A(-4,1), B(-3, 4), and
C(-1, 3). A
• Draw the line segments C
between these points to
create a triangle. B
• Reflect the triangle over
the x-axis. You may flip
the communicator to help
you perform this
reflection.
Create a reflection
• Read the coordinates for the B
reflected triangle and record
them in the chart. C
• Study the coordinates and A
describe how the which
coordinates are staying the
same and which are
changing. A
• If (-7,4) were a point on the C
original picture, what would it
be after it was reflected over B
the x-axis?
Create a reflection
• Complete the following B
statement: When a figure is
reflected over the x-axis the C
__________ coordinates do
not change, but the ______ A
coordinates do change.
• Complete this statement: If a
figure is reflected over the x- A
axis then only the _______ C
coordinate changes.
B
Create a reflection
• Write a description on how B
the coordinates are C
changing if the figure is
A
reflected over the x-axis.
(x, y)=> (___,___)
• Explain why this A
transformation makes C
sense. B
Create a reflection
• Place the
Communicator® on top B B
of the Transformation
Grid and Chart template C C
A A
• Locate the three
vertices: A(-3, 1),
B(-4,3), and C(-1, 2).
• Reflect this figure over
the y-axis. You may flip
the communicator to
help you perform this
reflection.
Create a reflection
• Study the transformation at the
right. The green triangle is the
original. The red triangle is the B B
transformed triangle.
C C
• Record the coordinates for the
original figure and the A A
transformed figure in the chart.
• Study the coordinates and
describe how the which
coordinates are staying the
same and which are changing.
• If (2,1) were a point on the
original picture, what would it
be after it was reflected over
the y-axis?
Create a reflection
• Complete the following
statement: When a B B
figure is reflected over
the y-axis the C C
__________ coordinates A A
do not change, but the
______ coordinates do
change.
• Complete this statement:
If a figure is reflected
over the y-axis then only
the _______ coordinate
changes.
Create a reflection
• Write a description on
how the coordinates are B B
changing if the figure is
reflected over the y-axis. C C
(x, y)=> (___,___) A A
• Explain why this
transformation makes
sense.
Create a double reflection
• Place the Communicator®
on top of the B B
Transformation Grid and
Chart template CC
• Locate the three vertices: A A
A(-4,-1), B(-3, -4), and
C(-1, -3).
• Draw the line segments
A
between these points to C
create a triangle.
• Reflect the triangle over
B
the x-axis. You may flip
the communicator to help
you perform this
reflection.
• Then reflect the image
over the y-axis.
Create a reflection
• Study the transformation at the B
right. The green triangle is the B
original. The red triangle is the C
C
transformed triangle.
• Record the coordinates for the A A
original figure and the
transformed figure in the chart.
• Study the coordinates and A
describe how the which
coordinates are staying the C
same and which are changing.
• If (2,1) were a point on the
B
original picture, what would it
be after it was reflected over
the x-axis and then over the y-
axis?
Create a reflection
• Complete the following B B
statement: When a
C
figure is reflected over C
the x-axis and then over A A
the y-axis __________
coordinates change.
• Complete this statement:
A
If a figure is reflected C
over the x-axis and then
over the y-axis …
B
Create a reflection
• Write a description on B B
how the coordinates CC
are changing if the A A
figure is reflected over
the x-axis first and A
then over the y-axis. C
(x, y)=> (___,___) B
• Explain why this
transformation makes
sense.
Create a reflection
• If the blue triangle is a B B
reflection of the red C C
triangle, what type of
A A
reflection took place?
• If (-3,1) is on the red
triangle what is the
corresponding point on
the blue triangle?
• Complete the statement:
(x,y)=>(___,___) for this
reflection.
Create a reflection
• If the blue triangle is a B
reflection of the green C
triangle, what type of
A
reflection took place?
• If (5,1) is on the red A
triangle what is the
corresponding point on
C
the blue triangle? B
• Complete the statement:
(x,y)=>(___,___) for this
reflection.