February 07, 2017
Warm up:
Find all of the lines of symmetry in the following
letters.
1)
2)
3)
H
T
W
February 07, 2017
HW Solutions
February 07, 2017
February 07, 2017
February 07, 2017
Person 1: x-axis
Person 2: y-axis
Person 3: y = 2
Person 4: x = -1
Step 1 Draw the x axis, y axis, and line of reflection on your graph paper.
Place the tracing paper on graph paper and trace the axes and your line of
reflection (if it is not one of the axes). Fold the tracing paper on your line of
reflection. Unfold the paper and label the halves “I” and “II”. Draw a triangle
with integer coordinates on half "I" and label it triangle DEF . Write the
coordinates of the points.
Step 2 Refold the paper. Trace the triangle on the back of half II.
Step 3 Unfold the paper and trace this triangle onto the front of half II. Label
the vertices of the last triangle D´ , E´, and F´ to correspond to the vertices of
triangle DEF.
Step 4 Place the tracing paper on the graph paper, and write the coordinates
of D´, E´, and F´.
February 07, 2017
In your new groups:
1.
Compare the distances of each vertex and its image from the
fold. What appears to be true?
2.
Describe the relationship between the coordinates of the points
of the image and pre-image.
3.
Write a rule in arrow notation for your reflection.
February 07, 2017
How can we write a rule for reflecting over the
x-axis?
February 07, 2017
How can we write a rule for reflecting over the
y-axis?
February 07, 2017
Reflect triangle ABC over the x-axis, yaxis, y=2, and x = -1.
A(2, 2)
B(3, -4)
C(-2, 5)
C
A
B
February 07, 2017
x - axis
A(2, 2)
B(3, -4)
C(-2, 5)
C
A
B
February 07, 2017
y - axis
A(2, 2)
B(3, -4)
C(-2, 5)
C
A
B
February 07, 2017
y=2
A(2, 2)
B(3, -4)
C(-2, 5)
C
A
B
February 07, 2017
x = -1
A(2, 2)
B(3, -4)
C(-2, 5)
C
A
B
February 07, 2017
Reflect MATH over the x-axis, y-axis, y = -3, and
x = 1. Perform each reflection on separate
coordinate planes.
M(1, 2)
A(3, 3)
T(7, -1)
H(2, -2)
M A
H
T
February 07, 2017
M(1, 2)
A(3, 3)
T(7, -1)
H(2, -2)
x - axis
M A
H
T
February 07, 2017
y - axis
M(1, 2)
A(3, 3)
T(7, -1)
H(2, -2)
M A
H
T
February 07, 2017
y = -3
M(1, 2)
A(3, 3)
T(7, -1)
H(2, -2)
M A
H
T
February 07, 2017
x=1
M(1, 2)
A(3, 3)
T(7, -1)
H(2, -2)
M A
H
T
February 07, 2017