1

2

Reflections Name: _________________________________
1.
Find the reflection of the triangle HOT over the x-axis .
Write the coordinates of H’O’T’ . Is the image similar or congruent? How do you know?
–7 –6 –5 –4 –3 –2
H
7
6
5
4
3
2
1
–1
–1
–2
–3 y
O
T
1 2 3 4 5 6 7 x
–4
–5
–6
–7
2.
Find the reflection of the quadrilateral WXYZ across the dotted line.
What is the equation of the dotted line?
Label the image
W’ X’ Y’ Z’
.
–8 –7 –6 –5 –4 –3 –2
8
7
6
5
4
3
2
1
W
–1
–1
–2
–3
–4
Z
–5
–6 y
X
1 2 3 4 5 6 7 8
Y x
–7
–8
3

3.
The table below shows the coordinates of triangle PQR .
Triangle
PQR
P (-3, 2)
Q (-3, 6)
R (-7, 7)
On the grid below, draw triangle PQR. Then graph the image of P’, Q’, and R’ after a reflection over the y-axis.
10
9
8
7
6
5
4
3
2
1 y
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–6
–7
–8
–2
–3
–4
–5
1 2 3 4 5 6 7 8 9 10 x
–9
–10
Part B
On the lines below, explain how you determined the location of R’ .
________________________________________________________________________
________________________________________________________________________
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4.
Triangle XYZ has vertices X (2, 1), Y (6,1), and Z (4, 4).
On the graph, draw the image of triangle XYZ after a translation two to the left. Label the image X’Y’Z’ y
8
7
6
5
4
–8 –7 –6 –5 –4 –3 –2
3
2
1
–1
–1
–2
–3
–4
1 2 3 4 5 6 7 8 x
–5
–6
–7
–8
Now create triangle
X”Y”Z” by reflecting triangle X’Y’Z’ over the xaxis.
What will be the coordinates of triangle
X”Y”Z”
? Is the new image similar or congruent?
5.
What is the equation of the line of reflection that would move shape 1 to match shape 2?
___________________________________
___________________________________
___________________________________
5

6.
Graph the image of Triangle LGQ after a reflection over the line x = –1.
7.
Figure BCHM has coordinates B(1, -2), C(3, -3), H(-1, -5), and M(-1, -4).
On the grid below, draw figure BCHM. Then graph the image of B’, C’, H’, and M’ after a reflection over the y-axis . y
6
5
4
8
7
3
2
1
1 2 3 4 5 6 7 8 x –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–6
–7
–8
–3
–4
–5
6

8.
Reflection across x = 2 11.
Reflection across y-axis
9.
Reflection across y = –1 12.
Reflection across x-axis
10.
Reflection across y = 3 13.
Reflection across y = –1
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