1. Let P(-2, -2), Q(1, -2) R(2, -4) and S(-3, -4) be the vertices of a four sided closed figure. If this figure is rotated 180° about the origin, find the vertices of the rotated figure and graph.
2. Let K(1, 4), L(-1, 2), M(1, -2) and N(3, 2) be the vertices of a four sided closed figure. If this figure is rotated 180° about the origin, find the vertices of the rotated figure and graph.
3. Let E(1, 5), F(1, 1), G(5, 1) and H(5, 5) be the vertices of a four sided closed figure. If the figure is rotated 180° about the origin, find the vertices of the rotated figure and graph.
4. Let E(5, 4), F(1, 4), G(0, 2) and H(4, 2) be the vertices of a four sided closed figure. If the figure is rotated 180° about the origin, find the vertices of the rotated figure and graph.
5. Let K(0, -4), L(4, -4), M(4, -2) and N(1, -2) be the vertices of a four sided closed figure. If this figure is rotated 180° about the origin, find the vertices of the rotated figure and graph.
1. Answer :
Step 1 :
Here, the given is rotated 180° about the origin. So, the rule that we have to apply here is
(x, y) -------> (-x, -y)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) ----> (-x, -y)
P(-2, -2) ----> P'(2, 2)
Q(1, -2) ----> Q'(-1, 2)
R(2, -4) ----> R'(-2, 4)
S(-3, -4) ----> S'(3, 4)
Step 4 :
Vertices of the rotated figure are
P'(2, 2), Q'(-1, 2), R'(-2, 4) and S'(3, 4)
2. Answer :
Step 1 :
Here, the given is rotated 180° about the origin. So, the rule that we have to apply here is
(x, y) ----> (-x, -y)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) -----> (-x, -y)
K(1, 4) ----> K'(-1, -4)
L(-1, 2) ----> L'(1, -2)
M(1, -2) ----> M'(-1, 2)
N(3, 2) ----> N'(-3, -2)
Step 4 :
Vertices of the rotated figure are
K'(-1, -4), L'(1, -2), M'(-1, 2) and N'(-3, -2)
3. Answer :
Step 1 :
Here, the given is rotated 180° about the origin. So, the rule that we have to apply here is
(x, y) ----> (-x, -y)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) ----> (-x, -y)
E(1, 5) ----> E'(-1, -5)
F(1, 1) ----> F'(-1, -1)
G(5, 1) ----> G'(-5, -1)
H( 5, 5) ----> H'(-5, -5)
Step 4 :
Vertices of the rotated figure are
E'(-1, -5), F'(-1, -1), G'(-5, -1) and H'(-5, -5)
4. Answer :
Step 1 :
Here, the given is rotated 180° about the origin. So, the rule that we have to apply here is
(x, y) ----> (-x, -y)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure
Step 3 :
(x, y) ----> (-x, -y)
E(5, 4) ----> E'(-5, -4)
F(1, 4) ----> F'(-1, -4)
G(0, 2) ----> G'(0, -2)
H(4, 2) ----> H'(-4, -2)
Step 4 :
Vertices of the rotated figure are
E'(-5, -4), F'(-1, -4), G'(0, -2) and H'(-4, -2)
5. Answer :
Step 1 :
Here, the given is rotated 180° about the origin. So, the rule that we have to apply here is
(x, y) ----> (-x, -y)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) ----> (-x , -y)
K(0, -4) ----> K'(0, 4)
L(4, -4) ----> L'(-4, 4)
M(4, -2) ----> M'(-4, 2)
N(1, -2) ----> N'(-1, 2)
Step 4 :
Vertices of the rotated figure are
K'(0, 4), L'(-4, 4), M'(-4, 2) and N'(-1, 2)
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