The rule given below can be used to do a counterclockwise rotation of 270 degree.
Before Rotation (x, y) |
After Rotation (y, -x) |
When we rotate a figure of 270 degree counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
Problem 1 :
Let K(-4, -4), L(0, -4), M(0, -2) and N(-4, -2) be the vertices of a rectangle. If this rectangle is rotated 270° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) -----> (y, -x)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) ----> (y, -x)
K(-4, -4) ----> K'(-4, 4)
L(0, -4) ----> L'(-4, 0)
M(0, -2) ----> M'(-2, 0)
N(-4, -2) ----> N'(-2, 4)
Step 4 :
Vertices of the rotated figure are
K'(-4, 4), L'(-4, 0), M'(-2, 0) and N'(-2, 4)
Problem 2 :
Let R(-3, 5), S(-3, 1), T(0, 1), U(0, 2), V(-2, 2) and W(-2, 5) be the vertices of a closed figure. If this figure is rotated 270° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) ----> (y, -x)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) ----> (y, -x)
R(-3, 5) ----> R'(5, 3)
S(-3, 1) ----> S'(1, 3)
T(0, 1) ----> T'(1, 0)
U(0, 2) ----> U'(2, 0)
V(-2, 2) ----> V'(2, 2)
W(-2, 5) ----> W'(5, 2)
Step 4 :
Vertices of the rotated figure are
R'(5, 3), S'(1, 3), T'(1, 0), U'(2, 0), V'(2, 2) and W'(5, 2)
Problem 3 :
Let P(-1, -3), Q(3, -4), R(4, 0) and S(0, -1) be the vertices of a closed figure. If the figure is rotated 270° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) ----> (y, -x)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) ----> (y, -x)
P(-1, -3) ----> P'(-3, 1)
Q(3, -4) ----> Q'( -4, -3)
R(4, 0) ----> R'(0, -4)
S(0, -1) ----> S'(-1, 0)
Step 4 :
Vertices of the rotated figure are
P'(-3, 1), Q'(-4, -3), R'(0, -4) and S'(-1, 0)
Problem 4 :
Let T(1, -3), U(5, -5), V(3, -3) and W(5, -1) be the vertices of a closed figure. If this figure is rotated 270° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) ----> (y, -x)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x, y) ----> (y, -x)
T(1, -3) ----> T'(-3, -1)
U(5, -5) ----> U'(-5, -5)
V(3, -3) ----> V'(-3, -3)
W(5, -1) ----> W'(-1, -5)
Step 4 :
Vertices of the rotated figure are
T'(-3, -1), U'(-5, -5), V'(-3, -3) and W'(-1, -5)
Problem 5 :
Let A(-2, 4), B(2, 4), C(1, 3) D(2, 2), E(-2, 2) and F(-3, 3) be the vertices of a closed figure. If this figure is rotated 270° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) ----> (y, -x)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure
Step 3 :
(x, y) ----> (y, -x)
A(-2, 4) ----> A'(4, 2)
B( 2, 4) ----> B'(4, -2)
C(1, 3) ----> C'(3, -1)
D(2, 2) ----> D'(2, -2)
E(-2, 2) ----> E'(2, 2)
F(-3, 3) ----> F'(3, 3)
Step 4 :
Vertices of the rotated figure are
A'(4, 2), B'(4, -2), C'(3, -1), D'(2, -2), E'(2, 2), F'(3, 3)
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Aug 10, 22 10:23 PM
Aug 10, 22 10:18 PM
Aug 10, 22 10:28 AM