When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure. Example 1: Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. If this triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph. Vention HDMI Adapter 270 90 Degree Right Angle HDMI Male to HDMI Female Converter for PS4 HDTV HDMI Cable 4K HDMI 2.0 Extender (1 pcs) Model #: 2005P4PART0167-dak Item #: 9SIAFZ4BC07559. Get an answer for 'Calculate sin^2 1+sin^2 2 +.+ sin^2 90.' And find homework help for other Math questions at eNotes. PhotoStitcher will automatically combine overlapping photos to produce perfect panoramic image. You just snap some overlapping images and click Stitch button. Butt Weld 316L Stainless Steel Long Radius 90 Degree Elbow (G2S76J ) at Ferguson. Nobody expects more from us than we do.
Rule :
When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.
Example 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 90° clockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° clockwise. 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)
Example 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 90° clockwise, find the vertices of the rotated figure and graph.
Solution :
Photostitcher 2 1 2 90 Degrees Celsius
Step 1 :
Here, the figure is rotated 90° clockwise. 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)
Example 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 90° clockwise, find the vertices of the rotated figure and graph.
Solution :
Here, the figure is rotated 90° clockwise. 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)
Example 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 90° clockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, the figure is rotated 90° clockwise. 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)
Photostitcher 2 1 2 90 Degrees
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)
Example 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 90° clockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, the figure is rotated 90° clockwise. 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)
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When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
Example 1 :
Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. If this triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° 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)
F(-4 , -2) -------> F'(2, -4)
G(-2, -2) -------> G'(2, -2)
H (-3, 1) -------> H'(-1, -3)
Step 4 :
Vertices of the rotated figure are
F'(2, -4), G'(2, -2) and H'(-1, -3)
Example 2 :
Let A (-4, 3), B (-4, 1), C (-3, 0), D (0, 2) and E (-3,4) be the vertices of a closed figure.If this figure is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° 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(-4, 3) -------> A'( -3, -4)
B(-4, 1) -------> B'(-1, -4)
C(-3, 0) -------> C'(0, -3)
D(0, 2) -------> D'(-2, 0)
E(-3, 4) -------> E'(-4, -3)
Step 4 :
Vertices of the rotated figure are
A'(-3, -4), B'(-1, -4), C'(0, -3), D'(-2, 0) and E'(-4, -3)
Example 3 :
Let D (-1, 2), E (-5, -1) and F (1, -1) be the vertices of a triangle.If the triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° 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)
D(-1, 2) -------> D'(-2, -1)
E(-5, -1) -------> E'(1, -5)
F(1, -1) -------> F'(1, 1)
Step 4 :
Vertices of the rotated figure are
D'(-2, -1) , E'(1, -5) and F'(1, 1)
Example 4 :
Let A (-5, 3), B (-4, 1), C (-2, 1) D (-1, 3) and E (-3, 4) be the vertices of a closed figure.If this figure is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° 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(-5, 3) -------> A'(-3, -5)
B(-4, 1) -------> B'(-1, -4)
C(-2, 1) -------> C'(-1, -2)
D(-1, 3) -------> D'(-3, -1)
E(-3, 4) -------> E'(-4, -3)
Step 4 :
Vertices of the rotated figure are
A'(-3, -5), B'(-1, -4), C'(-1, -2), D'(-3, -1) and E'(-4, -3)
Example 5 :
Let R (-2, 4), S (-4, 4), T (-5, 3) U (-4, 2) and V (-2, 2) be the vertices of a closed figure.If this figure is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° 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(-2, 4) -------> R'(-4, -2)
S(-4, 4) -------> S'(-4, -4)
T(-5, 3) -------> T'(-3, -5)
U(-4, 2) -------> U'(-2, -4)
V(-2, 2) -------> V'(-2, -2)
Step 4 :
Vertices of the rotated figure are
R'(-4, -2), S'(-4, -4), T'(-3, -5), U'(-2, -4) and E'(-2, -2)
Apart from the stuff given above, if you need any other stuff, please use our google custom search here.
If you have any feedback about our math content, please mail us :
We always appreciate your feedback.
You can also visit the following web pages on different stuff in math.
ALGEBRA COMPETITIVE EXAMS APTITUDE TESTS ONLINE ACT MATH ONLINE TEST TRANSFORMATIONS OF FUNCTIONS ORDER OF OPERATIONS WORKSHEETS | TRIGONOMETRY Trigonometric identities MENSURATION GEOMETRY ANALYTICAL GEOMETRY CALCULATORS Analytical geometry calculators MATH FOR KIDS LIFE MATHEMATICS SYMMETRY CONVERSIONS |
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Trigonometry word problems
Word problems on mixed fractrions
OTHER TOPICS
Ratio and proportion shortcuts
Converting repeating decimals in to fractions
SBI!