Learn around the rules for 180 level rotation inanticlockwise or clockwise direction about the origin.
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Howdo you revolve a number 180 levels in anticlockwise or clockwise direction top top agraph?
Rotation that a point through 180°, about the origin when apoint M (h, k) is rotated about the beginning O v 180° in anticlockwise orclockwise direction, that takes the new position M" (h, k).
Workedout examples on 180 level rotation about the origin:
1. Find the coordinates the the points acquired on rotating the point out given below through 180° about the origin.
(i) A (3, 5)
(ii) B (2, 7)
(iii) C (5, 8)
(iv) D (9, 4)
Solution:
When rotated with 180° anticlockwise or clockwise aboutthe origin, the new position the the over points is.
(i) The new position the the suggest A (3, 5) will be A" (3, 5)
(ii) The new position of the point B (2, 7) will be B" (2, 7)
(iii) The new position of the point C (5, 8) will be C" (5,8)
(iv) The brandnew position of the point D (9, 4) will certainly be D" (9,4)
2. Plot the pointM (1, 4) ~ above the graph document and revolve it v 180° in the anticlockwisedirection about the beginning O. Uncover the brandnew position of M.
Solution:
When rotated v 180° in the anticlockwise directionabout the beginning O, climate M (1, 4) → M"" (1, 4).
3. attract a linesegment involvement the suggest P (3, 1) and also Q (2, 3) top top the graph paper and rotateit through 180° about the beginning in anticlockwise direction.
Solution:
On plotting the points ns (3, 1) and Q (2, 3) on the graph file to acquire the heat segment PQ.
Now turn PQ with 180° about the origin O in anticlockwise direction, the brandnew position of clues P and also Q is:
P (3, 1) → P" (3, 1)
Q (2, 3) → Q" (2, 3)
Thus, the new position of heat segment PQ is P"Q".
4. draw a linesegment MN authorized the suggest M (2, 3) and also N (1, 4) on the graph paper. Rotateit v 180° in anticlockwise direction.
Solution:
On plotting the point out M (2, 3) and also N (1, 4) ~ above the graphpaper to get the heat segment MN.
Now, rotating MN v 180° around the origin O inanticlockwise direction, the brandnew position of point out M and also N is:
M (2, 3) → M" (2, 3)
N (1, 4) → N" (1, 4)
Thus, the brandnew position of line segment MN is M"N".
5. draw atriangle PQR by joining the points ns (1, 4), Q (3, 1), R (2, 1) on the graphpaper. Now rotate the triangle formed around the origin through 180° inclockwise direction.
Solution:
We get triangle PQR by plotting the allude P (1, 4), Q (3,1), R (2, 1) ~ above the graph record when rotated with 180° around the origin. Thenew position of the suggest is:
P (1, 4) → P" (1, 4)
Q (3, 1) → Q" (3, 1)
R (2, 1) → R" (2, 1)
Thus, the brandnew position the ∆PQR is ∆P’Q’R’.
● Related principles
● lines of Symmetry
● allude Symmetry
● Rotational the opposite
● bespeak of Rotational Symmetry
● species of the contrary
● Reflection
● reflection of a suggest in xaxis
● enjoy of a allude in yaxis
● reflection of a suggest in beginning
● Rotation
● 90 degree Clockwise Rotation
● 90 degree Anticlockwise Rotation
7th Grade mathematics Problems8th Grade mathematics PracticeFrom 180 degree Rotation to residence PAGE
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