Mathematics
The point (-8, 7) is first reflected in x-axis followed by reflection in origin. The resulting point is:
(-8, -7)
(8, 7)
(8, -7)
(-8, 7)
Answer
When a point is reflected in x-axis, the sign of its y-coordinate (ordinate) changes.
Reflection of (-8, 7) in x-axis = (-8, -7).
When a point is reflected in origin, the sign of its x-coordinate(abscissa) and y-coordinate (ordinate) both changes.
Reflection of (-8, -7) in origin = (8, 7).
Hence, option 2 is the correct option.
Related Questions
The reflection of point (0, -8) in origin is:
(0, -8)
(0, 8)
(8, 8)
(-8, 0)
The point (-5, -6) is rotated about origin by 90° in the clockwise direction. The resulting part is:
(-6, 5)
(5, 6)
(0, 5)
(6, -5)
Statement 1: A point P is reflected to P' in a line L, then the line L is the right bisector of PP'.
Statement 2: A point P is reflected to P' in a line L, then the line PP' is the right bisector of L.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A) : The image of a point A(5, 6) under an anticlockwise rotation of 90°, about the origin is A'(-6, 5).
Reason (R) : When a point P is rotated through 90° clockwise direction about the origin, then abscissa of the given point becomes the ordinate with opposite sign of the resultant point and the ordinate of the given point becomes the abscissa of the resultant point.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.