On rotating the parallelogram with an angle of 180°, we can observe a coincidence between the image of parallelogram with its preimage. Hence, option (C) is correct.
The given problem is based on the fundamentals of parallelogram. A figure having four non-intersecting sides, such that each sides are opposite to each other are known as a parallelogram. For example - Rectangle, Square and Rhombus are the parallelogram.
- The meaning of Rotation is that the angle through which geometrical shape is Rotated. The Preimage and Image are Congruent after Rotation.
- It is given that ,a parallelogram rotates about its center. So, a complete revolution of parallelogram will execute an angle of 360°.
- So on Rotating the Parallelogram through Different angles that is 90°,180°,270°,and found that when the angle is 180°, the parallelogram coincide with its preimage.
Thus, we can conclude that on rotating the parallelogram with an angle of 180°, we can observe a coincidence between the image of parallelogram with its preimage.
Learn more about the parallelogram here:
brainly.com/question/9680084
Answer:
3 m/s
Explanation:
The momentum of an obejct is given by

where
m is the mass of the object
v is the velocity of the object
For the ball in this problem, we know:
is the momentum
is the mass
Therefore, we can re-arrange the equation to find v, the velocity of the ball:

Let's choose east as positive x-direction and south as positive y-direction. We can resolve the two displacement along these two axes:
- Displacement 1 (3.5 km,
south of west


- Displacement 2 (2.7 km,
east of south


So, the total components on the two directions are


And the magnitude of the hiker's resultant displacement is
