My little sister need help with her math having to do with congruent figures and motions and she has to describe how four turns can put a figure in its original position.
To help your little sister understand how four turns can put a figure in its original position, let's break it down step by step:
1. First, explain what a turn is in terms of geometry. A turn is the action of rotating or changing the direction of a figure. It can be either clockwise or counterclockwise.
2. Next, mention that a full turn is equivalent to a 360-degree rotation. This means that if a figure undergoes a full turn, it will end up in the same position it started.
3. Now, illustrate the concept of four turns using a simple example. You can use a shape like a square or a triangle to demonstrate.
a. Start with a figure, let's say a square, in its original position.
b. Ask your sister to make a quarter turn clockwise, which means rotating the square 90 degrees to the right.
c. At this point, the figure should look different from its original position. Explain that three more turns are needed to bring it back to its starting position.
d. Ask her to make another quarter turn clockwise, so the square now rotates a total of 180 degrees from its original position.
e. Encourage her to make two more quarter turns clockwise, ensuring a total of 360 degrees of rotation. This will make the figure return to its initial orientation.
4. Summarize the process by emphasizing that four quarter turns or four 90-degree rotations in the same direction can put a figure back in its original position.
By providing a breakdown of each step, your little sister should be able to understand how four turns can bring a figure back to its starting point.