Prepare for the Praxis Pennsylvania Grades 4–8 Core Assessment. Study using flashcards and multiple choice questions, each with hints and explanations. Success awaits!

Multiple Choice

In a 90-degree rotation, how many quadrants does a shape move?

A 90-degree rotation moves a shape through one quadrant of the Cartesian coordinate system, which is divided into four quadrants. To visualize this, consider a point located in the first quadrant. When it undergoes a 90-degree rotation counterclockwise about the origin, it moves directly to the second quadrant. Thus, only one quadrant is crossed during this rotation. The quadrants can be identified as follows: - The first quadrant is where both x and y coordinates are positive. - The second quadrant is where the x coordinate is negative and the y coordinate is positive. - The third quadrant is where both coordinates are negative. - The fourth quadrant is where the x coordinate is positive and the y coordinate is negative. Since a 90-degree rotation only transitions the shape from its original position to the next quadrant without crossing into additional quadrants, it is accurate to say the shape moves through one quadrant.

A 90-degree rotation moves a shape through one quadrant of the Cartesian coordinate system, which is divided into four quadrants. To visualize this, consider a point located in the first quadrant. When it undergoes a 90-degree rotation counterclockwise about the origin, it moves directly to the second quadrant. Thus, only one quadrant is crossed during this rotation.

The quadrants can be identified as follows:

  • The first quadrant is where both x and y coordinates are positive.

  • The second quadrant is where the x coordinate is negative and the y coordinate is positive.

  • The third quadrant is where both coordinates are negative.

  • The fourth quadrant is where the x coordinate is positive and the y coordinate is negative.

Since a 90-degree rotation only transitions the shape from its original position to the next quadrant without crossing into additional quadrants, it is accurate to say the shape moves through one quadrant.