Rotating Points and Quadrants

Front

What are the four quadrants in a Cartesian coordinate system?

Back

Quadrant I: (+, +), Quadrant II: (-, +), Quadrant III: (-, -), Quadrant IV: (+, -)

Tags

CCSS.6.NS.C.6B

Front

How do you determine the quadrant of a point (x, y)?

Back

If x > 0 and y > 0, it's in Quadrant I; if x < 0 and y > 0, it's in Quadrant II; if x < 0 and y < 0, it's in Quadrant III; if x > 0 and y < 0, it's in Quadrant IV.

Tags

CCSS.6.NS.C.6B

Front

What is the rule for rotating a point 90 degrees counterclockwise around the origin?

Back

(x, y) -> (-y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point 90 degrees clockwise around the origin?

Back

(x, y) -> (y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point 180 degrees around the origin?

Back

(x, y) -> (-x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (a, b) is rotated 90 degrees counterclockwise, what will be its new coordinates?

Back

(-b, a)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (a, b) is rotated 90 degrees clockwise, what will be its new coordinates?

Back

(b, -a)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is rotated 180 degrees?

Back

The coordinates change from (x, y) to (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of rotating a point around the origin?

Back

The point's position changes based on the angle of rotation, but its distance from the origin remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you identify the new position of a triangle after a rotation?

Back

By applying the rotation rules to each vertex of the triangle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5