Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Tags

CCSS.HSG.CO.B.6

Front

What happens to the coordinates of a point when it is reflected over the X-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If the point (3, 4) is reflected over the X-axis, what are the new coordinates?

Back

(3, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (-5, 2) over the X-axis?

Back

(-5, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to translate a point in the coordinate plane?

Back

To translate a point means to move it a certain distance in a specified direction without changing its orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (x, y) is translated 3 units to the right and 2 units up, what are the new coordinates?

Back

(x+3, y+2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Tags

CCSS.8.G.A.2

Front

When a triangle is rotated 90 degrees clockwise about the origin, how do the coordinates of a point (x, y) change?

Back

The new coordinates become (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating the point (1, 2) 90 degrees clockwise about the origin?

Back

(2, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5