Exploring Rigid Transformations: Translations, Reflections, and Rotations

What type of transformation maintains the congruence of figures?

• Isometry

• Similarity transformation

• Distortion

• Dilation

In a translation, how does the movement of points occur?

• Along a straight line

• In a circular path

• Randomly

• Along a curve

What does the rule 'x minus 3' signify in a translation?

• Move right 3 units

• Move left 3 units

• Move up 3 units

• Move down 3 units

How does the rule 'x + 1, y + 6' affect the position of a point in a translation?

• Move left 1 unit, up 6 units

• Move right 1 unit, down 6 units

• Move left 1 unit, down 6 units

• Move right 1 unit, up 6 units

When reflecting a point over the x-axis, what happens to the y-coordinate?

• It is divided by 2

• It is multiplied by -1

• It is squared

• It remains the same

What is the effect of reflecting over the y-axis on the x-coordinate?

• It is halved

• It is doubled

• It remains unchanged

• It is multiplied by -1

If a point is at (4, -2) before a reflection over the x-axis, where is it after the reflection?

• (4, -2)

• (-4, -2)

• (-4, 2)

• (4, 2)

What does a 180-degree rotation about the origin do to the coordinates of a point?

• Inverts the sign of both coordinates

• Doubles the coordinates

• Swaps the x and y coordinates

• Returns the same coordinates

After reflecting the point (3, 5) over the y-axis, what are the new coordinates?

• (-3, -5)

• (3, -5)

• (-3, 5)

• (3, 5)

What is the new location of a point after a 180-degree rotation if it starts at (1, -3)?

• (1, 3)

• (-1, 3)

• (-1, -3)

• (1, -3)