Congruence Transformations Quiz

What is the primary purpose of a congruence transformation?

• To move or change a figure while maintaining its congruence

• To alter the shape of a figure

• To change the size of a figure

• To create a new figure with different properties

Which of the following is NOT a type of congruence transformation?

• Reflection

• Rotation

• Translation

• Dilation

In a translation, what remains unchanged about the object?

• Its coordinates

• Its color

• Its size and orientation

• Its position

If a point (x, y) is translated to (x + 5, y - 2), what does this mean?

• The point moves 5 units right and 2 units down

• The point moves 5 units up and 2 units right

• The point moves 5 units down and 2 units left

• The point moves 5 units left and 2 units up

What happens to the y-coordinate of a point when it is reflected over the x-axis?

• It remains the same

• It becomes zero

• It changes sign

• It doubles

When reflecting a point over the y-axis, what change occurs to its coordinates?

• The x-coordinate changes sign

• Neither coordinate changes

• The y-coordinate changes sign

• Both coordinates change sign

What is the typical center of rotation in a rotation transformation?

• The top-left corner of the figure

• The origin

• The midpoint of the figure

• A random point

How do the coordinates of a point change when it is rotated 90° clockwise about the origin?

• The coordinates remain the same

• The x and y coordinates are swapped, and the new y-coordinate changes sign

• The x and y coordinates are swapped, and the new x-coordinate changes sign

• Both coordinates change sign

What pattern is observed in the coordinates of a point after a 180° rotation?

• Neither coordinate changes

• The x-coordinate changes sign

• Both coordinates change sign

• The y-coordinate changes sign

Which of the following angles is NOT typically used in rotation transformations?

• 90°

• 180°

• 270°

• 360°