Geometry Transformations Quiz

What happens to the coordinates (x, y) after a 90-degree clockwise rotation about the origin?

• (y, -x)

• (-y, x)

• (-x, -y)

• (x, y)

When reflecting a point across the line y = x, what transformation occurs to the coordinates (x, y)?

• (-y, x)

• (-x, -y)

• (x, -y)

• (y, x)

Which transformation involves flipping the coordinates (x, y) to (y, x)?

• Translation

• 180-degree rotation

• 90-degree clockwise rotation

• Reflection across y = x

What is the result of a 180-degree rotation about the origin on the coordinates (x, y)?

• (y, x)

• (x, y)

• (-x, -y)

• (-y, x)

How does reflecting a point across the line y = 2 affect its coordinates?

• The x-coordinate changes, y-coordinate remains the same

• The y-coordinate changes, x-coordinate remains the same

• Both coordinates change

• Neither coordinate changes

What is the effect of a 180-degree rotation on the point (3, 4)?

• (3, -4)

• (-4, 3)

• (-3, -4)

• (4, 3)

If a point is reflected across the line y = 2, what happens to a point originally at (5, 5)?

• (5, 2)

• (5, -1)

• (5, 9)

• (5, 5)

In a translation where points move 7 units to the right and 1 unit down, how is the point (x, y) transformed?

• (x - 1, y + 7)

• (x + 1, y - 7)

• (x + 7, y - 1)

• (x - 7, y + 1)

What is the new position of a point (x, y) after translating it 6 units to the right and 3 units down?

• (x + 6, y - 3)

• (x - 6, y + 3)

• (x - 3, y + 6)

• (x + 3, y - 6)

After translating a point 6 units right and 3 units down, what is the new position of (2, 3)?

• (8, 0)

• (2, 6)

• (5, 0)

• (8, 6)