Exploring Coordinate Rigid Transformations

What are the three types of rigid transformations discussed in the video?

• Translations, Reflections, and Rotations

• Reflections, Rotations, and Dilations

• Translations, Dilations, and Reflections

• Translations, Rotations, and Shears

In a vertical translation, what happens to the y-coordinate of a point?

• It is divided by a constant

• It remains the same

• It is multiplied by a constant

• It is added or subtracted by a constant

If a point (x, y) is translated horizontally to the left by 5 units, what is the new coordinate?

• (x + 5, y)

• (x, y - 5)

• (x - 5, y)

• (x, y + 5)

What is the translation rule for a diagonal translation that moves a point (x, y) to (x + 3, y - 4)?

• x + 3, y + 4

• x - 3, y + 4

• x + 3, y - 4

• x - 3, y - 4

In a reflection over the x-axis, what happens to the y-coordinate of a point?

• It is subtracted by a constant

• It is added by a constant

• It remains the same

• It becomes the opposite sign

When reflecting a point over the line y = x, what happens to the coordinates?

• They swap places

• They both become positive

• They remain the same

• They both become negative

What is a coterminal angle?

• An angle that is always negative

• An angle that starts and ends at the same position but can go in different directions

• An angle that is always positive

• An angle that is always 90 degrees

What is the definition of a perpendicular bisector in the context of reflections?

• A line that divides a segment into three equal parts

• A line that divides a segment into two equal parts and is perpendicular to it

• A line that is at a 45-degree angle to the segment

• A line that is parallel to the segment

In a 180-degree rotation about the origin, what happens to the coordinates of a point (x, y)?

• They remain the same

• They become (-x, -y)

• They become (y, x)

• They become (-y, -x)

What is the result of a 90-degree counterclockwise rotation of the point (3, 4) about the origin?

• (4, -3)

• (-4, 3)

• (-3, -4)

• (3, -4)