Plane Transformation Skills

Explain the concept of line translation in plane transformation.

• Line translation involves rotating a line segment around a fixed point

• Line translation refers to changing the length of a line segment

• Line translation in plane transformation is the process of reflecting a line segment over a given line

• Line translation in plane transformation is the process of moving a line segment parallel to itself from one location to another.

What is the result of translating a point (3, 5) by a vector (2, -1)?

• (5, 4)

• (3, 3)

• (1, 4)

• (4, 6)

Describe the process of reflecting a circle in a given line.

• Draw a line tangent to the circle and reflect it across that line

• Divide the circle into equal parts and reflect each part across the line

• Reflect the circle across a line by drawing a perpendicular line through the center of the circle to the given line.

• Rotate the circle 180 degrees around a point on the line

If a circle is reflected in the x-axis, what will be the new coordinates of the center?

• (-x, y)

• (x, -y)

• (x, y)

• (-x, -y)

How does the direction of the line affect the reflection of a circle?

• The direction of the line has no impact on the reflection of the circle.

• The reflection of the circle is inverted when the line is vertical.

• The reflection of the circle is always distorted regardless of the line's direction.

• The direction of the line affects the orientation of the reflection of the circle.

Calculate the new coordinates of a point (4, -2) after reflecting it in the line y = 2.

• (6, -2)

• (4, 6)

• (2, -2)

• (4, 2)

What is the relationship between the original circle and its reflection in terms of size and shape?

• Enlarged

• Congruent

• Rotated

• Similar

Explain how to determine the equation of the line of reflection for a given circle.

• The equation of the line of reflection is determined by the radius of the circle

• The equation of the line of reflection is parallel to the line of reflection

• The equation of the line of reflection for a given circle can be determined by finding the line passing through the center of the circle and perpendicular to the line of reflection.

• The equation of the line of reflection is always vertical

If a circle is reflected in the line x = -3, what will be the new x-coordinate of the center?

• 3

• 5

• 0

• -3

What are the key differences between line translation and reflection of a circle?

• In line translation, the circle moves in a zigzag pattern, while in reflection, the circle moves in a straight line.

• In line translation, the circle changes size, while in reflection, the circle remains the same size.

• In line translation, the circle rotates around a point, while in reflection, the circle moves along a curved path.

• In line translation, the circle moves along a straight path without changing its orientation, while in reflection, the circle flips over a line, reversing its orientation.