Transformaciones Geométricas

Which of the following are the three main types of geometric transformations?

• Enlargement, Reduction, Shear

• Translation, Reflection, Rotation

• Stretch, Compression, Dilation

• Skew, Warp, Twist

What properties of a figure remain unchanged during a translation?

• Shape, orientation, and size

• Position, shape, and size

• Orientation, position, and size

• Shape, position, and orientation

In a translation vector (x, y), what does a positive value for 'x' indicate?

• Movement upwards

• Movement downwards

• Movement to the left

• Movement to the right

What is the primary characteristic of a figure after undergoing a reflection?

• Its size is altered.

• It is rotated around a central point.

• It is inverted or flipped across a line.

• Its shape is distorted.

If a point (x, y) is reflected across the Y-axis, what are the coordinates of its image?

• (x, -y)

• (-x, y)

• (-x, -y)

• (y, x)

What happens to the coordinates of a point (x, y) when it is reflected across the X-axis?

• The x-coordinate changes sign.

• The y-coordinate changes sign.

• Both coordinates change sign.

• The coordinates are swapped.

Which geometric transformation involves turning a figure around a fixed point, preserving its shape and size but changing its orientation and position?

• Translation

• Reflection

• Rotation

• Dilation

If a point (x, y) is rotated 90 degrees counter-clockwise around the origin, what are the coordinates of its image?

• (-x, -y)

• (y, -x)

• (-y, x)

• (x, y)