Exploring Transformational Geometry: Translations, Rotations, and Reflections

What is the first step in performing a translation of a geometric figure?

• Translate each point individually according to specific criteria.

• Draw a new figure from memory.

• Use a computer program to automatically translate.

• Move the entire shape at once.

How many spaces right and down is point A moved during the translation?

• 3 right, 2 down.

• 1 right, 4 down.

• 2 right, 3 down.

• 4 right, 1 down.

How is a reflection line denoted in transformational geometry?

• Using a regular lowercase 'l'.

• With a dotted line.

• With a cursive 'L'.

• Marked with an 'R'.

What is the result of reflecting a point one block above the reflection line?

• One block to the right of the line.

• One block below the line.

• Two blocks above the line.

• Remains in the same position.

What is the purpose of using a cursive 'L' for the reflection line?

• It's a traditional method with no specific reason.

• To indicate a longer line.

• Because it's easier to draw.

• To differentiate it from the number one.

What is essential for performing a rotation in transformational geometry?

• A protractor.

• A compass.

• A ruler.

• Tracing paper.

What does the 'about' term indicate in rotational instructions?

• The shape being rotated.

• The direction of the rotation.

• The degree of the rotation.

• The center point of the rotation.

After rotating a figure 90 degrees clockwise, where does point A move?

• 7 right, 7 up.

• 7 left, 7 down.

• 6 right, 6 down.

• 5 right, 5 up.

Which method does not require lifting the paper to determine the new position of points after rotation?

• Estimating the positions visually.

• Using a computer program.

• Drawing freehand.

• Writing the coordinates directly onto the original sheet.

Which of the following is not a step in performing a rotation without tracing paper?

• Using a ruler to measure distances from the center.

• Counting blocks to determine new positions.

• Drawing a cross around the center of rotation.

• Rotating the actual figure instead of points.