Understanding Transformations in Mathematics

Which of the following is NOT a type of transformation discussed in the lesson?

• Translation

• Reflection

• Rotation

• Scaling

What is a key characteristic of a translation in geometry?

• The figure slides without changing size or shape.

• The figure reflects over a line.

• The figure enlarges or shrinks.

• The figure rotates around a point.

What does it mean for two figures to be congruent?

• They are mirror images of each other.

• They are different sizes but the same shape.

• They have the same size and shape.

• They are the same size but different shapes.

In a translation, what is the term used for the original figure before it is moved?

• Post-image

• Reflection

• Pre-image

• Image

How do you determine the direction of movement on the x-axis during a translation?

• By rotating around a point.

• By reflecting over a line.

• By moving up or down.

• By moving left or right.

When writing a translation rule, what does a negative value for x indicate?

• Movement upwards.

• Movement to the left.

• Movement to the right.

• Movement downwards.

In the example of translating a triangle, what is the importance of labeling points with prime symbols?

• To mark the midpoint of the figure.

• To identify the center of rotation.

• To show the new position after translation.

• To indicate the original position.

What happens to the size and shape of a figure after a translation?

• The shape changes but the size remains the same.

• Both size and shape remain the same.

• The size changes but the shape remains the same.

• Both size and shape change.

If a triangle is translated 4 units right and 3 units down, what is the algebraic representation of this translation?

• x + 3, y - 4

• x - 3, y + 4

• x + 4, y - 3

• x - 4, y + 3

What is the result of a translation on a coordinate plane?

• A figure with a different shape.

• A congruent figure in a new position.

• A reflected figure.

• A rotated figure.