Exploring Translations and Reflections in Geometry

What does the term 'composition of transformations' refer to?

• Combining two or more transformations

• A type of transformation that can only be reversed

• A single transformation applied multiple times

• A mathematical formula for transformations

What is the result of reflecting an object over the y-axis and then translating it 8 units down?

• The object is flipped and moved down

• The object remains on the y-axis but moves down

• The object moves to the right and down

• The object moves to the left and down

What does reflecting an object over the x-axis involve?

• Shifting it vertically

• Rotating it 90 degrees

• Flipping it upside down

• Moving it left or right

Does the order of applying a reflection and a translation affect the final position of a shape?

• Yes, the final position is different

• No, the final position remains the same

• It depends on the type of shape

• Only if the reflection is over the y-axis

What happens to a shape when it is reflected over the x-axis?

• It changes color

• It moves to the opposite side of the x-axis

• It becomes larger

• It rotates around the x-axis

What transformation is applied first when the final image matches the initial one after reversing the steps?

• Scaling

• Reflection

• Rotation

• Translation

What is the result of translating a point 4 units to the right on the x-axis?

• The y-coordinate increases by 4

• The y-coordinate decreases by 4

• The x-coordinate decreases by 4

• The x-coordinate increases by 4

In a composition of transformations, if you first translate an object and then reflect it, will the final shape be the same as reversing these steps?

• Sometimes, depending on the transformations

• Sometimes, depending on the shape

• Never

• Always

How can you verify the correctness of a transformation on a graph?

• By using a protractor

• By checking the coordinates

• By counting the grid squares

• By measuring the distance moved

If a point on a graph moves from (2, 4) to (-3, 6), what is the horizontal shift?

• 1 unit left

• 5 units right

• 5 units left

• 1 unit right