Question

match the items. a transformation that moves every point on a figure a given distance in a given direction. the position of a figure after a transformation. a change in the position and/or size of a figure or graph. a transformation creating a mirror image of a figure or graph on the opposite side of a line. a transformation in which the size of a figure or graph changes, but the shape of the figure or graph stays the same.

Explanation:

1. First item: "A transformation that moves every point on a figure a given distance in a given direction."

• Explanation: The definition matches "Translation" (moving a figure without rotation/reflection, just distance and direction).
• Answer: Translation

2. Second item: "The position of a figure after a transformation."

• Explanation: The term for the figure after transformation is "Image".
• Answer: Image

3. Third item: "A change in the position and/or size of a figure or graph."

• Explanation: This is the general definition of "Transformation" (any change in position/size/shape of a figure/graph).
• Answer: Transformation

4. Fourth item: "A transformation creating a mirror image of a figure or graph on the opposite side of a line"

• Explanation: This is the definition of "Reflection" (mirror image over a line).
• Answer: Reflection (already correctly selected)

5. Fifth item: "A transformation in which the size of a figure or graph changes, but the shape of the figure or graph stays the same."

• Explanation: This is the definition of "Stretch" (or dilation, but "Stretch" fits as it changes size while preserving shape).
• Answer: Stretch

So the matches are:

1. A transformation that moves every point on a figure a given distance in a given direction. → Translation
2. The position of a figure after a transformation. → Image
3. A change in the position and/or size of a figure or graph. → Transformation
4. A transformation creating a mirror image of a figure or graph on the opposite side of a line → Reflection
5. A transformation in which the size of a figure or graph changes, but the shape of the figure or graph stays the same. → Stretch

Answer:

1. First item: "A transformation that moves every point on a figure a given distance in a given direction."

• Explanation: The definition matches "Translation" (moving a figure without rotation/reflection, just distance and direction).
• Answer: Translation

2. Second item: "The position of a figure after a transformation."

• Explanation: The term for the figure after transformation is "Image".
• Answer: Image

3. Third item: "A change in the position and/or size of a figure or graph."

• Explanation: This is the general definition of "Transformation" (any change in position/size/shape of a figure/graph).
• Answer: Transformation

4. Fourth item: "A transformation creating a mirror image of a figure or graph on the opposite side of a line"

• Explanation: This is the definition of "Reflection" (mirror image over a line).
• Answer: Reflection (already correctly selected)

5. Fifth item: "A transformation in which the size of a figure or graph changes, but the shape of the figure or graph stays the same."

• Explanation: This is the definition of "Stretch" (or dilation, but "Stretch" fits as it changes size while preserving shape).
• Answer: Stretch

So the matches are:

1. A transformation that moves every point on a figure a given distance in a given direction. → Translation
2. The position of a figure after a transformation. → Image
3. A change in the position and/or size of a figure or graph. → Transformation
4. A transformation creating a mirror image of a figure or graph on the opposite side of a line → Reflection
5. A transformation in which the size of a figure or graph changes, but the shape of the figure or graph stays the same. → Stretch