Exploring Translations and Reflections in Pre Algebra

This lesson covers transformations on a coordinate plane, focusing on translations and reflections. Students learn to move figures without rotation and reflect them over the x and y axes. The lesson includes examples and encourages students to practice these transformations independently.

What is a transformation in the context of coordinate geometry?

• A formula for distance

• A movement of a figure on the coordinate plane

• A method to calculate area

• A type of function

What do we call the new figure on the graph after a transformation?

• The axis

• The origin

• The vertex

• The image

What is NOT involved in translating a figure on a graph?

• Moving up or down

• Rotation

• Moving left or right

• Sliding

How many units down and left is the figure translated in the example?

• 7 units down and 4 units left

• 8 units down and 3 units left

• 5 units down and 5 units left

• 6 units down and 4 units left

Which axis is used as a line of symmetry for reflection in the example?

• Z-axis

• Both X and Y axes

• X-axis

• Y-axis

How many units away from the x-axis is the top point of the triangle before reflecting?

• 6 units

• 7 units

• 8 units

• 5 units

What is the correct description of reflecting an object over an axis?

• Rotating around the axis

• Moving parallel to the axis

• Flipping the object over the axis

• Shifting the axis itself

What should you pay attention to when reflecting over the x-axis?

• That it is parallel to the y-axis

• That it is the horizontal axis

• That it is perpendicular to the y-axis

• That it is the vertical axis

How far is the first point from the y-axis before it is reflected?

• Two spaces

• Three spaces

• Four spaces

• Five spaces

After reflecting over the y-axis, how many spaces is the farthest point moved?

• Seven spaces

• Six spaces

• Eight spaces

• Nine spaces