Geometry Module 1 Transformations and Symmetry 1.5 Answer Key

For solving problems related to flipping, rotating, or resizing shapes on a plane, the first step is to identify the transformation type involved. Carefully examine the figure or coordinates to determine if it has undergone a flip, turn, or stretch. This recognition will guide you toward selecting the correct method.

Flipping, or reflecting, involves mirroring a figure across a line, often the x-axis or y-axis. When asked to reflect a point across the x-axis, the y-coordinate changes its sign, while the x-coordinate remains the same. Similarly, a reflection across the y-axis changes the x-coordinate’s sign.

Rotating shapes requires careful attention to the degree of rotation. A 90-degree turn involves switching the coordinates and changing the sign of the new x-coordinate, while a 180-degree rotation simply changes the sign of both coordinates. Pay attention to the direction of rotation (clockwise or counterclockwise) when applying these changes.

Resizing, or dilating, involves multiplying the coordinates of each point by a constant factor. If the dilation factor is greater than 1, the figure enlarges; if the factor is less than 1, the figure shrinks. Always check that the center of dilation is consistent with the problem’s instructions.

By mastering these transformations, you can efficiently solve related questions and confidently interpret their results. Keep practicing with different shapes and coordinate pairs to strengthen your skills.