Question

select the correct answer from each drop - down menu.
consider triangle abc shown on the graph.
side lengths and angle measures will be preserved when △abc is reflected across the y - axis.
side lengths are not preserved when △abc is
(rotated 90° clockwise about the origin
dilated by a scale factor of 3
dilated by a scale factor of 1)

Explanation:

Step1: Recall Transformations

Reflections (like over y - axis) and rotations (like 90° clockwise) and dilations with scale factor 1 are rigid transformations. Rigid transformations preserve side lengths and angle measures. Dilations with scale factor ≠ 1 change side lengths (scale them by the factor).

Step2: Analyze Each Option for Second Drop - Down

• Rotated 90° clockwise: Rigid transformation, preserves side lengths.
• Dilated by scale factor of 3: Non - rigid (scale factor ≠ 1), side lengths are multiplied by 3, so not preserved.
• Dilated by scale factor of 1: Same as original, preserves side lengths.

Answer:

For the second drop - down menu, the correct option is "dilated by a scale factor of 3"