Question

question #1 g.gsr.3.1 which of the following transformations is not a rigid transformation? a. translation b. reflection c. rotation d. dilation question #2 g.gsr.3.3 the graph shows △abc and △abc. identify the transformations that map △abc onto △abc. a. translation right 1 unit and translation up 3 units b. translation left 1 unit and translation down 3 units c. 180° clockwise rotation about the origin and a reflection about the y - axis d. 180° clockwise rotation about the origin and a reflection about the y = x line.

Explanation:

Step1: Recall rigid - transformation definition

Rigid transformations preserve distance and angle measures. Translation, reflection, and rotation are rigid transformations as they do not change the size or shape of the figure. Dilation changes the size of the figure.

Step2: Answer Question #1

Since dilation changes the size of a figure and is not a rigid - transformation, the answer to Question #1 is d. Dilation.

Step3: Analyze the transformation in Question #2

For the transformation from $\triangle ABC$ to $\triangle A'B'C'$, we can observe the change in the position of the vertices. By comparing the coordinates of the vertices of $\triangle ABC$ and $\triangle A'B'C'$, we can see that the transformation is a translation left 1 unit and down 3 units.

Answer:

Question #1: d. Dilation
Question #2: b. Translation left 1 unit and translation down 3 units