Question

a quadrilateral has angles 120, 80, 100 and 60 degrees and after some transformations its angles are still 120, 80, 100 and 60 degrees. which of the following transformations are possible. select all that apply with explain: a) rotation b) reflection c) a combo of translation and reflection d) dilation

Explanation:

Step1: Recall properties of geometric transformations

Rotation, reflection and translation (including combinations of them) are rigid - motions. Rigid - motions preserve angle measures.

Step2: Analyze dilation

Dilation changes the size of a figure. While it preserves the shape (i.e., the angles of similar figures are equal), if the dilation factor is not 1, the figure changes in size but the angle - measures remain the same in the case of similar figures. But here we are just looking at the property of angle - preservation. Rotation, reflection, and a combination of translation and reflection are all rigid motions that preserve angle measures.

Answer:

a) Rotation
b) Reflection
c) A combo of translation and reflection