Question

Identify the mapping as a translation, reflection, rotation, or glide reflection. Find the translation rule, reflection line, center of rotation, and angle of rotation, or glide translation rule and reflection line.

ΔHGF→ΔPQM

A. Translation, Translation rule: PQM, Reflection line: None, Center of rotation: None, Angle of rotation: None
B. Reflection, Translation rule: None, Reflection line: PM, Center of rotation: None, Angle of rotation: None
C. Rotation, Translation rule: None, Reflection line: None, Center of rotation: P, Angle of rotation: 120 degrees
D. Glide Reflection, Translation rule: PQ, Reflection line: PQ, Center of rotation: None, Angle of rotation: None

Answer 1

Without specific details about the vertices in both triangles, we cannot definitively identify the mapping of ΔHGF → ΔPQM as a translation, reflection, rotation, or glide reflection.

Step-by-step explanation:

To identify the mapping of ΔHGF → ΔPQM as a translation, reflection, rotation, or glide reflection, you would need specific details about the coordinates of the vertices in both triangles. Without additional information, we cannot definitively determine the transformation.

If the vertices of ΔPQM have been slid over without rotation or flipping from the vertices of ΔHGF, it would be a translation. In a reflection, ΔPQM would be a mirror image across a particular line such as PM. In the case of a rotation, ΔPQM would be rotated around a certain point, like point P, at a specified angle, such as 120 degrees. Lastly, a glide reflection would consist of a translation followed by a reflection across a line like PQ.