Pentagon LMNOP

undergoes a single transformation to form a congruent pentagon, L′M′N′O′P′
. Which of the following best describes the possible transformation that took place?(1 point)
Responses

a translation only
a translation only

a rotation only
a rotation only

a reflection, rotation, or a translation
a reflection, rotation, or a translation

a reflection only

The correct answer is a reflection, rotation, or a translation. This is because a congruent pentagon can be obtained by reflecting, rotating, or translating the original pentagon.

What is the sequence of steps used to move traingle DFG in Quadrant I to the triangle in Quadrant II to show that the triangles are congruent?

(1 point)
Responses

reflection, then translation
reflection, then translation

rotation, then translation
rotation, then translation

transformation, then translation
transformation, then translation

translation, then rotation

The correct answer is rotation, then translation. To move triangle DFG in Quadrant I to the triangle in Quadrant II in order to show that they are congruent, you would first rotate the triangle around the origin (0,0) by a certain angle. After rotating, you would then translate the triangle in a specific direction. So the sequence of steps is rotation, then translation.