Question

question 3
justin and carolina are working on triangle jkls transformation. they decided to perform a glide reflection on their shape. which order should they perform their transformations?
translation, then rotation
reflection, then rotation
rotation, then translation
translation, then reflection
question 4
in quadrant iv of the coordinate plane, there is a △xyz that has coordinates (2, -1), (1, -4), and (3, -4) for its vertices. jimmy performs a rotation of 180° clockwise around the origin. sandra performs two reflections: one over the x - axis and one over the y - axis. what is true about jimmy and sandras images?
jimmys triangle will face sideways and sandras will have the same orientation.
jimmys triangle will have the same orientation and sandras triangle will point downward.
there is not enough information to make a decision.
they will be the same image.

Explanation:

Question 3

A glide - reflection is a composition of a translation (glide) and a reflection. The order is translation first, then reflection.

A 180 - degree clockwise rotation around the origin changes the sign of both the x - and y - coordinates of each point. Reflecting a point over the x - axis changes the sign of the y - coordinate, and then reflecting over the y - axis changes the sign of the x - coordinate. For a triangle in the coordinate plane, these two sets of transformations result in the same final image.

Answer:

Translation, then reflection

Question 4