Question

describe a sequence of transformations that maps △pqr onto △lmn. vocabulary dilation a transformation that makes a scale copy of a figure. sequence of transformations one or more transformations performed in a certain order.

Explanation:

Step1: Reflect over x - axis

Reflect $\triangle PQR$ over the x - axis to change the sign of the y - coordinates of its vertices.

Step2: Translate

Translate the reflected triangle. Observe the horizontal and vertical displacements needed to align with $\triangle LMN$. For example, if the reflected triangle needs to move 3 units to the right and 1 unit down to match $\triangle LMN$, then perform that translation.

Step3: Dilate (if needed)

Check the side - lengths of the two triangles. If they are not congruent after reflection and translation, determine the scale factor of dilation. Measure the ratio of corresponding side - lengths of $\triangle LMN$ and the translated triangle to find the scale factor.

Answer:

Reflect $\triangle PQR$ over the x - axis, then translate it horizontally and vertically as needed, and if necessary, dilate it with an appropriate scale factor to map it onto $\triangle LMN$.