Question

select the two sequences that will map triangle p onto triangle m.
a. rotate triangle p 90° clockwise about point k, and then translate it until the triangles align.
b. rotate triangle p 90° clockwise about point k, and then reflect it across a vertical line through point k.
c. rotate triangle p 180° clockwise about point k, and then reflect it across a horizontal line through point k.
d. rotate triangle p 90° counter - clockwise about point k, and then reflect it across a horizontal line through point k.

Explanation:

Step1: Analyze rotation - clockwise 90 - degree

A 90 - degree clockwise rotation about point K changes the orientation of Triangle P.

Step2: Analyze translation

After rotating 90 - degree clockwise about point K, translating the triangle will align it with Triangle M.

Step3: Check other options

Options B, C, and D involve reflections and different rotations which do not map Triangle P onto Triangle M as required.

Answer:

A. Rotate Triangle P 90° clockwise about point K, and then translate it until the triangles align.