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4. two trapezoids are shown. describe a sequence of transformations tha…

Question

  1. two trapezoids are shown. describe a sequence of transformations that take isosceles trapezoid f to its image f. 5. quadrilateral abcd is a rectangle. trapezoid aefb is congruent to trapezoid cfed. point g is the mid - point of ef. select all the descriptions of rigid transformations that take aefb to cfed. (3 answers) - reflect aefb across ef. - rotate aefb 180° clockwise around point g. - rotate aefb 180° counter - clockwise around point g. - translate aefb by the directed line segment from f to e, and then reflect across line fe. - translate aefb by the directed line segment from f to e, and then rotate 180° clockwise around point e. 6. five polygons are shown.

Explanation:

Step1: Analyze congruent trapezoids

Trapezoid AEFB and CDEF are congruent.

Step2: Check transformation options

A reflection across EF maps AEFB to CDEF. A 180 - degree clockwise or counter - clockwise rotation around mid - point G of EF also works.

Answer:

Reflect AEFB across EF.
Rotate AEFB 180° clockwise around point G.
Rotate AEFB 180° counterclockwise around point G.