Question

the mapping of defg to defg is shown. which statements are true regarding the transformation? check all that apply. ef corresponds to ef. fg corresponds to gd. ∠edg ≅ ∠edg ∠def ≅ ∠def the transformation is not isometric. the transformation is a rigid transformation.

Explanation:

Step1: Recall transformation properties

In a transformation of a polygon, corresponding sides and angles are compared.

Step2: Check side - correspondence

For a transformation of polygon DEFG to D'E'F'G', the order of vertices matters. EF corresponds to E'F' as they are in the same relative position in the two polygons. FG does not correspond to G'D' as the order is wrong.

Step3: Check angle - correspondence

Corresponding angles in a transformation of congruent polygons are equal. ∠EDG corresponds to ∠E'D'G' and ∠DEF corresponds to ∠D'E'F', so ∠EDG≅∠E'D'G' and ∠DEF≅∠D'E'F'.

Step4: Check isometry and rigid - transformation

A rigid transformation is an isometric transformation which preserves distance and angle measures. Since corresponding sides and angles are congruent, this is a rigid (isometric) transformation.

Answer:

EF corresponds to E'F'.
∠EDG≅∠E'D'G'
∠DEF≅∠D'E'F'
The transformation is a rigid transformation.