Question

list the corresponding angles and sides for △dyx and △dza, where △dyx≅△dza. identify all of the corresponding angles below. select all that apply. a. ∠xyd and ∠zda b. ∠ydx and ∠zad c. ∠yxd and ∠zad d. ∠xyd and ∠azd e. ∠ydx and ∠zda f. ∠xyd and ∠zad

Explanation:

Step1: Recall congruent - triangle property

For congruent triangles \(\triangle DYX\cong\triangle DZA\), corresponding vertices are in the same order. Corresponding angles are the angles at the corresponding vertices.

Step2: Analyze each option

• Option A: \(\angle XYD\) and \(\angle ZDA\) are not corresponding angles.
• Option B: \(\angle YDX\) and \(\angle ZAD\) are not corresponding angles.
• Option C: \(\angle YXD\) and \(\angle ZAD\) are corresponding angles as the order of vertices in congruent - triangles gives the correspondence.
• Option D: \(\angle XYD\) and \(\angle AZD\) are corresponding angles.
• Option E: \(\angle YDX\) and \(\angle ZDA\) are not corresponding angles.
• Option F: \(\angle XYD\) and \(\angle ZAD\) are not corresponding angles.

Answer:

C. \(\angle YXD\) and \(\angle ZAD\), D. \(\angle XYD\) and \(\angle AZD\)