Question

list the corresponding angles and sides for △zyx and △zc w, where △zyx≅△zc w. identify all of the corresponding angles below. select all that apply. a. ∠yzx and ∠czw b. ∠xyz and ∠czw c. ∠xyz and ∠wcz d. ∠yzx and ∠cwz e. ∠yxz and ∠cwz f. ∠xyz and ∠cwz

Explanation:

Step1: Recall congruent - triangle property

When \(\triangle ZYX\cong\triangle ZCW\), the vertices of the two triangles correspond in the order of the congruence statement. That is, \(Z\) corresponds to \(Z\), \(Y\) corresponds to \(C\), and \(X\) corresponds to \(W\).

Step2: Identify corresponding angles

Corresponding angles of congruent triangles have vertices in the same relative position.

• \(\angle YZX\) and \(\angle CZW\) are corresponding angles because the first - letter \(Z\) is common (the vertex of the angles) and the other two letters follow the correspondence \(Y\) to \(C\) and \(X\) to \(W\).
• \(\angle XYZ\) and \(\angle WCZ\) are corresponding angles as per the vertex - correspondence.

Answer:

A. \(\angle YZX\) and \(\angle CZW\)
C. \(\angle XYZ\) and \(\angle WCZ\)