Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
Since segment XZ is perpendicular to segment WY, angles WZX and XZY are both right angles and congruent. The proportion _ shows the corresponding sides are proportional, so the triangles are similar by the SAS Similarity Postulate.

A. 5 over 10 equals 5 over 2 and one half
B. 5 over 10 equals 5 over 5
C. 10 over 5 equals 5 over 2 and one half
D. 10 over 5 equals 2 and one half over 5

C. C. 10 over 5 equals 5 over 2 and one half

Step-by-step explanation:

Two ∆s are similar if their corresponding angles are congruent, and also if the ratio of their corresponding sides are equal.

If ΔWXZ ~ ΔXYZ, then,

Thus:

Therefore, the proportion that shows the corresponding sides are proportional.

The answer is: C. 10 over 5 equals 5 over 2 and one half.

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step-by-step explanation:

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for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c