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Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

triangles WXZ and XYZ that share side XZ with right angle XZW, WZ equals 12, XZ equals 6, and YZ equals 3

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.

6 over 12 equals 3 over 6
6 over 3 equals 6 over 12
6 over 6 equals 3 over 12
12 over 6 equals 3 over 6

Which Of The Following Best Completes The Proof Showing That ΔWXZ ΔXYZ Triangles WXZ And XYZ That Share Side XZ With Right Angle XZW WZ Equals 12 XZ Equals 6 An class=

Sagot :

Olayemiolakunle65idn

When there is a common property between any two given triangles, then the triangles are said to be similar. So that the required proportion

in the question is option A. [tex]\frac{6}{12}[/tex] = [tex]\frac{3}{6}[/tex]

When there is a common property between any two given triangles, then the triangles are said to be similar. In this case or condition of similarity of the shapes, the corresponding sides are proportional.

Proportion is a term that can be used to describe the relationship between two given ratios.

Considering the diagram in the given question, it can be deduced that the required proportion to prove the similarity between ΔWXZ and ΔXYZ is option A. [tex]\frac{6}{12}[/tex] = [tex]\frac{3}{6}[/tex]

This implies that for the two given triangles to be similar, each of the corresponding sides of ΔWXZ should be multiplied by a representative fraction of 0.5 to produce ΔXYZ. Or corresponding sides of ΔXYZ should be doubled to produce ΔWXZ.

For more clarifications on the similarity properties of triangles, visit: https://brainly.com/question/16553249

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