a. Write the name of figure (i) and figure (ii). b. Which theory is indicated by the given figure.

Question image

Understand the Problem

The question refers to two figures, labeled Fig. (I) and Fig. (II). It asks to identify what each figure represents and the theory indicated by the figures. This likely pertains to a concept within physics or a related scientific field.

Answer

Figure (i) shows parallel lines, and figure (ii) shows similar triangles, and the theory is the similarity of triangles.

Figure (i) shows parallel lines, and figure (ii) shows similar triangles. The theory indicated by figure (ii) is the similarity of triangles, specifically the Side-Side-Side (SSS) similarity criterion when all sides are proportional.

Answer for screen readers

Figure (i) shows parallel lines, and figure (ii) shows similar triangles. The theory indicated by figure (ii) is the similarity of triangles, specifically the Side-Side-Side (SSS) similarity criterion when all sides are proportional.

More Information

Similar triangles have the same shape but can be different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tips

A common mistake is to confuse similar triangles with congruent triangles. Congruent triangles are exactly the same (same size and shape), while similar triangles only need to have the same shape.

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