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Consider the two triangles. Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C is 15 and the length of side C B is 20. The length of side H I is 12 and the length of I G is 9. To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that...

AngleC congruent AngleC
AngleC congruent AngleG
AC/GI = HI/BC
AC/GI = BC/HI

Consider the two triangles Triangles A B C and H G I are shown Angles A C B and H I G are right angles The length of side A C is 15 and the length of side C B i class=

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abidemiokin

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that AC/GI = BC/HI.

Similarity theorem of triangle

Figures are known to be similar if the ratio of their similar sides is equal or their angles are equal.

From the given diagram, triangle ABC will be congruent to GHI if the ratio below is true.

AC/BC = GI/HI

This can also be written as AC/GI = BC/HI. Hence to prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that AC/GI = BC/HI.

Learn more on similarity theorem here: https://brainly.com/question/4163594

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Answer: D.

Step-by-step explanation:

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