Determine if the triangles, ZBX and NBG, are similar. If so, identify the similarity criterion.

A) AA similarity

B) SAS Similarity

C) SSS similarity

D) NOT similar

Determine if the triangles ZBX and NBG are similar If so identify the similarity criterion A AA similarity B SAS Similarity C SSS similarity D NOT similar class=

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Answer:

your answer is B) SAS Similarity if this helps don't mind marking me brainliest

The similarity criteria for the triangle ZBX and NGB is SAS.

According to the triangle ZBX and NGB, the angle NBG and the angle XBZ are equal(vertically opposite angles).

Base on the diagram, the proportion can be establish below:

XB / BG = 5 / 15 = 1 / 3

BZ / NB = 4 /12 = 1 / 3

The ratios are the same, therefore,

XB / BG  = BZ / NB     and ∠NBG ≅ ∠ XBZ

This makes the triangle ZBX and NBG similar by the rule SAS(side angle side).

Recall, the SAS similarity theorem states that If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

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