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Using the information given below, determine the relationship between the two triangles.

Using the information given below, determine the relationship between the two triangles-example-1
User Svenwinkle
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1 Answer

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Based on statement 4, we can say that the two triangles are not congruent since Side YX is shorter than side BA. We can eliminate Option 3.

Based on Statements 3 and 4, we can say that the ratio of the two corresponding sides of the triangle XYZ and ABC are not proportional.


(YZ)/(BC)\\e(XY)/(AB)

The two ratios are not equal because YZ and BC are congruent. This means YZ/BC = 1. On the other hand, since XY < BA, then XY/AB is less than 1.

Since the ratio of the corresponding sides is not equal, the two triangles are not similar as well. With this, we can eliminate Options 1 and 2.

Hence, the answer is Option 4. No relationship can be determined between Triangle YZX and Triangle BCA.

User VolenD
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