Question

With which set of information can you construct a unique triangle? A. the measurements of all the angles B. the lengths of two sides C. the measurements of two angles D. the lengths of all the sides E. the measurement of one angle

Answer 1

D.Is the correct answer

Explanation:

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Answer 2

D. the lengths of all the sides

Explanation:

Consider the triangle congruence theorems. They are abbreviated ...

• SSS
• SAS
• ASA
• AAS
• HL (right triangle only)

Matching these with the offered choices, you find that SSS (the lengths of 3 sides) is the only one that compares. The other offered choices are insufficient to completely define a unique triangle.

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Two or three angles will define a triangle, but not one that is unique. The size of it is not determined by the angles alone.