Given that points A, B, and C are the midpoints of their respective sides, which of the following is true about the figure? ANSW
ERS: A) ∠Y ≅ ∠Z B) ∠X ≅ ∠ACB C) || D) ||
1 answer:
Answer:
The correct option is;
Step-by-step explanation:
The dimensions given are;
YX = 2 × AX (A = midpoint of YX)
ZX = 2 × CX (C = midpoint of ZX)
∠X and ∠X are congruent (Reflexive property)
Therefore, triangle XAC is similar to triangle XYZ (SAS similarity theorem)
Since ∠XYZ = ∠XAC segments YZ and AC are parallel from having equal angle on the same side of the transversal YX
Therefore the correct option should be;
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