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iren2701 [21]
3 years ago
10

ΔXYZ was reflected to form ΔLMN. Which statements are true regarding the diagram? Check all that apply. ΔXYZ ≅ ΔLMN ∠Y ≅ ∠M ∠X ≅

∠L ∠Z ≅ ∠L YZ ≅ ML XZ ≅ LN

Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0

A reflection is a transformation that doesn't change the figure sizes and figure angles. If a triangle XYZ was reflected to form triangle LMN, then these two triangles are congruent:

ΔXYZ≅ΔLMN (true option A).

Congruent triangles have congruent corresponding sides and congruent corresponding angles:

  • ∠X≅∠L (m∠X=m∠L=38°) - true option C;
  • ∠Y≅∠M (m∠Y=m∠M=86°) - true option B;
  • ∠Z≅∠N (m∠Z=m∠N=56°);
  • XY≅LM;
  • YZ≅MN;
  • XZ≅LN - true option F.

Answer: true options A, B, C, F

garri49 [273]3 years ago
4 0
<span>correct answers are:

A) ΔXYZ ≅ ΔLMN
</span><span>B) ∠Y ≅ ∠M
</span><span>C) ∠X ≅ ∠L
</span>F) XZ<span> ≅ </span><span>LN</span>
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