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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

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 class=

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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

The statements that are true regarding the diagram are;

Option A; ΔXYZ ≅ ΔLMN

Option B; ∠Y ≅ ∠M

Option C; ∠X ≅ ∠L

Option F;  XZ ≅ LN

      When an object undergoes reflection, it means it undergoes a transformation whereby there is no change length and angles.

       Now, ΔXYZ was reflected to form ΔLMN. This means that there was no change in length and angle of the triangles.

We know that sum of angles in a triangle is 180°, thus;

∠Z = 180 - (86 + 38)

∠Z = 56°

Also, ∠L = 180 - (86 + 56)

∠L = 38°

Thus;

∠Y ≅ ∠M

∠L ≅ ∠X

∠Z ≅ ∠N

Also;

YZ ≅ MN

LM ≅ XY

XZ ≅ LN

Since all corresponding sides and angles are congruent, then;

ΔXYZ ≅ ΔLMN

Read more at; https://brainly.com/question/10077192

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