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natta225 [31]
1 year ago
13

Lmk if u can figured it out

Mathematics
2 answers:
Scilla [17]1 year ago
7 0

Answer:

see explanation

Step-by-step explanation:

since the triangles are congruent , then corresponding sides and angles are congruent.

(1)

Δ HIJ ≅ Δ LMN

sides           angles

---------         -----------

HI ≅ LM        ∠ H ≅ ∠ L

HJ ≅ LN         ∠ I ≅ ∠ M

IJ ≅ MN          ∠ J ≅ ∠ N

(2)

Δ XYZ ≅ Δ JKL

sides            angles

--------          ------------

XY ≅ JK        ∠ X ≅ ∠ J

XZ ≅ JL        ∠ Y ≅ ∠ K

YZ ≅ KL        ∠ Z ≅ ∠ L

vivado [14]1 year ago
6 0

Answer:

1. ΔHIJ ≅ ΔLMN

  • sides: HI ≅ LM,  IJ ≅ MN,  HJ ≅ LN.
  • angles: ∠H ≅ ∠L, ∠I ≅∠M, ∠J ≅∠N.

2. ΔXYZ ≅ ΔJKL

  • sides: XY ≅ JK,  YZ ≅ KL,  XZ ≅ JL.
  • angles: ∠X ≅ ∠J, ∠Y ≅∠K, ∠Z ≅∠L.

Step-by-step explanation:

I believe it's asking to list the corresponding sides and pairs of angles in the congruent triangles.

Look at the order of the letters HIJ and LMN. There are 3 letters, which represent 3 sides and 3 angles. The first, second, and third letters of the first triangle correspond to the first, second, and third letters of the second triangle.

1. ΔHIJ ≅ ΔLMN

  • sides: HI ≅ LM,  IJ ≅ MN,  HJ ≅ LN.
  • angles: ∠H ≅ ∠L, ∠I ≅∠M, ∠J ≅∠N. (these can also be written as ∠HIJ ≅ ∠LMN, ∠HJI ≅ ∠LNM, ∠IHJ ≅ ∠MLN... but it depends on what the instructor wants really).

2. ΔXYZ ≅ ΔJKL

  • sides: XY ≅ JK,  YZ ≅ KL,  XZ ≅ JL.
  • angles: ∠X ≅ ∠J, ∠Y ≅∠K, ∠Z ≅∠L.
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