Question

Lmk if u can figured it out

Answer 1

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.

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.

Answer 2

see explanation

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