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.
