What is "to show that δfgh ≅ δjkl by sas?

To show that triangle FGH (δfgh) is congruent to triangle JKL (δjkl) using the <a href="https://www.wikiwhat.page/kavramlar/SAS%20(Side-Angle-Side)%20Congruence">SAS (Side-Angle-Side) Congruence</a> postulate, you need to demonstrate the following:

  1. Side Congruence: One side of triangle FGH must be congruent to a corresponding side of triangle JKL. For example, FG ≅ JK.

  2. Angle Congruence: The angle included between the two sides you're considering in each triangle must be congruent. For instance, if FG ≅ JK, and GH ≅ KL, then ∠G must be congruent to ∠K (∠G ≅ ∠K). The <a href="https://www.wikiwhat.page/kavramlar/Included%20Angle">included angle</a> is the angle formed by the two congruent sides.

  3. Side Congruence: The other side forming the included angle in triangle FGH must be congruent to the corresponding side in triangle JKL. Building on the previous example, GH ≅ KL.

Therefore, to prove δfgh ≅ δjkl by SAS, you need to show that:

  • FG ≅ JK
  • ∠G ≅ ∠K
  • GH ≅ KL

If these three conditions are met, then by the SAS congruence postulate, the two triangles are congruent.