Question

The proof that ΔEFG ≅ ΔJHG is shown.

Answer 1

Answer:

B

Step-by-step explanation:

Just took on edgu

Answer 2

SAS Postulate:  If two sides and the included angle of the first triangle are congruent to the corresponding parts of the second triangle, then the correspondence is a congruence.

You have:

• step 2 - FG ≅ HG (by the definition of midpoint);
• step 5 - EF ≅ HJ (given)

So if you want to use SAS Postulate you have to prove that ∠EFG≅∠JHG. These angles are alternate interior angles at parallel lines EF and GH (given that they are parallel in step 3) and transversal FH.

Thus,

• step 4 - when the two lines being crossed are parallel lines the alternate interior angles are congruent.

Therefore, you can use SAS in step 6.