The proof that δefg ≅ δjhg is shown.
given: g is the midpoint of hf, ef ∥ hj, and ef ≅ hj.
prove: δefg ≅ δjhg
statement
reason
1. g is the midpoint of hf 1. given
2. fg ≅ hg 2. def. of midpoint
3. ef ∥ hj 3. given
4. ? 4. alt. int. angles are congruent
5. ef ≅ hj 5. given
6. δefg ≅ δjhg 6. sas
what is the missing statement in the proof?
a. ∠feg ≅ ∠hjg
b. ∠gfe ≅ ∠ghj
c. ∠egf ≅ ∠jgh
d. ∠gef ≅ ∠jhg

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:

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,

Therefore, you can use SAS in step 6.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.

i'm a sophomore in connections, i'd recommend checking on jishka.com they have a large range of questions and answers from our school.