Given: quadrilateral defg is a parallelogram. prove: gh ≅ eh dh ≅ fh proof: statement reason 1. quadrilateral defg is a parallelogram. given 2. definition of a parallelogram 3. draw and . these line segments are transversals cutting two pairs of parallel lines: and and and . drawing line segments 4. place point h where and intersect. defining a point 5. ∠hgd ≅ ∠hef ∠hdg ≅ ∠hfe 6. dg ≅ ef opposite sides of a parallelogram are congruent. 7. asa criterion for congruence 8. gh ≅ eh dh ≅ fh corresponding sides of congruent triangles are congruent. 1 what is the missing statement for step 7 in this proof? a. δdgh ≅ δfeh b. δghf ≅ δehd c. δdgf ≅ δfed d. δdef ≅ δedg

A.  ΔDGH ≅ ΔFEH

Step-by-step explanation:

We are given the proof of GH ≅ EH and DH ≅ FH.

Now, previous to step 7, we have obtained,

Step 5: ∠HGD ≅ ∠HEF  and ∠HDG ≅ ∠HFE

Step 6: DG ≅ EF as opposite sides of a parallelogram are congruent.

Since, we have that two angles of the triangles are congruent and their including sides are also congruent.

Thus, by Step 7 i.e. ASA criterion for congruence, we get that the corresponding triangles are also congruent.

Hence, we get, ΔDGH ≅ ΔFEH.

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~