jmayy8223
23.06.2019 •
Mathematics
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
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Ответ:
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.
Ответ:
Step-by-step explanation:
Cone Volume = (π • r² • h) ÷ 3
109.9 = PI * 5 * radius^2 / 3
3* 109.9 / (3.14 * 5) = radius^2
329.7 / 15.7
radius^2 = 21
radius = 4.582575695