Given parallelogram DEFG. Complete each statement by writing your answer on the blank
after each number.
Share
Given parallelogram DEFG. Complete each statement by writing your answer on the blank
after each number.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Given parallelogram DEFG. Complete each statement by writing your answer on the blank after each number.
1.) DH = FH
2.) DG = EF
3.) ∠GDE = G..FE
4.) GH = 1/2(GE)
5.) DE = G..F
6.) ∠DEG = ∠FGE
7.) ∠DFG = ∠FDE
8.) m∠DEF = 180 - m∠G..FE
9.) ΔDFG = ΔFDE
10.) ΔDHE = ΔGHF
11.) 2x + 5 = 3x - 31
2x - 3x = -31 - 5
-x = -36
x = 36
m∠GDE = 2x + 5
m∠GDE = 2(36) + 5
m∠GDE = 72 + 5
m∠GDE = 77
12.) m∠DG..F + m∠GDE = 180
x + 3x - 4 = 180
4x = 180 + 4
4x = 184
x = 184/4
x = 46
m∠DEF = m∠DG..F
m∠DEF = 46
13.) GE = 3x - 4
GH = x + 5
GH = GE/2
x + 5 = (3x - 4) / 2
2x + 10 = 3x - 4
2x - 3x = -4 - 10
-x = -14
x = 14
GH = HE
HE = x + 5
HE = 14 + 5
HE = 19
14.) DG = 2x - 3
DE = 3x - 1
G..F = 2x + 11
DE = G..F
3x - 1 = 2x + 11
3x - 2x = 11 + 1
x = 12
DG = EF
EF = 2x - 3
EF = 2(12) - 3
EF = 24 - 3
EF = 21
15.) m∠DEG = 3x
m∠FGE = x + 28
m∠DEG = m∠FGE
3x = x + 28
3x - x = 28
2x = 28
x = 28/2
x = 14
m∠FGE = x + 28
m∠FGE = 14 + 28
m∠FGE = 42
#CarryOnLearning