Quadrilateral BCDE has vertices B(-5, 8), C(-2, 14), D(12, 7), and E(9, 1). Determine the most precise classification of BCDE: a parallelogram, rectangle, rhombus, or square. Use the distance formula to justify your answer. **MUST SHOW ALL WORK for full credit**
Question 1
1.
1. Which quadrilaterals always have diagonals that are perpendicular?
Question 2
2.
2. Which quadrilaterals always have consecutive angles that are supplementary?
Question 3
3.
If ABCD is a parallelogram, AB = 27, EC = 13, m∠ABC = 76°, m∠DAC = 71°, and m∠BDC = 27 °, find each measure.
a)DC=__________
b)AC= __________
c) m∠DAB=__________
d)m∠ABD=__________
e)m∠ACD=__________
f)m∠ADB=__________
Question 4
4.
If PQRS is a rectangle, ST = 9, and m∠PRS = 25°, find each measure.
a)SQ=__________
b)PR=__________
c)m∠QPR=__________
d)m∠PSR=__________
e)m∠SQR=__________
f)m∠PTQ=__________
Question 5
5.
If JKLM is a rhombus, MK = 30, NL = 13, and m∠MKL = 41, find each measure.
a)NK=__________
b)JL=__________
c)KL=__________
d)m∠JKM=__________
e)m∠JML=__________
f)m∠MLK=__________
g)m∠MNL=__________
h)m∠KJL=__________
Question 6
6.
If WXYZ is a square with WZ = 27, find each measure.
a)ZY=__________
b)WY=__________
c)RX=__________
d)m∠WRZ=__________
e)m∠XYZ=__________
f)m∠ZWY=__________
Question 7
7.
Question 8
8.
Question 9
9.
If DEFG is a rectangle, Find m∠EGF and m∠DGE.
52
15
67
76
17
34
23
27
If WXYZ is a parallelogram, find VZ and XZ given XV = 27 – 2x and VZ = 3x + 2.
