S = (-5,0)
T = (2,1)
Step-by-step explanation:
Step 1 :
Given
Q = (3,6) and R = (-4,5). P = (-1,3)
Let S be (a,b) and T be (c,d)
The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.
Step 2 :
P is the midpoint of QS
So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3
=> 3 + a = -2 and 6 + b = 6
=> a = -5 and b =0
So S should be (-5,0)
Step 3 :
P is the midpoint of RT
So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3
=> -4+ c = -2 and 5 + d = 6
=> c = 2 and d =1
So T should be (2,1)
Step 4 :
Answer :
S = (-5,0)
T = (2,1)
Answer:
A nothing
Step-by-step explanation:
Man in gonna tell you something but it might be wrong. about 1 or 2 i think?? i'm not good at this
Answer:
ZM = 8
WM = 12
XZ = 7
XN = 21
LZ = 20
Step-by-step explanation:
The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.
The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.
ZM = (2/3)WM (centroid theorem)
Therefore: WZ = (1/3)WM
WM = 3WZ = 3 * 4 = 12
ZM = (2/3) * WM = 2/3 * 12 = 8
ZN = (2/3)XN (centroid theorem)
XN = (3/2)ZN = 3/2 * 14 = 21
XN = 21
XZ + ZN = XN
XZ + 14 = 21
XZ = 7
LZ = (2/3)LY (centroid theorem)
Therefore: ZY = (1/3)LY
LY = 3ZY = 3 * 10 = 30
LZ = (2/3) * LY = 2/3 * 30 = 20