destinyculbert6286 destinyculbert6286
  • 02-01-2021
  • Mathematics
contestada

The diagonals of a quadrilateral QRST intersect at P(2,3). QRST has vertices at Q(3,6) and R(-3,5). What must be the coordinates of S and T to ensure that QRST is a parallelogram?

Respuesta :

kenlingdad kenlingdad
  • 02-01-2021

Answer:

S (1 , 0)

T (7 , 1)

Step-by-step explanation:

If QRST is a parallelogram, P is the mid point of segment QS and segment RT.

Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)

T (x₁ , y₁)    S (x₂ , y₂)   P (2 , 3)    Q (3 , 6)   R (-3 , 5)

2 = (x₁ + (-3))/2         x₁ = 7

3 = (y₁ + 5)/2            y₁ = 1

T (7 , 1)

2 = (x₂ + 3))/2         x₂ = 1

3 = (y₂ + 6)/2           y₂ = 0

S (1 , 0)

Ver imagen kenlingdad
Answer Link

Otras preguntas

Why are the American people saying that since the 2020 election, American democracy is gone?
When Faith takes tests, she often gets anxious about which questions she'll be asked to answer. How can she reduce this anxiety during tests? Should she take
the last time i visited aswan ............ in 2017
Naira has 13 pieces of rope, each piece is 1.5 metres long. What is the least number of pieces that she needs to tie together to make a length that is at least
find x and y given that 2x-10= 4y and 3y = 5x-18​
What is the gradient of the line
carbon 10 has a half-life of 19.29s. if you have 1.53 kg, how long will it take until you have less than 10.0 g.
Comparative study of rainfall in Kerala and chhattisgarh through bar graph
There are 24 four-digit positive integers that use each of the four digits 2, 4,5, and 7 exactly once. Listed in numerical order from smallest to largest, what
In terms of biochemistry, what is a codon?