1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lidiya [134]
1 year ago
7

Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain

.
--
Help pls? anyone :(?

Mathematics
1 answer:
svlad2 [7]1 year ago
5 0

Answer:

  • ABCD is a rhombus, and a parallelogram

==================================

<h3>Given </h3>

  • Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

<h3>We see that:</h3>

  • Opposite sides are parallel,
  • Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

  • AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
  • BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

  • m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
  • m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

  • m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

You might be interested in
PETS Last month, Hao's dog ate 40 cans
zimovet [89]

Answer:

8 cans

Step-by-step explanation:

8 0
3 years ago
What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that
serg [7]

Answer:

5:7

Step-by-step explanation:

The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.

8 0
3 years ago
10 points!
sasho [114]
I believe it's the 3rd one. It's a really tricky question sorry if you get it wrong
4 0
3 years ago
8th Grade Math Equation. Please help! I accept any type of help!
muminat

Hello from MrBillDoesMath!

Answer:

Positive x-intercept =  + sqrt(3)

Negative x-intercept = - sqrt(3)


Discussion:

Generally, the x-intercept of a function g(x) occurs where g(x) = 0. In our case this is

g(x) = 0   =>

3x^2 - 9 = 0     =>                         (add 9 to both sides of the equation)

3 x^2      = 9    =>                         (divide both sides by 3)

x^2 = 9/3 = 3  =>

x = +\- sqrt (3)

Positive x-intercept =  + sqrt(3)

Negative x-intercept = - sqrt(3)



Thank you,

MrB

5 0
3 years ago
An elephant at the city zoo weighs 13,600 pounds. how many tons is this?
shtirl [24]
Since a ton is 2000 pounds You would divide 13600 pounds in half so your answer would be C>>>6.8 tons
7 0
3 years ago
Other questions:
  • Discuss the advantages of understanding accounting as it relates to your current or future position.
    7·1 answer
  • (2, 12), (4, 7), (5, 4) Will the correlation coefficient for these data points be positive or negative?
    13·1 answer
  • I need to know how to work<br> This
    10·1 answer
  • What is 75/100 reduced to ?
    11·2 answers
  • So I have the following integral (Please note that the number below is -2 but for some reason LateX did not accept a negative nu
    15·1 answer
  • 4x + 2y = 6, -x +2y = -4
    11·2 answers
  • What is the value of n?<br><br> –2n – 16 = 4n + 8
    5·1 answer
  • Jackie Robinson was a prominent athlete who made the headlines as one of the first and most commonly known black player in the M
    6·2 answers
  • Sally purchases 3 bags of Doritos for $3.96. What is the unit rate
    12·2 answers
  • I need help to find the value of X?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!