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
irga5000 [103]
3 years ago
12

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

gative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

(1,−1)
(1,1)
(1,0)
(0,1)

Mathematics
1 answer:
Mrrafil [7]3 years ago
3 0
<h3>Answer:  Choice C.   (1,0)</h3>

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

Explanation:

Point H is at (-2,2) and J is at (4,-2)

Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.

The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.

The midpoint is at (1,0). That's why the answer is choice C.

--------------------------

This next section is optional.

Points I and K are located at (4,3) and (-2,-3) respectively

Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1

Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0

We end up with the same midpoint (1,0)

The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.

You might be interested in
How many different committees of 4 people can be chosen from a group of 21?
sdas [7]

Answer:

There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.

4 0
3 years ago
Solve for v <br>160=11-v
user100 [1]
V + 160 = 11
v = -149

Hope this helps
6 0
4 years ago
Suppose a study estimated that 68% of the residents of a town (with an error range of ±8 percentage points at 95% confidence) fa
kipiarov [429]
The correct answer would be 62%
5 0
3 years ago
Read 2 more answers
7n-4=31<br> So what does n represent?
Lorico [155]

Answer:

n=5

Step-by-step explanation:

7n-4   =     31

    +4        +4

7n  =  35

/7        /7

n=5

6 0
3 years ago
5. What are the factors of 51?
dimaraw [331]

Answer:

1,3,17 this is answer I pulled it up

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the missing dimension of each triangle described height 14 inches area 245 inches Square
    6·1 answer
  • Matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on the lake is 42
    7·1 answer
  • In a petri dish, a certain type of bacterium doubles in number every 40 minutes.
    12·1 answer
  • Charles can do a job in 1 hour, Bill can do the same . . job in 2 hours, and Bob can do the job in 3 hours.. . How long does it
    6·1 answer
  • Which number is a factor of 14, but not a multiple of 2?
    7·1 answer
  • The table below represents a function.
    7·2 answers
  • In the equation below identify the products CH4 + O2 → CO2 + 2H2O
    7·1 answer
  • Identify the center and radius of a circle with equation (x+4)^2+(y-2)^2=36
    15·1 answer
  • Plssssssssss help meeeeeeeeeeeeeeeee plssssssssss
    5·2 answers
  • The sum of three consective even integers if the largest number is y
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!