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
sdas [7]
3 years ago
13

Parallelogram ABCD has vertices: A(-3, 1), B(3, 3), C(4, 0), and D(-2, -2). In two or more complete sentences, explain how you c

an use the coordinates of the vertices to prove that parallelogram ABCD is a rectangle.

Mathematics
2 answers:
mina [271]3 years ago
4 0
You have to shoe that the angles between adjacent sides = 90 degrees. You do do this by showing the adjacent sides are perpendicular  by comparing their slopes. 
raketka [301]3 years ago
3 0

Answer:

Step-by-step explanation:

Remember, the slope of parallel lines is the same, while the slope of perpendicular lines is the negative reciprocal of each other.

We are given that points a(-3,1), b(3,3), c(4,0) and d(-2,-2). Let’s first identify the relationships between the lines that form the sides of rectangle ABCD.

Lines AD and BC are parallel

Lines AB and DC are parallel

Lines AB and AD are perpendicular

Lines BC and DC are perpendicular

Lines AD and BC are parallel, since the two lines share a slope of -3.

Lines AB and DC are parallel, since they both share a slope of 1/3.

Lines CD and BC are perpendicular, since they are the opposite reciprocal of each other. CD has a slope of 1/3. BC has a slope of -3.

Lines DC and AD are perpendicular as well. DC has a slope of 1/3. AD has a slope of -3.

Using this information, we can arrive at the conclusion that parallel lines DC and AB intersect with parallel lines BC and AD. The intersection of these pairs of parallel lines make up the sides of rectangle ABCD, which proves that the vertices of the parallelogram forms a rectangle.

You might be interested in
There are 15 hats on a rack and 9 of them are orange<br>What percentage of the hats are NOT orange?​
dmitriy555 [2]

Answer:

40%

Step-by-step explanation:

15-9=6

6/15=2/5=40/100=40%

4 0
3 years ago
Read 2 more answers
If the spinner is spun 40 times, how ,many times would you predict a spin of something that is not purple
saveliy_v [14]

Answer:40 times

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How to solve this question ? use appropriate metric prefix to write the following measurment without use exponents?
AleksAgata [21]
<span>-12 = pico(p) So 10^-12 L = 1 pL Use following to find the count of 10^-12 L are there in 2.3×10^-10 L 2.3×10^-10 / (10^-12) = 2.3×10^2 = 230 pL -6 = micro (µ) 4.7×10^-6 g = 4.7 µg 1.85×10^-12 m = 1.85 pm 6 = Mega (M) 16.7×10^6 s = 16.7 Ms So the answer is 16.7 Ms</span>
8 0
3 years ago
If it takes 100 g of sugar to make five cupcakes how many grams of sugar let me take to make 15 cupcakes
marissa [1.9K]

Answer:

300 g of sugar

Step-by-step explanation:

15 divided by 5 is 3 so 3 x 100 is 300. Hope this helps! :)

5 0
3 years ago
Read 2 more answers
Solve for x: 3+x=2x=?
Leokris [45]

Answer:

x=3

Step-by-step explanation:

3+x=2x

Subtract x from each side to get the variable on one side

3+x-x=2x-x

3 = x

4 0
3 years ago
Read 2 more answers
Other questions:
  • for each month of a year Selena saving an extra $100 from her paycheck by the end of the year she had saved 1800 write and solve
    11·2 answers
  • I need help with number 4
    10·1 answer
  • You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a
    15·2 answers
  • the length of a rectangle is 4 times its width. The rectangles perimeter is 68 feet what is the rectangles length and width ??
    15·1 answer
  • If 0 is in quadrant II and sin^2 0=3/4 evaluate tan0
    10·1 answer
  • Which line represents a proportional relationship?
    8·1 answer
  • What is the standard form of the equation of the circle x^2 - 2x + y^2 - 8y + 8 = 0?
    10·1 answer
  • Find the area of the figure.<br> (20 pts)
    10·2 answers
  • Can anyone help me on this last one
    8·2 answers
  • Type the correct answer in the box. Write your answer as a whole number. The radius of the base of a cylinder is 10 centimeters,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!