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
Citrus2011 [14]
10 months ago
9

Use the figure above of Quadrilateral ABCD to answer the following: Use the check list to determine which properties fit. You wi

ll need to find the distance and slope of AB, BC, CD, and AD. option 1 : Opposite sides (AB, CD and BC, AD) have equal slopes making the parallel to each other, making ABCD a parallelogram.option 2: There is only two sides that have equal slopes, making them parallel to each otheroption 3: The slope of adjacent sides (like AB and BC) have negative reciprocals for slopes, making them perpendicular, which makes four 90 degree anglesoption 4: The distance of the sides AB, BC, CD, and AD are all congruent option 5 : The distance of the sides AB and CD are congruent and BC and AD are congruent, making opposite sides congruent, but not all four sides

Mathematics
1 answer:
prohojiy [21]10 months ago
3 0

Explanation:

First, let's draw the quadrilateral. So:

Then, the distance d and slope m between two points with coordinates (x1, y1) and (x2, y2) can be calculated as:

\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}

So, the distance and slope of AB where A is (-5,3) and B is (0, 6) are:

\begin{gathered} d=\sqrt[]{(0-(-5))^2+(6-3)^2} \\ d=\sqrt[]{(0+5)^2+3^2} \\ d=\sqrt[]{34} \\ m=\frac{6-3}{0-(-5)}=\frac{3}{0+5_{}}=\frac{3}{5} \end{gathered}

The distance and slope of BC where B is (0,6) and C is (5, 3) are:

\begin{gathered} d=\sqrt[]{(5-0)^2+(3-6)^2}=\sqrt[]{34} \\ m=\frac{3-6}{5-0}=-\frac{3}{5} \end{gathered}

The distance and slope of CD where C is (5,3) and D is (0, 0) is:

\begin{gathered} d=\sqrt[]{(0-5)^2+(0-3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-5}=\frac{-3}{-5}=\frac{3}{5} \end{gathered}

The distance and slope of AD where A is (-5,3) and D is (0, 0) are:

\begin{gathered} d=\sqrt[]{(0-(-5))^2+(0-3)^2} \\ d=\sqrt[]{(0+5)^2+(3)^2}=\sqrt[]{34} \\ m=\frac{0-3}{0-(-5)}=-\frac{3}{5} \end{gathered}

Therefore, the correct answers are:

Option 1 : Opposite sides (AB, CD, and BC, AD) have equal slopes making them parallel to each other, making ABCD a parallelogram.

Option 4: The distance of the sides AB, BC, CD, and AD are all congruent

You might be interested in
My victory will be in your hands if you answer this ✌✌✌✌✌
Julli [10]

Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

7 0
2 years ago
Read 2 more answers
Find the missing angle I will mark you brainly<br>​
Alchen [17]

Answer:

46

Step-by-step explanation:

180 minus 105 minus 29

4 0
2 years ago
Read 2 more answers
Use the graph below to write the equation of the function
Ksivusya [100]

Answer:

c

Step-by-step explanation:

gefhhfeyjhtwgi15287

8 0
3 years ago
the ratio of girls to boys in mrs tuners class is 3:4. there 9 girls in mrs tuners class. how many boys are in mrs tuners class
Aleonysh [2.5K]

Answer:

12

Step-by-step explanation:

You set up cross multiplication 3/4 x  9/x, you go 4x9=36 divided by 3 equals 12

7 0
2 years ago
Juanita is making bread. She needs 3 1/ 2 cups of flour. Juanita only has a 1/ 4 -cup measuring cup. How many 1 / 4 cups of flou
galina1969 [7]

Answer:

juanita organizes her magazines into 3 equal piles. ... Miss Potts used a total of 28 cups of flour to bake some bread.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 3(x+2) -10 = 4x -6 + x solve for y
    5·1 answer
  • Of the town's 42 firefighters, 16 volunteered for the special rescue team. Express the portion who did not volunteer.
    13·1 answer
  • What type of simple machine is a vise and what does it do also what is a crow bar
    14·1 answer
  • I need to know a equivalent fraction for number 7
    5·1 answer
  • Luca packed 5 shirts and 2 pairs of pants for a two-day trip. If he keeps the same ratio of shirts to number of days, how many s
    13·1 answer
  • Sin(3pi/4)sec(5pi/3) <br><br> need help solving this problem pls !! trig
    13·1 answer
  • Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their pr
    8·1 answer
  • Increase 60 by 25% please
    7·2 answers
  • For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 80 N acts on
    6·1 answer
  • Fill in the blank so that the ordered pair is a solution of y = 9x – 9.<br> ( __ ,63)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!