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
Setler [38]
3 years ago
15

The midpoints of an irregular quadrilateral ABCD are connected to form another quadrilateral inside ABCD. Complete the explanati

on of why the quadrilateral is a parallelogram.​
Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:

Suppose: M, N, P, Q are the midpoints of AB, BC, CD, AD respectively

=> MNPQ is the quadrilateral inside ABCD

connect B to D, ΔABD has : M is the midpoint of AB

                                              Q is the midpoint of AD

=> MQ is the midpoint polygon of ΔABD

=> MQ // BD and MQ = 1/2.BD (1)

ΔBCD has: N is the midpoint of BC

                  P is the midpoint of DC

=> NP is the midpoint polygon of ΔBCD

=> NP // BD and NP = 1/2.BD    (2)

from (1) and (2) => MQ // NP ( //BD)

                            MQ = NP  (=1/2.BD)

=> MNPQ is a parallelogram.​

=>  the quadrilateral inside ABCD is a parallelogram.​

Step-by-step explanation:

You might be interested in
HELP Can you determine the third angle measure in a triangle, if you know the other two angles?
NNADVOKAT [17]

Answer:

yes; you can just remember that all the angles on a triangle equal 180 so just add the two angles, subtract from 180 to get your last angle degrees.


8 0
3 years ago
The positive acute angle formed by the _____ side of an angle in standard position and the x-axis is called a reference angle.
Helga [31]

Answer:

option-C

terminal

Step-by-step explanation:

We know that

reference angle is between terminal side and x-axis

so, the other side will be terminal position

so, we can write as

The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.

So,

option-C

terminal

7 0
3 years ago
What is the value of n in the equation below?<br><br>A:-20<br>B:-9<br>C:9<br>D:20
Nikitich [7]
Answer is C:9
12^9/12^5 = 12^4

hope it helps
8 0
3 years ago
Read 2 more answers
O
Ivahew [28]

Answer: 1/7

Step-by-step explanation:

Total questions answered = 49

Harry correct answers = 42

Harry wrong answers = (49 - 42) = 7

Thus, the only fraction of wrong answers = (Number of wrong answers / Total number of questions answered)

i.e 7/49

= 1/7

Thus, harry answered 1/7 of the 49 questions wrongly.

8 0
3 years ago
Read 2 more answers
Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.
sertanlavr [38]

Answer:

y=-3x-8

Step-by-step explanation:

slope-intercept form:

y=mx+b

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

3x+y=-5

In this case, all you need to do is subtract 3x from both sides.

y=-3x-5

Here, the slope is -3. The slope of a parallel line will also be -3.

Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8

Finally, with the slope and the y-intercept, you can write the equation of the line:

y=-3x-8

3 0
3 years ago
Other questions:
  • Write the coordinates of point A after dilation with a scale factor of 3, centered at the origin.
    7·1 answer
  • a pay phon3 at a shopping mall charges $0.68 for the first four minutes and $0.21 for each additional find the cost of a 10-minu
    5·2 answers
  • Please help due tommo
    14·1 answer
  • Real-world problems that have more than one answer can be described by relations.
    9·2 answers
  • Please help !! Will grant brainliest
    5·1 answer
  • Can someone help me with my math work please?
    15·1 answer
  • What is 45% of 40 in part, whole, and percent?
    7·1 answer
  • 16. x + 8
    9·1 answer
  • Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0. 8g. Local taxe
    13·1 answer
  • Which circle has a radius of 8?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!