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
anzhelika [568]
3 years ago
12

Find the coordinates of the intersection of the diagonals of parallelogram WXYZ with the following vertices: W (-1, 7), X (8, 7)

, Y (6, -2) and Z (-3, -2)
A. (1.5, -2)
B. (7, 2.5)
C. (2.5, 2.5)
D. (3.5, 7)
Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
The intersection of the diagonals of a parallelogram is always the midpoint of each of the diagonals, which means all we have to do is grab two opposite vertices and average their coordinates. 

<span>Let's use W and Y. </span>

<span>(-1 + 6)/2 = 2.5 </span>
<span>(7 + -2)/2 = 2.5 </span>

<span>So our point is (2.5,2.5) </span>

<span>We could also use X and Z. </span>
<span>(8 + -3)/2 = 2.5 </span>
<span>(7 + -2)/2 = 2.5 </span>

<span>Again, we get (2.5,2.5)</span>
You might be interested in
In the figure shown, triangle RST undergoes reflections across two line. R''S''T’’ is the final image of RST
soldi70 [24.7K]
<h3>Answer: D.  y = -x</h3>

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

Explanation:

Point T is at (-2,1)

When we reflect it over the line x = 0, aka the y axis, we use the rule (x,y) \to (-x,y) so T(-2,1) becomes T ' (2, 1). The x coordinate flipped in sign, while the y coordinate stays the same.

Then the final transformation is reflecting over y = -x using the rule (x,y) \to (-y, -x). Therefore, the point (2,1) moves to (-1, -2) which is where T'' is located in the diagram.

You apply the same two transformations for the points R and S to get R'' and S'' respectively.

Note: A composition of two reflections, where the lines of reflection aren't parallel, form a rotation. In this case, we have a 90 degree counterclockwise rotation when going from triangle RST to triangle R''S''T''.

4 0
3 years ago
Order the following numbers from least to greatest.
levacccp [35]

Answer: 98 meter below

15.24 meters below

122 meters above

1629 meters above

Step-by-step explanation:

6 0
3 years ago
How to find a circumference of a circle​
Dahasolnce [82]

Answer:

2πr is the formula to calculate

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need to check my answer
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
If segment DE is 12, what is segment BC?
katovenus [111]

Answer:

A) 24

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Amelia and Shabana win a sum of money, which they agree to share in the ratio 5:3.
    15·1 answer
  • If y= 3-xy find the value of when x = 1​
    15·2 answers
  • The measure of the vertex angle of an isosceles triangle is one-fourth
    6·1 answer
  • 25 less than the product of three and a number
    15·1 answer
  • Will power is comparing cost to join a gym will find Silver gym cost $100 to join in $15 per month he also found out the abs of
    7·1 answer
  • 4xy + 10yᒾ<br> Tui mún hỏii
    9·1 answer
  • What is 513 divided by 54
    10·2 answers
  • The graph of g(x) is shown. Determine the transformations from the parent function f(x)=x2 to the new function g(x)=15x2+5
    6·1 answer
  • (Multiple Choice) A five question multiple choice quiz has five choices for each answer. Use the random number table provided wi
    7·1 answer
  • At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!