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
ElenaW [278]
3 years ago
15

Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5

) and H(6, 5); where could points J and K be located? Group of answer choices J(6, 2); K(2, 2) J(6, 4); K(2, 4) J(6, 9); K(2, 9) J(6, 7); K(2, 7)
Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

J (6,2) K (2,2)

Step-by-step explanation:

Now distance of AB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

                                = 8 units

CB =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 6 units by using same formula

Now AB/CB must equal to GH/HJ as rectangles are similar

GH =  [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 4 units

so

8/6 = 4/HJ

So,

HJ = 3 units

Now if we see the coordinates given carefully, it is obvious that two perpendicular lines lie perfectly parallel to x and y coordinates in rectangle ABCD.  A is (-7,-2) and B is (1,-2) which means distance along y-axis doesn't change. Similarly for C (1,-8) and D (-7,-8), one can see that distance between y-axis doesn't change. So lines AB and CD of rectangle are parallel with x and AD and BC are parallel with y-axis.

In rectangle GHJK one can see that in given coordinates, G(2,5) and H(6,5), y coordinate is same so it is parallel to x axis. Now, HJ is perpendicular to GH so it must be parallel to y axis. It means if we know the lengths of sides we can easily determine unknown coordinates by simple addition and subtraction.

So,  we know HJ = 3 units

J is (6,2) since HJ is parallel to y axis so distance on x axis will remain unchanged and length of line HJ will effect distance of y axis.

Similarly K is (2,2) for the same reason.

You might be interested in
Simplify this expression.
Grace [21]
11x2 would be your answer.
6 0
3 years ago
Read 2 more answers
Please help me out with this question thank you ❤️
devlian [24]

Answer:

log

2

8

=

3

→

8

=

2

3

Step-by-step explanation:

7 0
3 years ago
A school sells T-shirts to promote school spirit. The school's profit is given by the function P(x) = 8x - 150, where * is the n
Andreyy89

Answer:

Step-by-step explanation:

7 0
2 years ago
Write a fraction that is less than 5/6 and has a denominator of 8
7nadin3 [17]
\frac{5}{6}=0.8(3) \\ \\ \frac{x}{8} < \frac{5}{6} \\ \\ \frac{x}{8} < 0.8(3)\\\\ \boxed{x= \{1,2,3,4,5,6 \}}
4 0
3 years ago
Read 2 more answers
What is the value of x in the following equation? <br> y=3x-5 <br> 6x+3y=15
tatiyna
The value of x is 2. because you rule out y so it is 6times2is 12+3. that is 15

8 0
3 years ago
Read 2 more answers
Other questions:
  • What cross section results when you cut a cylinder perpendicular to its base?
    13·1 answer
  • How do u Graph Y&lt;-1/4x-1
    12·1 answer
  • A new computer system sells for approximately $2000 and depreciates at the rate of $500 per year.
    6·1 answer
  • Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If bot
    10·1 answer
  • The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyram
    8·1 answer
  • What is the value of the fraction of -3/4 divided 2/5
    13·1 answer
  • BRANIEST !!!!!!!! PLEASE HELP!!!!
    12·2 answers
  • **Ms. Soffer paid $42.75 for 9 boxes of gummies for the state test last year. This year she will need to order 13 boxes of gummi
    5·2 answers
  • Use substitution to solve each system of equations.
    14·1 answer
  • given that g(×)=<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%203%7D%7Bx%20%20%2B%204%7D%20" id="TexFormula1" title=" \fr
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!