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
Damm [24]
3 years ago
15

Laura is designing a rectangular porch for her house. On her scale drawing, the vertices of the rectangle are (2, 7), (8, 7), an

d (2, 9). What are the coordinates of the fourth vertex?

Mathematics
2 answers:
mote1985 [20]3 years ago
7 0

Answer:

Coordinates of fourth vertex are (8,9)  

Step-by-step explanation:

Given that Laura is designing a rectangular porch for her house. On her scale drawing, the vertices of the rectangle are (2, 7), (8, 7), and (2, 9).

we have to find the coordinates of the fourth vertex.

As diagonals of rectangle bisect each other and are congruent then the coordinates of E is the mid-point of AC as well as BD.

By mid-point formula if (a,b) and (c,d) are the coordinates of line segment then the coordinates of mid point are

(\frac{a+c}{2},\frac{b+d}{2})      

Mid-point of AC= mid point of BD

(\frac{a+2}{2},\frac{b+7}{2})=(\frac{8+2}{2},\frac{7+9}{2})

(\frac{a+2}{2},\frac{b+7}{2})=(5,8)

Comparing both sides , we get

\frac{a+2}{2}=5 and \frac{b+7}{2}=8

a+2=10 and b+7=16

a=8 and b=9

Hence, coordinates of fourth vertex are (8,9)    

Semenov [28]3 years ago
4 0
It has to be (8, 9) because that would put the 4th corner above (8, 7) and right of (2, 9).
You might be interested in
Given: MNFD is a trapezoid. MF ⊥ ND , NK ⊥ MD , NK = h, MN = FD. Find: Area of MNFD
kodGreya [7K]
Solved ... you owe me :)
A = h^2 

5 0
3 years ago
Complete the proofs using the most appropriate method. may require CPCTC.
n200080 [17]

For the first one, you did good. I will just suggest a couple things.

Statement              Reason

JK ≅ LM                   Given

<JKM ≅ < LMK        Given  (You did both of these steps so well done.)

MK ≅ MK              Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)

ΔJMK ≅ ΔLKM        SAS

Problem 2: (You also have a lot of great stuff here.)

Statement          Reason

DE ║ FG              Given

DE ≅ FG              Given

<DEF≅<FGH       Given

<EDF≅<GFH       Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)

ΔEDF≅ΔGFH        ASA

<DFE≅<FHG       CPCTC  

3 0
3 years ago
Solve for x in the equation x^2+14x+17=-96
Goshia [24]
X²+14x+49+17=-96+49
(x+7)²=-64, x+7=±8i, x=-7±8i, so x=-7+8i or -7-8i.
5 0
3 years ago
Read 2 more answers
A fair coin is flipped eight times. What is the probability of the coin landing heads up exactly 2 times?
dimulka [17.4K]

Answer:

50%

Step-by-step explanation:

no matter how many times it is flip you will get heads or tails.

8 0
3 years ago
Read 2 more answers
If a population grows by 69%, what is the multiplier?
Alexeev081 [22]
The percentage duhhhh
7 0
3 years ago
Other questions:
  • find the distance between point A(-3,5) and point B(4,-6) in the coordinate plane. 1- What is the distance formula? 2- plug in t
    14·2 answers
  • 6. WILL MARK BRAINLIEST!!! HELP!!​
    15·1 answer
  • Alma got to the playground at 2:45.she spent 20 minutes on the swings and 10 minutes on the jungle gym. She played on the slide
    6·1 answer
  • PLEASE HELP ME! can someone explain this to me pls?​
    12·1 answer
  • Which statement correctly describes the end behavior of f(x)=ax+b, where a and b are positive numbers?
    14·1 answer
  • 48 people attended the Sunday matinee to watch a film. .Three over 8 of the people went to see a romantic comedy. .One over six
    7·1 answer
  • ANSWER NOW!!!!!!!!!!!!!!! Max remodeling his living room and is having carpet installed. The installation fee is $300.00. The ca
    15·2 answers
  • Twix bars cost $1.29.each. If you buy 10 bars, how much<br> change will you receive from $20?
    7·2 answers
  • 7y+3=3x+11 <br> find x and y
    12·1 answer
  • Flori’s Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowe
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!