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
Semenov [28]
2 years ago
15

Use a paragraph, flow chart, or two-column proof to prove that ZX is the perpendicular bisector of side WY.

Mathematics
1 answer:
balu736 [363]2 years ago
5 0

Answer:

The proof is given below.

Step-by-step explanation:

Given:

∠WZX ≅ ∠YZX

ZW ≅ ZY

To Prove:

ZX is a perpendicular bisector of WY

Proof:

In  Δ WZX  and Δ  YZX

 Statement                             Reasons

ZW ≅ ZY                              ……….{Given}

∠WZX ≅ ∠YZX                …………..{Given}

ZX ≅ ZX                              ……….{Reflexive Property}

ΔWZX  ≅ ΔYZX                       ….{Side-Angle-Side test}

WX ≅ YX                      ....{corresponding sides of congruent triangle or cpct}

∠ZXW ≅ ∠ZXY           ...{corresponding angles of congruent triangle or cpct}

But W-X-Y is a straight Line

\angle ZXW +\angle ZXY = 180       ...Linear pair postulate

2\times \angle ZXW =180

\angle ZXW =\dfrac{180}{2}=90\°

∴      WX ≅ YX                     {ZX bisects WY}

   ∠ZXW ≅ ∠ZXY = 90°     {ZX Perpendicular WY

∴ ZX is a perpendicular bisector of WY

You might be interested in
Plsss helppp, tysmm!!
Vinvika [58]

Answer:

It should be PT and NO

Hope this helps!

4 0
3 years ago
Help. Do not take advantage of the points, please.
Arte-miy333 [17]

Answer:

?

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
If 3x + 6 = 18, then x = ?
zaharov [31]

Answer:

X=4

Step-by-step explanation:

3x + 6 = 18 \\ 3x = 18 - 6 \\ 3x = 12 \\ x = 4

7 0
3 years ago
The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13,
Vitek1552 [10]
The mode of the values listed is 9.
3 0
2 years ago
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0
3 years ago
Other questions:
  • What times what equals to 810
    9·2 answers
  • Peter earns $1.50 for every cup of lemonade he sells. Write an equation that shows the relationship between the number of cups s
    10·1 answer
  • Maria works for an automobile dealership. She earns a 10% commission on each motorcycle she sells and a 15% commission on each c
    15·2 answers
  • I need help! I already asked this but both the answers came out as wrong. Help please?
    8·1 answer
  • Write an equation in slope-intercept form
    6·1 answer
  • Where does the money come from that is used to pay taxes?
    13·2 answers
  • Solve a=b+3/c-2 for c
    6·1 answer
  • These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and
    9·1 answer
  • Plz help i really need it <br> i beg i will give brianlist
    12·2 answers
  • Pleade god help me find a person that is sweet enough to help me thank you to anyone who will help me
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!