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
seraphim [82]
3 years ago
9

A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent

. Give kite WXYZ, show that at least one of the diagonals of a kite decomposes the lite into 2 congruent triangles
Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Given: Kite WXYZ

Prove: That at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.

A diagonal is a straight line from one vertex to another of a given shape or figure.

Considering diagonal WY of the kite,

<WYZ ≅ <WYX (diagonal WY is the bisector of <Y)

<ZWY ≅ <XWY (diagonal YW is the bisector of <W)

WZ ≅ WX (congruent property)

YZ ≅ YX (congruent property)

Thus,

ΔWYZ ≅ ΔWYX (Angle-side-Angle congruent property)

Therefore, the given kite can be decompose into 2 congruent triangles (ΔWYZ and ΔWYX).

You might be interested in
At a competition 24 of the 40 members of a middle school band won a medal.what percentage of the band won a medal?
Maru [420]

Answer:

60% of the band won a medal.

Step-by-step explanation:

=24/40*100

=2400/40

=60%

Therefore, 60% band won a medal.

7 0
3 years ago
Use linear combination. To solve system <br> -2x+7y=10<br> X-3y=-3
Tamiku [17]
-2x + 7y = 10 ⇒ -2x + 7y = 10
   x - 3y = -3   ⇒ <u>-2x + 6y = 6  </u>
                                      y = 4
                         -2x + 7(4) = 10
                           -2x + 28 = 10
                          <u>         -28   -28</u>
                                   <u>-2x</u> = <u>-18</u>
                                    -2      -2
                                       x = 9
                                  (x, y) = (9, 4)
3 0
3 years ago
Read 2 more answers
1) A regular hexagon is mapped onto itself every time it is rotated
Ira Lisetskai [31]
A regular hexagon has angles that measure 360/6=60°, between 0° and 360°, the multiples of this angle is 120°, 180°, 240°, 300°. Thus when the hexagon is rotated through this angles, it will be mapped onto itself. When rotated through any other angle, the same result won't be possible.
Thus we conclude that the hexagon it's mapped into itself every time it is rotated.
5 0
3 years ago
A recipe of 3 1/4 cups of flour serves 15 people. Write a proportion tp find the number of servings that 4 1/2 cups of flour mak
victus00 [196]
When u are cooking u use measurements for the recipe if u only have a 1 1/2 cups of milk but u need 2 1/2 u can subtract to see how much more milk is needed
5 0
3 years ago
Trigonometry word problem
AysviL [449]
Where’s the problem at??
3 0
3 years ago
Other questions:
  • A motorcyclist travels 98 km in 1 hour 10 minutes.calculate his average speed ,giving your answer in kilometres per hour.
    8·2 answers
  • The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i
    7·2 answers
  • What is the answer ?
    7·1 answer
  • What is the value of n in the equation below? 12^n/ 12^5
    10·2 answers
  • 15 POINTS AND WILL MARK BRAINLIEST Help?? Pleasee
    13·1 answer
  • In New York a crowed subway has 375 passengers distributed between 5 cars. What is the unit rate for each subway car?
    6·1 answer
  • Explicit and Recursive Functions:
    5·1 answer
  • tina baked 552 chocolate chip cookies. she placed these cookies into boxes each contain 6 cookies. if she sell each box for $50,
    11·1 answer
  • Witch expression is not equivalent to -3x-1/2+4y
    8·1 answer
  • A teacher is cutting pieces of tape for the marshmallow challenge.The roll of tape is 16.8 meters long and each piece measures 1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!