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
MAVERICK [17]
3 years ago
9

Prove that the lengths of the diagonals of an isosceles trapezoid are equal

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
AD || BC 
<span>• AB = CD </span>
<span>• ∠BAD = ∠CDA (a given condition ∵ ABCD is an isosceles trapezium) </span>

<span>The diagonals AC and BD create two ∆'s: ∆ABD, and ∆ACD </span>

<span>The two ∆'s are congruent (SAS).  </span>
 
<span>(S): AB = CD </span>
<span>(A): ∠BAD = ∠CDA 
</span><span>(S): AD = DA (common side) </span>
<span>
The corresponding sides of the two ∆'s, BD and AC, are also congruent. </span>
<span>(the two diagonals of the trapezium/trapezoid) 
</span>
You might be interested in
What is the center and radius of the circle defined by the equation (x-4)^2+(y-7)^2=49
AlekseyPX

Answers:

Center = (4, 7)

Radius = 7

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

Explanation:

The general template of any circle is

(x-h)^2 + (y-k)^2 = r^2

This general circle has these properties:

  • Center = (h,k)
  • Radius = r

Based on the equation your teacher gave you, we see that

  • h = 4
  • k = 7
  • r = 7, since 7^2 = 7*7 = 49

Therefore, this circle has center = (4,7) and radius = 7

Side note: The center's y coordinate and radius aren't always the same value.

4 0
2 years ago
Read 2 more answers
Learning Task 1: Translate each of the following problem. Write your an swer in your notebook. 1. The quotient of $2 and 2 8 2.
finlep [7]

Answer:

1. 78/5

2. 12

3. 25/8

4. 48/35

5. 21/2

6 0
2 years ago
Mariah borrowed 15 books from the library last month. She's already read 2/5 of them. How many of the 15 books has she read?
Xelga [282]
She has read 6 of the books from the library.

6 0
3 years ago
Read 2 more answers
The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers?​
Irina-Kira [14]

Answer:

28/21

Step-by-step explanation:

28/21 is the equivalent to 4/3.

We know this is the fraction we are looking for because 28 + 21 = 49

Hope that helps!

4 0
2 years ago
Someone please help me I’ll give out brainliest please dont answer if you don’t know
natta225 [31]

Answer:

12.5(x  + 20) = 460 \\ x + 20 = 460 \div 12.5 \\ x + 20 = 36.8 \\ x = 36.8 - 20 \\ x = 16.8

Hence, 16.8 miles is your answer

3 0
3 years ago
Other questions:
  • Joshua currently earns $5000 a year from his lawn care business. He has two plans to increase his revenue. Plan 1 would increase
    12·1 answer
  • Would someone help me with this problem
    5·1 answer
  • To decide if 9cups are grater than 4 pints
    11·2 answers
  • X squared plus X equals six solve for X as if it’s a positive number
    14·1 answer
  • A regular heptagon has sides measuring 26mm and is divided into 7 congruent triangles. Each triangle has a height of 27mm. What
    12·1 answer
  • The vertex of this parabola is at (-2,5) which of the following could be its equation (apex)
    15·1 answer
  • A circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.
    14·1 answer
  • Please help!!!!! will mark brainliest
    12·2 answers
  • X
    12·1 answer
  • Which of the following are true? Select all that apply.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!