Read the proof.

Given: AB ∥ DE

Prove: △ABC ~ △EDC

Triangles A B C and E D C connect at point C. Sides A B and D E are parallel.
Statement Reason
1. AB ∥ DE 1. given
2. ∠ACB and ∠ECD are vert. ∠s 2. definition of vertical angles
3. ∠ACB ≅ ∠DCE 3. vertical angles are congruent
4. ∠BDE and ∠DBA are alt. int. ∠s 4. definition of alternate interior angles
5. ∠BDE ≅ ∠DBA 5. alternate interior angles are congruent
6. △ABC ~ △EDC 6. ?
AA similarity theorem
ASA similarity theorem
AAS similarity theorem
SAS similarity theorem

Answer:

Its AA similarity theorem

Step-by-step explanation:

correct on edge 2021

The triangles ABC and EDC are similar by AA similarity theorem.

Two triangles are said to be similar if their corresponding sides are in equal ratio and corresponding angles are congruent.

Given is a proof of showing △ ABC ~ △ EDC

The proof is as follows :-

           Statement                                                Reason

            AB ∥ DE                                                     Given

         ∠ ACB = ∠ ECD                           definition of vertical angles  

         ∠ BDE ≅ ∠ DBA                   alternate interior angles are congruent

         △ ABC ~ △ EDC                                 AA similarity theorem

AA similarity theorem :-

AA similarity theorem states that when two corresponding angles of two triangles are found congruent then the triangles are similar by AA similarity theorem.

Hence, the missing reason is AA similarity theorem.

For more references on AA similarity theorem, click;

https://brainly.com/question/24167205

#SPJ2

A regular garden hose can pump 1,200 gallons of water in 2 hours. What is the unit rate of
the water flow measured in gallons per minute?

A right rectangular prism is packed with cubes of side length inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?



1)

cubic inches

2)

cubic inches

3)

cubic inches

4)

cubic inches

select the factored form of this expression if it cannot be factored select already factored 2x-4
(A) already in factored form
(B) 2(x^2-2)
(C) (2x-2)(2x+2)
(D) 2x(x-2)

Suppose you draw two cards from a standard 52-card deck. Find the probability, when both cards are drawn without replacement, that the first card is a spade and the second card has a different suit.

You buy 6 items for $25,60. About how much did you spend?

Membership for the Alpine rock-climbing gym costs $12 per month plus a $120 sign-up fee. Membership for Rocco’s rock-climbing gym costs $20 per month plus a $60 sign-up fee.

After how many months will the memberships cost the same?

Solve a=2b - c for b.

1 1/2 divided 3/5 i am stuck on this question

1.43 x 10 to the 9 power

Convert F2 from hexadecimal to binary.

which ONE DOES NOT BELONG? 5231+4331=9462 or 3696+6936=10 635 or 1842+1614=3456 or 2184+4182=6996

Rachel ate 1/8 of the pepperoni pizza and 1/4 of the cheese pizza. How much of a pizza did she eat?

How many minutes does it take the snail to get 9 inches from the rock

Can anyone tell me whats the answer to this?​

3 3/4x1/5 in fraction

A recipe has a ratio of 2 cups of dark soy sauce to 3 cups of light soy sauce. How many cups
of dark soy sauce are there for each cup of light soy sauce?

is 4kg greater than 4000g

Tnak you guys for giving me brainliest i really appreciate it. THANK U ALL!!!!!!! :D

Milo pays $3 per pound for dog food at Pat’s Pet Palace. The graph below represents the cost per pound of food at Mark’s Mutt Market. At which store will Milo pay a lower price per pound for dog food?

what is 100-402-05-340-03-50-405-30-40-304=304=-503=5034x
find X

-w/20=-2.5 help please its due today

PLEASE!!!! I NEED HELP!!! 50 POINTS!!!
1.Mrs. Thomas is designing a rectangular pool for her backyard. The width of the pool is 71/2 feet shorter than twice its length. The perimeter of the pool is 75 feet. What is the length of the pool?

2.Callie’s dad is installing a fence in the rectangular backyard. He purchased 110 feet of fencing and plans to use all the fencing. The width of the fenced area will be 5 feet less than twice the length of the fenced area. What is the length of the fenced area?

3.A rectangular television’s length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?

HELP ASAP 30 POINTS

Im getting a bit desperate now so i raised the price. please answer this:
Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 54.7°F​, what will be the temperature when the plane reaches an altitude of 4,000 ft​?

Helpppppppppppppppppppppppppp

Two natural numbers differ by 1 and add to give 35. Find the smaller number. google it and answer will come,I just need answer pls.. It is blocked on my school chromebook soo...

The temperature dropped 12 degrees in 3 hours.How many degrees dropped per hour?

A history teacher gives a 19-question true-false exam. In how many ways can the test be answered if the possible answers are T or F or possibly to leave the answer blank?

10. If f(x) = { 2x-5 if x < 4
and f(x) {-2/3 x + 2 when x > 4 What is f(3)?
A.) 1
B.) 3
C.) -1
D.) 3
E.) None of these

What are the intercepts of the equation? 5x + y = 30​

A __________ is a claim or assertion either about one or more population or process characteristics (parameters) or else about the form of the population or process distribution.