The proof that ΔACB ≅ ΔECD is shown.

Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD

Triangles A B C and C D E share common point C.

A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.

What is the missing statement in the proof?

∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCAThe proof that ΔACB ≅ ΔECD is shown.

Given: AE and DB bisect each other at C.
Prove: ΔACB ≅ ΔECD

Triangles A B C and C D E share common point C.

A flow chart has 5 boxes with arrows facing downward connecting the boxes. Each of the boxes are labeled. Box 1 contains line segment A E and line segment B E bisect each other at C and is labeled given. Box 2 contains line segment A C is-congruent-to line segment E C and is labeled definition of bisector. Box 3 contains question mark and is labeled vertical angles theorem. Box 4 contains line segment D C is-congruent-to line segment B C and is labeled definition of bisector. Box 5 contains triangle A C B is-congruent-to triangle E C D and is labeled SAS.

What is the missing statement in the proof?

∠BAC ≅ ∠DEC
∠ACD ≅ ∠ECB
∠ACB ≅ ∠ECD
∠BCA ≅ ∠DCA

Answers

Answer 1

Answer:

C. angle ACB is congruent to angle ECD

Step-by-step explanation:

If you drew it out, all you had to figure out from the proof was what a vertical angle is and where are those angles.

Brainliest?

Hope this helps.

Just took the test edu2020

Answer 2

Congruent triangles are similar triangles.

The statement that completes the proof is [tex]\mathbf{\angle ACB \cong ECD}[/tex]

From the complete question (see attachment), we have the following highlights

[tex]\mathbf{AC\cong CE}[/tex].[tex]\mathbf{BC\cong CD}[/tex]

The angle at point C of both triangles are congruent

i.e. [tex]\mathbf{\angle ACB \cong ECD}[/tex]

This means that the missing statement of the proof is that the angles at C of both triangles are congruent.

Hence, the statement that completes the proof is [tex]\mathbf{\angle ACB \cong ECD}[/tex]

Read more about congruent triangles at:

https://brainly.com/question/4364304


Related Questions

Whoever remembers this and knows how to do dis answer correctly plz!!
It’s just simple (Grade5fractions)
(WILL MARK AS BRAINLIEST) promise!
:D

Answers

Answer:

1.  5/7 2. 8/9 3. 5/8

Step-by-step explanation:

They are all closer to one whole

Answer:

1. 5/7

2. 8/9

3. 5/8

I'm pretty sure this is correct

20 POINTS!!! I need someone's help fast, like seriously fast!!
1. Find the value for X in 15x + 5
2. Also find the value of X in 22x + 4

Answers

Answer:

For the first one the value of X will be 3 and the second one the value of X will be 5.5

Step-by-step explanation:

All you're really doing for expressions like this are dividing the whole number into the number with the variable. for example, i took 5 and divided it into 15x which gave me 3 so the X will equal 3. Hope I helped

What is 100 x 1.5 plz help me

Answers

Answer:

150

Step-by-step explanation:

M is the midpoint of LN. If LM = 3x and MN = x + 8, what is MN?

Answers

Answer:

12

Step-by-step explanation:

Since M is a midpoint of LN, we can see 3x equal to x+8. Remove 1 x to get 2x=8. Solve for x to get x=4. Note that this is not the end to your problem. They asked for the length of MN, not the value of x. Plugging x into MN give you 4+8, which is 12.

(If you need to show work, here it is)

3x=x+8

2x=8

x=4

MN=x+8

MN=4+8

MN=12

Dorothy is trying to estimate 20. She uses this table of values:
Square 4.02 4.12 4.22 4.32 4.42 4.52
Value
16.0 16.8 17.6 18.5 19.4 20.3
Square 4.62 4.72 4.82 4.92 5.02
Value
21.2 22.1 23.0 24.0 25.0
What should she do next to find 20 to the nearest hundredth?
O A. She should estimate that 20 is 4.50.
B. She should find the average of 4.4 and 4.5.
O C. She should find the squares of numbers between 4.5 and 4.6.
D. She should find the squares of numbers between 4.4 and 4.5.

Answers

Answer:

D

Step-by-step explanation:

im taking the test for math on apex

Answer:

Step-by-step explanation:

The nice correct answer is D your welcome

The equation 50=36.50+0.10m represent the additional number of messages roboerto can send with a budget of $50 .solve the equation to find the number he has left to send

Answers

Answer :
M = 135

Step by Step Explanation :
See the photo attached :) it’s kinda hard to explain in words but you cancel out the 36.50 by subtracting it on both sides, and then the equation becomes 13.50 = 0.10m. Since we have to get the m by itself, you cancel out the 0.10 by subtracting on both sides, and it leaves you with 135 = m

(Ignore my messy handwriting on a post it :3)

I hope this helped! If u have any questions feel free to comment on this!

write 2 numbers that multiply to the value on top and add to the value on bottom.​

Answers

Answer:

-11 and -5

Step-by-step explanation:

-11 x -5 = 55, and add to -16

WHAT IS 15.7188888888 X 18 TO THE POWER OF SIX DIVIDED BY 7 Plus 3

Answers

I think it is green

A jet travels 560 miles in 5 hours. At this rate, how far could the jet fly in 12 hours?

Answers

Step-by-step explanation:

560 miles = 5 hours

x miles = 12 hours

x= (12*560)/5

x = 1344 miles

Answer: 1344 miles

Step-by-step explanation:

See attached picture

which expression is equivalent to 54.5-6?​

Answers

Answer: 5-6•54

Hope this helps (:

adding rational numbers:
after swimming 60 feet below the surface of the water, a whale swims up 30 feet. use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.

ANSWER:

A. The equation is -60 + 30 = 30. The whale is 30 feet below the waters surface.

B. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.

C. The equation is -60 + 30 = -90. The whale is 90 feet below the waters surface

D. The equation is -60 + (-30) = -30. The whale is 30 feet below the waters surface.​

Answers

Answer:

First, in standard notation, we must define our zero.

In this case, would make sense to define the zero in the surface of the water.

(below is a number line so you can see the process to think this)

Then if the whale is swimming 60ft bellow the surface of the water, then the first position of the whale is:

-60

Now the whale goes up 30ft, then the new position of the whale is:

-60ft + 30ft = -30ft.

The correct option is A:

The equation is -60 + 30 = -30. The whale is 30 feet below the water's surface.

(you wrote that the equation was equal to +30 instead of -30 in the option A, i supposed that it was a typo)

Answer:

I belive the answer is A.

Step-by-step explanation:

Which of the following is not a function?

Answers

Answer:I think the first 1 tell me if I’m right

Step-by-step explanation:

Which best explains why this triangle is or is not a right triangle?

Answers

Answer:

B

Step-by-step explanation:

henry can write 5 pages of his novel in 3 hours at this rate how many pages can henry write in 8 hours​

Answers

Answer:

Henry can write 13 pages in 8 hours.

it can also be written as 13.3

ANSWER40/3 =13.3 pages

Which of the following territories became part of Unified Italy?
A) Saxony
B) Sardinia
C) Hanover
D) Bavaria

Answers

Answer:

b, Sardinia

Step-by-step explanation:

4.5 is how many times the value of 1.5?

Answers

Answer:

3 times

Step-by-step explanation:

1.5 times 3 equals 4.5

Evaluate 5|x³ - 2| + 7 when x = -2.

Answers

Answer:

57

Step-by-step explanation:

Step 1: Define

5|x³ - 2| + 7

x = -2

Step 2: Substitute and Evaluate

5|(-2)³ - 2| + 7

5|-8 - 2| + 7

5|-10| + 7

5(10) + 7

50 + 7

57

Answer:

57

Step-by-step explanation:

5×|-8-2|+7 ; x = -2

5×|(-2)^3-2|+7

5×|-8-2|=7

5×|-10|+7

5×10+7

50+7

57

If Nicholas is located at (–3, 2), what is the distance to get to the grocery store?
A. 2
B. 3
C. 4
D. 5

Answers

Answer:

it would be D 5 hope this helps :)

Step-by-step explanation:

(3,-7) and (9,-5) slope

Answers

Answer:

1/3

Step-by-step explanation:

Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 8s−(5s+6)=12(20+6s)

Answers

Answer & Step-by-step explanation:

8s - (5s + 6)= 12(20+6s)

8s - 5s - 6 = 240 + 72s

3s - 6 = 240 + 72s

-246 = 69s

s= -246/69

s = - 3 13/23

Hope this helps!!!

11. Identify the properties below.
a. 5 + 6 = 6 + 5
b. 7 + (3 + 9) = (7 + 9) + 3

Answers

A is commutative property
B is associative property
Explanation:

write 9 x 9 x 9 x 9 x 9 x 9 x 9 using a positive exponent

Answers

It’s 9 to the seventh power because the 9 is repeated 7 times!

Answer:

9 to the 7th power

Step-by-step explanation:

Write the equation of a line that is parallel to y =1/2x + 9 and goes through the point (-2,2)

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

The slope of a parallel line is the same as the original.

Find the new y-intercept.

y = 1/2x + b

2 = 1/2(-2) + b

2 = -1 + b

3 = b

y = 1/2x + 3

Best of Luck!

Marva needs at least $130 to buy a
new dress. She has already saved
$58. She earns $8 an hour
tutoring. Write and solve an
inequality to find how many hours
she will need to tutor to buy the
dress.

Answers

Answer:

130=8x+58

Step-by-step explanation:

EZ!

Answer:

9 hours

Step-by-step explanation:1

130 = 58 + 8h

-58   -58

72 = 8h

÷8   ÷8

9 = h

9 hours

What is the domain of the relation?
Oa. {-1,0, 1, 3)
Oc. { -2,-1, 0, 1, 2, 3}
Ob.{-2, 0, 1,3}
Od. {0, 1, 2, 3}

Answers

Answer:

(03.01) The domain of a relation is the output (y) values of the relation the input (x) values of the relation a set of points that pair input values with output values x and y values written in the form (x, y)

{-2, -1, 0, 1, 2, 3} representing the domain of the relation.

What is a function?

A relation is a function if it has only One y-value for each x-value.

To determine the domain of a relation, we need to identify all possible values for the input or independent variable.

In this case, without any further information, we can look for the set of numbers provided in the answer choices and determine which set includes all possible values for the input.

Looking at the given answer choices:

A. {-1, 0, 1, 3}

B. {-2, 0, 1, 3}

C. {-2, -1, 0, 1, 2, 3}

D. {0, 1, 2, 3}

Since there is no specific information or restrictions mentioned, the most inclusive set that covers all possible values for the input variable is {-2, -1, 0, 1, 2, 3}.

Therefore, {-2, -1, 0, 1, 2, 3}, representing the domain of the relation.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Why can you always multiply mixed numbers if you know how to multiply fractions???

Answers

Answer:

If mixed numbers are

a b/c and d e/f

You can write them as a sum of a whole and fraction and use the distributive property of multiplication:

a b/c × d e/f =(a + b/c) × (d + e/f) =ad + a(e/f) + d(b/c) + (b/c)(e/f)

Write as a decimal : twenty-eight ten- thousandths

Answers

Answer:

28.0001

Step-by-step explanation:

im pretty sure

The basketball team sold pizzas for a fundraiser. They sold large pizzas for $15.00 and medium pizzas for $12.00. If the basketball team sold 96 pizza all together and made $1356, how many of each type of pizza did they sell?

Answers

Answer:

93 large, 3 medium

the first thing you gotta do is find the least amount of the smaller number that you can take away until it becomes a  multiple of the largest number.

1356-12(1)

1344-12(2)

1332-12(3)

1320 12 factored into 1356 3 times before we reached a multiple of 15 so we subtract 3 from the total number of pizza sold and we have 93 large pizzas and 3 medium pizzas

disclaimer: as I am a human I might be wrong have a nice day

I WILL GIVE BRAiNLIEST TO FIRST PERSON WHO ANSWERS

Answers

Answer: 6 and 5

Step-by-step explanation:

Answer:

I will give you brainliest if you give me.    :)

Step-by-step explanation:

Answer ASAP



All of the following have the same value except _____.

9 + (-6)
6 - 9
9 - 6
-6 - (-9)

Answers

Answer:

All of the following have the same value except 6-9.

Step-by-step explanation:

9+(-6)=POSITIVE 3

9-6=POSITIVE 3

-6-(-9)=POSITIVE 3

6-9=NEGATIVE 3

Hope this Helps

<

Answer:

-6-(-9)

Step-by-step explanation:

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