Triangle CDA is the image of triangle ABC after a 180º rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180º rotation around the midpoint of segment BC.Triangle CDA is the image of triangle ABC after a 180º rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180º rotation around the midpoint of segment BC.



Explain why ABCD and ABEC are parallelograms.

Triangle CDA Is The Image Of Triangle ABC After A 180 Rotation Around The Midpoint Of Segment AC. Triangle

Answers

Answer 1

Answer:

Because parallelograms can be divided into two equal triangles of different orientations.

Step-by-step explanation:

Rotation is a process in which a given shape or point is turned about a reference point or line to produce the image of the initial shape, both having different orientations. It is one of the types of solid transformation.

Since,

ΔCAD = ΔABC but of different orientations, then ABCD is a parallelogram.

Also,

ΔABC = ΔECB, so that ABEC is a parallelogram.

So then:

ΔCAD = ΔABC = ΔECB

Therefore, ABCD and ABEC are parallelograms.


Related Questions

Please help!!!!!!!!!

Answers

Answer: B

Step-by-step explanation:

The line is curved which makes it a non-linear function.

the answer you are looking for is B

Mhm sorry but I need help on this

Answers

Answer:

x>2

Step-by-step explanation:

Answer:   [tex]x \ge 2[/tex]

The x part is already taken care of, so you'll fill the rest into the box.

On a keyboard you could type x >= 2 to mean [tex]x \ge 2[/tex]

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

Explanation:

We have a closed or filled in circle at x = 2. This means 2 is included in the shaded region solution set. So we'll have "or equal to" as part of the inequality.

We'll also have "greater than" because how the shading is to the right of the closed circle.

So put together that's why the graph represents [tex]x \ge 2[/tex]

Something like x = 5 is a solution because [tex]5 \ge 2[/tex] is true

Something like x = 0 is not a solution because [tex]0 \ge 2[/tex] is false

solve the equation 2x*2 - 4x = 2

Answers

Answer:

-1/2 or no solution (depends on what the teacher is asking)

Step-by-step explanation:

2x*2 - 4x = 2

combine like terms

-2x*2=2

divide by 2

-2x=1

divide by -2

x= -1/2

Please respond ASAP (Free response be specific and explain ! thanks )

Answers

Answer:

No it's not, because a square has all the sides equal, but this hasn't, therefore it's not a square

The slope of the line is 1 The graph represents one side of the roof of a building 16 14 12 101 Vertical Distance (feet) 8 2 x 1 2 3 4 5 6 7 8 Horizontal Distance (feet)​

Answers

A slope is also known as the gradient of a line. The slope of the line is 7/2.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The two of the points that lie on the line are (0,0) and (4,14). Therefore,

The slope of the line is,

Slope, m = (14-0)/(4-0) = 14/4 = 7/2

Hence, the slope of the line is 7/2.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ2


Sanad has a piece of wood that is 3/4 of a meter in length. He needs to cut pieces that are 1/16 of a meter long. How many pieces can Sanad cut?

Answers

Answer:

12

Step-by-step explanation:

The answer is a complex fraction division. The easiest way to do it is likely to convert both fractions to a decimal.

3/4 = 0.75

1/16 = 0.0625

Now do a division

0.75 / 0.0625 = 12

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

You could do it the old fashioned way by doing a division of fractions.

3

----

4

======

1

-----

16

Invert the bottom fraction and multiply by the top fraction.

1/16 inverted becomes 16/1

3          16

===x  =====

4           1

48/4 = 12

I think you will agree that the first method is a bit easier.

I am less than 10.
I am not a multiple of 2.
I am a composite number.

Answers

Answer:

9.

Step-by-step explanation:

You are 9 ( 9 = 3*3 so it is composite).

Answer:9

Step-by-step explanation:

because 9 is not a multiple of 2, it is less than 10, and  it is also a composite #

Team A has 12 more points than team b team A has 5 times as much points as team b

Answers

Answer:

make no sense

Solve
-25 = -3x + 2
4x - 2 = 18
3- 6x + 5 + 10x - 1

Answers

Answer:

Ok, so if the top line (-25 = -3x + 2) is separate and the second line is separate (4x - 2 = 18) then the answer is x = 9 and  x = 5

Step-by-step explanation:

Can you please elaborate on what the equations are? I will still answer the question.

Answer: x=1+2/21

Step-by-step explanation:

What is the surface area of the shape?

Answers

I believe the surface area would be the two measurements up top multiplied.
7 ft * 9.4 ft which would equal 65.8 ft
I found this by using the formula A=L*W

3.2 divided by 592.8

Answers

Answer:

0.0005

Step-by-step explanation:

       0 0. 0 0 5

5 9 2 8 3 2. 0 0 0

     − 0        

       3 2      

     −   0      

       3 2 0    

     −     0    

       3 2 0 0  

     −       0  

       3 2 0 0 0

     − 2 9 6 4 0

         2 3 6 0

Compare 9 ⋅ 104 with 3 ⋅ 102

Answers

Answer:

1. 936

2. 306

They both are multiples of 3 and only include multiples of 3.

Step-by-step explanation:

You decide to go to the movies for your birthday. You need to buy 8 student tickets and 2 adult tickets. If student tickets are $10.68 and adult tickets are $13.68, how much do the tickets cost in total?

Answers

Answer:

$112.80

Step-by-step explanation:

You are buying 8 student tickets, each costing $10.68. Multiply 8 with 10.68:

10.68 x 8 = 85.44

You are buying another 2 adult tickets, each costing $13.68. Multiply 2 with 13.68:

13.68 x 2 = 27.36

Next, add the two costs together:

27.36 + 85.44 = 112.80

$112.80 is your total cost.

~

Answer:

112.80

Step-by-step explanation:

multiply 8 by 10.68 and 2 by 13.68 add together

Evaluate [(51 + 3) − 32] ÷ 9 ⋅ 2.

Answers

Answer:

2.39130435

Step-by-step explanation:

[(51+3)-32]÷9.2

[54-32]÷9.2.

22÷9.2

2.39130435

[(51 + 3) - 32] / 9 * 2
work on the problem in the parenthesis, then brackets
[54 - 32] / 9 * 2
22 / 9 * 2
work from left to right
198 * 2

396


Please help I got 30 mins left

Answers

Answer:

I think the correct answer is C

f(x) = – 2x^2+ 6x + 1
Find f (6)

Answers

Answer:

f(6) = -2(6)² + 6(6) + 1

f(6) = -72 + 36 +1

f(6) = -35

Answer:

−107

Step-by-step explanation:

−107 just did it

what was Allen's mistake

Answers

Answer: He did not both sides by 100. He did not look for the common denominator before solving.

x is actlly equal to 64

A line is given by the formula y=x+2. Determine which of the following points belong to its graph: M(0, 2),N(1, 3), A(−1, 1), B(−4.7, −2.7), C(−2 1/2 , 1/2 ).

Answers

Answer: M, N, A, B

Step-by-step explanation:

Plug in x-value (add 2 to x-coordinate) and see if it matches the y-value. Only C isn’t on the graph because -2.5+2=-0.5, not positive 0.5.

Mae Ling earns a weekly salary of $330 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,100 worth of merchandise?

She would make $
.

Answers

Answer:

$637

Step-by-step explanation:

What is 903 divided by 3? and explaned

Answers

Answer:

301 is your answer

The answer to your question is 301. You take 903 and divide it by 3 either in a calculator or do long division which would look like this:

Carmen takes 1 breath every
4 seconds. How many breaths will she take
in 1 minute?

Answers

Answer:

15

Step-by-step explanation:

60/4 =15

Answer:

15 breaths

Step-by-step explanation:

60 divided by 4 is 15

PLEASW HELP ME I WILL BE MARKING BRAINLIEST answer

Answers

Answer:

Slope: 2

Equation: y=2x

Step-by-step explanation:

To find the quotient Three-fourths divided by one-eighth, what should I mutiply

Answers

Answer:

multiply Four-thirds by One-eighth.

multiply Three-fourths by 8.

multiply Four-thirds by 8.

multiply Three-fourths by One-eighth.

Step-by-step explanation:

if wrong just delete

Veronica can rollerblade 160 feet in 8 seconds. How many feet will she rollerblade in 30 seconds?​

Answers

600 feet. Hope this helps. :)

HELP ME! The figure shows Triangle ABC and some of its transformed images on a coordinate grid

Which of the four triangles was formed by a translation of Triangle ABC?

1
2
3
4

Answers

Answer: 4 hope this helps i love your prp

Step-by-step explanation:

The answer for this is 4

PLEASE HELP! :)
INVERSE OPERATIONS!!
WILL GIVE BRAINLIEST TO FIRST TO ANSWER ALL!! :)

Answers

Answer:

1. 7.5cm

2. 24 weeks

3. 63

4. 35%

Step-by-step explanation:

91*70%=63.7

125-43.75=81.25

100/125= 0.8*43.75=35

P=2l+2w

20=2l+2(2.5)

20=2l+5

-5      -5

15=2(l)

/2   /2

7.5=l

510-150=360

360/15=24

Enter the correct answer in the box. Consider the graph of the sixth-degree polynomial function f. Replace the values b, c, and d to write function f.
f(x)=(x-b)(x-c)^2(x-d)^3

Answers

Answer: (x - 1)(x + 1)^2(x - 4)^3

Step-by-step explanation:

First, remember that:

in expressions like: (x - b)^n

b is the value of x where the graph intersects the x-axis.

n can represent:

n = 1, the line just goes through the x-axis

n = 2, the line may change the direction (an inflection point), and touch the x-axis in one point.

n = 3, the line may have two inflection points when it intersects the x-axis.

Then we have the expression:

(x-b)(x-c)^2(x-d)^3

b is in the linear part, the graph crosses the x-axis linearly in x = 1.

c is in the quadratic part, the graph crosses the x-axis with one point of inflection at x = -1.

d is in the cubic part, the graph crosses the x-axis with two inflections in x = 4.

Then we can writhe the polynomial as:

f(x) = (x-1)(x-(-1))^2(x-4)^3 = (x - 1)(x + 1)^2(x - 4)^3

Answer:

(x - 1)(x + 1)^2(x - 4)^3

Create a quadratic equation where the graph will open downward and the vertex (5,12).

Answers

Answer:

The quadratic equation is y = - (x - 5)² + 12

Step-by-step explanation:

The vertex form of the quadratic function is

y = a(x - h)² + k, where

(h, k) are the coordinates of its vertex pointa is the coefficient of x²If a > 0, then the graph of it is open upward and the vertex point will be a minimum point.If a < 0, then the graph of it is open downward and the vertex point will be a maximum point.

In the question

∵ The graph is open downward

a < 0 (a is a negative number)

∵ The vertex point is (5, 12)

h = 5 and k = 12

Substitute them in the form of the equation

∴ y = a(x - 5)² + 12

→ To find a you must have a point on the graph of it to substitute

   x and y by its coordinates. because we don't have a point on

   the graph we can choose a any negative number.

∵ a is a negative number, let us choose it -1

∴ y = - (x - 5)² + 12

The quadratic equation is y = - (x - 5)² + k

the endpoints of cd are c(7,9) and d(4,-3) find the coordinates of the midpoint m

Answers

Answer:The endpoint of line CD are given.find the coordinates of the Midpoint M.

1: C(3,-5) and D(7,9)

2: C(-8,-6) and D(-4,10)

Step-by-step explanation: explanation:...

Learning
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S.5 Find a missing coordinate using slope 5C7
Learn with an example
A line that includes the points (-5, u) and (-4, 3) has a slope of -3. What is the value of u?
Submit

Answers

Answer:

The value of u is 6

Step-by-step explanation:

The rule of the slope of a line is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where

[tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points on the line

Let us use this rule to solve the question

∵ The slope of the line is -3

∴ m = -3

∵ The two points on the line are (-5, u) and (-4, 3)

∴ [tex]x_{1}[/tex] = -5 and [tex]x_{2}[/tex] = -4

∴ [tex]y_{1}[/tex] = u and [tex]y_{2}[/tex] = 3

→ Substitute these values in the rule of the slope above

∴ [tex]-3=\frac{3-u}{-4-(-5)}[/tex]

∴ [tex]-3=\frac{3-u}{1}[/tex]

→ By using cross multiplication

∴ -3 × 1 = 3 - u

∴ -3 = 3 - u

→ Add u to both sides to move u from the right side to the left side

∴ -3 + u = 3 - u + u

∴ -3 + u = 3

→ Add 3 to both sides to move -3 from the left side to the right side

∴ -3 + 3 + u = 3 + 3

∴ u = 6

The value of u is 6

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