How does performing a rigid motion transformation help you prove congruence?

Answers

Answer 1

Only if two figures can be precisely mapped to one another using transformations are two figures said to be congruent.

What is congruence?


A "matching" figure is one that can be placed perfectly on another. The bread has the same size and form when it is stacked. Match refers to objects that are precisely the same size and form. If one of two geometric figures can be consistently overlaid on the other, they are said to be congruent or to be in a congruent relationship.

Only if two figures can be precisely mapped to one another using transformations are two figures said to be congruent. Due to the stiff transformations' preservation of the distance and angle scales, all related sides and angles are congruent.

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Related Questions

Which equation best represents the relationship between x and y shown in the table.

Answers

Answer:

the answer is D) y=2x+2

as

2=2*0+2

10=2*4+2

18=2*8+2

hope this helps

please please please help me ​

Answers

Answer:

Option B

Step-by-step explanation:

Given function is,

p(x) = x²- (2√2)x + 1

We have to find the value of p(2√2).

By substituting the value x = 2√2

p(2√2) = (2√2)² - (2√2)(2√2) + 1

           = 8 - (2√2)² + 1

           = 9 - 8

           = 1

Therefore, Option B will be the correct option.

does anybody know the answer?

Answers

Step-by-step explanation:

y=3/4x+1

because we resiprocal the -3/4x+1

Analyze the diagram below and complete the instructions that follow.
S
T
U
vo
ro
R
If ARST is an equilateral triangle, find x and y.

Answers

Answer:

x = 120

y = 30

Step-by-step explanation:

Given that RST is equilateral, each of its interior angles will be 60 degrees

Looking at x, it lies on a starting line with one of the interior angles of RST

The sum of angles on a straight line is 180

Thus;

x + 60 = 180

x = 180-60

x= 120

Looking at triangle RSU, the markings indicates that we have an isosceles triangle

For an isosceles triangle, the base angles are equal in value

This means that SRU is also y

Mathematically, the sum of angles in a triangle is 180

Hence;

x + y + y = 180

x + 2y = 180

120 + 2y= 180

2y = 180-120

2y = 60

y = 60/2

y = 30


the inequality sign.
If you multiply or divide both sides of an inequality by a negative number, you must
А
double
reverse
С
subtract
D
add an equal sign to

Answers

Reverse the inequality sign.

Translate story problems into equations. Solve equations. Translate story problems into inequalities.

Answers

Translate story problems into equations. Solve equations. Translate story problems into inequalities.

Step-by-step explanation:

solve inequalities

by:

Add (or subtract) a number from both sides

Multiply (or divide) both sides by a positive number

Simplify a side

WILL GIVE BRAINLIEST!!!

Michelle weighs 90 pounds, which is 120% of what she weighed two years ago. How much did she weigh two years ago?

A) 108 pounds
B) 75 pounds
C) 175 pounds
D) 88 pounds

Answers

The answer is B)75pounds

PLEASE HELP DUE MONDAY
P is a function that gives the cost, in dollars, of mailing a letter from the United States to
Mexico in 2018 based on the weight of the letter in ounces, w.

1. How much does it cost to send a letter
that weighs 1.5 ounces? 2 ounces?


2. Sketch a graph of the function on the
coordinate plane
postage (dollars)

Answers

Answer:

1: 1.5 would be 1.72 and 2 would also be 1.72.

2: Draw points at (0,1.15) (1, 1.72) (2, 2.29) (3, 2.86) Flatline Connections

Step-by-step explanation:

If Im reading it right you take 1.5 ounces and plug it into the function (it would be between 1 and 2) it would spit out 1.72 (which I'm assuming is the postage)  

It will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

first, let us find a relation between postage(dollars) and weight(ounces)

this is an equation of a straight line passing through (0,1.5) and (2,0).

y=mx+c

[tex]P(w)=\frac{1.5-0}{0-2} x + c\\\\P(w)=-0.75x+c\\\\[/tex]

since it passes through (2,0) it will satisfy the equation

therefore, c =1.5

the equation will be: [tex]P(w)=-0.75w+1.5[/tex]

after we merge both the relations, we find a single relation between cost and weight

since the cost value is 1.72 in 1 <w [tex]\leq[/tex]2

if weight is 1.5 ounces it is clearly $1.72

if weight is 2 ounces it is clearly $1.72

therefore, it will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

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what is the least common denominator between 3/4 4/5 and 2/3

Answers

Answer:

The Least Common Denominator of 3/4, 4/5 and 2/3

Would be,

4 × 5 × 3 = 60

Hence,

60 is the L.C.D of 3/4, 4/5 and 2/3

The legs of a right triangle have lengths x and x + 2. If x = 6, what is the length of the hypotenuse?
A. 4
B. 6
C. 8
D. 10

Answers

I believe it is c so that would be 8, Ide double check though

Once sales tax is included, a $500 fancy watch ends up costing $525. What is the sales tax
percentage?

Answers

Answer:

5%

Step-by-step explanation:

since 25 is 5% of 500, the sales tax is 5%.

and

Simplify.
13²
pls fast

Answers

Answer:

169

Step-by-step explanation:

13^2 is equal to 169.

13x13=169    

What is the 10th term of the arithmetic sequence defined by the formula

Answers

Answer:

4

Step-by-step explanation:

First we should simplify the formula. The simplified formula would be 1/3n+2/3. We then substitute 10 for n. (10/3)+2/3= 12/3=4.

What is the approximate area of the shaded sector in the circle shown below?
A. 22.90 cm2
5.4 cm
B. 8.48 cm2
c
C. 11.45 cm2
180°
D. 16.96 cm2

Answers

Answer:

The correct answer is [tex]11.45 cm. ^2[/tex]

Step-by-step explanation:

I just got it correct.

The approximate area of the shaded sector in the circle shown is,

⇒ 11.45 cm²

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

A circle is shown in figure with diameter 5.4 cm.

Hence, Radius of circle = 5.4 / 2 = 2.7 cm

Since, Area of circle = πr²

Hence, We get;

Area of circle = πr²

Area of circle = 3.14 × 2.7²

Area of circle = 22.89 cm²

Thus, Area of shaded region of the circle is,

⇒ 22.89 cm²

⇒ 22.89/2 cm²

⇒ 11.45 cm²

Thus, The approximate area of the shaded sector in the circle shown is,

⇒ 11.45 cm²

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Please answer this ASAP !!
Thank you (picture attached).

Answers

It is going through you

Answer:

y=12.25x

i cannot see the question but the slope will be the increase of the certain product

the y is the dependent factor that will increase due to the slope/x-intercept

Step-by-step explanation:

Which table represents a linear function?

Answers

Answer:

the first one on the top left corner

it it bc on the right side of the table is counting by twos and so therefore on the left should be added 2 with that number

Answer:

Top left.

Step-by-step explanation:

Because it's constant. X increases by 2 and y increases by 3.

4 divided by 1/2 show your work

Answers

Answer:

8

Step-by-step explanation: frst 1/2=0.5

4/0.5=8

Answer:

4 divided by 1/2 is equal to 8

Step-by-step explanation:

basically do 4*2 and you will get your answer

or you should know that 1/2=0.5

so how many 0.5 are in 4, 2 0.5's are in 1 so you have to do 2*4

hope this helped, can i please get brainiest

A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 30; Q1 = 20 Median = 33; Q1 = 20 Median = 30; Q1 = 25 Median = 33; Q1 = 25

Answers

Answer:

the answer is the last one median= 33; Q1= 25

Convert radians to degrees
Show all the work
6. 3.8 radians
8. 5π/4(this is a fraction)

Answers

Answer:

Below in bold.

Step-by-step explanation:

Degrees = radians * 180/π.

6. 3.8 radians = 3.8 * 180 / π

    = 217.7 degrees to nearest hundredth.

8. 5π/4 radians = 5π/4 * 180/π

     =  5*180/4

     =  225 degrees.

7,945100 is equal to which number?


7,945


79.45


0.7945


7.945

Answers

Answer:

7.945 Million the answer. yah...

can somebody help me

Answers

Answer: √20 c. √50 d. ³√16 e. ³√8 f. 4√125 g. 2³√64 h. √⅓ i. √⅜ j. ³√9/8

Step-by-step explanation:

help me please??????

Answers

Answer:

c

Step-by-step explanation:

Assignment: Multiply and divide monomials

A clear explanation of how you got your solution would very much be appreciated!

Answers

Answer:

10m

Step-by-step explanation:

Your teacher probably told you the necessary fundamentals of monomials. So, I'll just teach you the things needed for this particular question.

10m^3/(10m)(m)

First, in the denominator, since that m are being multiplied and they are the same terms, their exponents add:

10m * m

10m^1 * m^1

1 + 1 = 2

10m^2

Then, since that m are now being divided, their exponents subtract:

10m^3 / 10m^2

3 - 2 = 1

10m^1

10m

Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18

Answers

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

Please Help ASAP!!!!!!!!

Answers

Answer:

2 i think

Step-by-step explanation:

the answer is 2 because the answer is 2

find the length of the arc shown in red ASAP

Answers

Answer:  16.75

Step-by-step explanation:

you might need to round up to 17 if 16.75 isn't an answer on your assignment

Plzzzzzzzz helpppppppppopoppoopoloool

Answers

Answer:

x have to be equal to 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratios of their corresponding sides are equal

Thus, we have it that;

AB/AC = DE/DF

9/3(x-1) = 6/x + 1

9(x + 1) = 6(3(x-1))

9x + 9 = 18x - 18

18x-9x = 9 + 18

9x = 27

x = 27/9

x = 3

Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will be in the IRA if Ed retires at the age 60.

Answers

Answer:

FV= $123,879.85

Step-by-step explanation:

Giving the following information:

Montlhy deposit (A)= $100

Monthly interest rate (i)= 0.09/12= 0.0075

Number of periods (n)= 12*26= 312 months

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0075^312) - 1]} / 0.0075

FV= $123,879.85

A TV that usually sells for $176.98 is on sale for 20% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?

Answers

Answer:

i dont know

Step-by-step explanation:

hi

Please help me with this fast

Answers

Answer:

X = 111 degrees

Step-by-step explanation:

Try it out

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