How is congruence related to rigid motion transformations?

Answers

Answer 1

An object is moved rigidly when it is transferred from one location to another without affecting its size or shape.

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.

When an object is transferred from one place to another without changing in size or shape, it is said to be moved rigidly. Two shapes can only match if a precise movement results in a correspondence between them.

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Related Questions

Please show work

I'll give brainliest ​

Answers

Answer:

7

Step-by-step explanation:

a right angle is 90 degrees so

90=76+2x        subtract 76 from both sides

-76 -76

________

14=2x                divide 2 from both sides

_   ___

2     2

7=x

Check:

76+(2*7)=90 correct

                                               

Answer:

x=7

Step-by-step explanation:

76°+2n=90°

2x=90-76

[tex] \frac{2x}{2} = \frac{14}{2} [/tex]

[tex]x = 7[/tex]

hope it helps...

Greg is four feet tall. how many inches tall is Greg?​

Answers

Answer:

48 inches

Step-by-step explanation:

Answer:

it is the wrong answer

Step-by-step explanation: he is 5 feet and 10 inches

Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –16t2 + 20t.



After how many seconds does the ball return to the ground? Round to the hundredths place as needed.

Answers

3 sishsusbsusbsusnsjsnsn

Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her party. Casa Lucia charges a $200 one-time rental fee plus $500 per hour. The Silver Fox charges $200 per hour plus a $1,100 one-time rental fee. Explain what the solution to the system of equations represents in this real-world context.

Answers

Answer:

number of hours = 3 hours

Step-by-step explanation:

Let

x = number of hours

Casa Lucia = 200 + 500x

Silver Fox = 1,100 + 200x

To solve the equation, equate both cost of rent

Casa Lucia = Silver Fox

200 + 500x = 1,100 + 200x

200 - 1,100 = 200x - 500x

-900 = - 300x

x = -900 / -300

x = 3 hours

number of hours = 3 hours

The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.

It means both locations cost the same if rented for 3 hours each

Solve the system of linear equations by substitution.

Answers

[tex] \large{\red{\underline{\bf{Required \: Solution \: : }}}} [/tex]

Here we have been provided with two equations and we have to solve them by substitution method and get the value of x and y.

y = x - 4 (Equation No 1)y = 4x - 10 (Equation No 2)

Here we have been already provided a temporary value of y in first equation so let us substitute in the second equation.

[tex]: \implies \: \sf{y \: = \: 4x \: - \: 10}[/tex]

[tex]: \implies \: \sf{x \: - \: 4 \: = \: 4x \: - \: 10}[/tex]

[tex]: \implies \: \sf{x \: = \: 4x \: - \: 10 \: + \: 4}[/tex]

[tex]: \implies \: \sf{x \: = \: 4x \: - 6}[/tex]

[tex]: \implies \: \sf{x \: - 4x \: = \: - 6}[/tex]

[tex]: \implies \: \sf{ - 3x \: = \: - 6}[/tex]

[tex]: \implies \: \sf{ \cancel - \: 3x \: = \: \cancel- \: 6}[/tex]

[tex]: \implies \: \sf{ 3x \: = \: 6}[/tex]

[tex]: \implies \: \sf{ x \: = \: \dfrac{6}{3} }[/tex]

[tex]: \implies \: \sf{ x \: = \: \cancel\dfrac{6}{3} }[/tex]

[tex]: \implies \: \boxed{\bf{ x \: = \:2 }} \pink\bigstar[/tex]

Therefore, value of x is 2..!!

Finding out value of y :

Here we would substitute the value of x which we got as 2 in the first equation inorder to get the value of y.

[tex]: \implies \: \sf{ y \: = \: x \: - \: 4 }[/tex]

[tex]: \implies \: \sf{ y \: = \: 2 \: - \: 4 }[/tex]

[tex]: \implies \: \boxed{\bf{ y \: = \:-2 }} \pink\bigstar[/tex]

Therefore, value of y is -2.

in a right triangle, if sin(theta)= 8/17, what is tan (theta)?

Answers

sin θ = perpendicular/ hypotenuse

tan θ = perpendicular/base

By applying Pythagoras theorem, you get the base as 15

So, your answer is 8/15

solve for the variable, please show work.

correct answer = brainliest !!!!


3√(c) + 1 = 1

Answers

The answer is c = 0

Explanation, see the picture

Plz help ASAP I will mark u branliest

Answers

Answer:

5.k=3

7.p=4

Step-by-step explanation:

5.7=2k+1

7=2k+1 subtract 1 on both sides

6=2k divide by 2 on both sides

k=3

7. 11=4p-5

11=4p-5 add 5 to both sides

16=4p divide by 4 on both sides

p=4

Answer:

5: k=3  

7: p=4

Step-by-step explanation:

5: sub 1 from each side divde by 2

7: add 5 to both sides  divide each side into 4

2. Find the area of the trapezoid.

A. 44^3 ft
B. 52^3 ft
C. 44^3 - 24ft
D. 60^3 ft

Answers

Answer:

i think the answer is b i hope it helps

Step-by-step explanation:

Match the systems of equations to their solutions.

Answers

Answer:Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!

:)

i forgot how to do this plz help

Answers

Answer:

C. 48°

Step-by-step explanation:

The correct answer would be C. 48 degrees

2. Lin and her friends went out for ice cream after school. The following questions came up during their trip. Select all the questions that are statistical questions.

What is the most popular ice cream flavor this week?

Do kids usually prefer a cup or a cone?

What does a group of 4 people typically spend on ice cream at this shop?

How many toppings are there to choose from?

How far are we from the ice cream shop?

Answers

Answer:1: The top pick among US adults is a classic: chocolate ice cream. Close to one in five (17%) Americans say this is their favorite flavor. Vanilla (15%) is also a popular choice, coming in ahead of strawberry (8%), mint chocolate chip (8%), butter pecan (8%), chocolate chip cookie dough (6%), and cookies n crème (6%).

2:More than 37 percent of respondents prefer to eat their ice cream in a cup or bowl, followed by 26 percent preferring a cone, 12 percent opting to eat ice cream out of the carton, 11 percent enjoying a sundae, 10 percent choosing a milkshake and 6 percent preferring an ice cream cookie sandwich.

heres 1 and 2

Step-by-step explanation:

Selected statistical questions:

What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

The following traits can be used to recognize a statistical query:

It entails gathering or studying data.It cannot be replied to with a straightforward yes or no.It queries dispersion or variability within a population or group of data.It aims to derive broad inferences from data.It provides for a variety of potential solutions or results.

Selected statistical questions:

What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?

Learn more about sample space here:

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There are 6 gallons in a tank that is 20% full. How many gallons are in a full tank? Use a double number line to show your work.

Answers

Answer: 30 gallons

Step-by-step explanation:

Let the number of gallons that are in a full tank be represented by x.

Since there are 6 gallons in a tank that is 20% full, this will be set up in an equation as:

20% × x = 6

20/100 × x = 6

0.2 × x = 6

0.2x = 6

x = 6/0.2

x = 30

There are 30 gallons in a full tank

Neptune has a diameter of about 3 x 10^4 miles. Earth has a diameter
of about 8 x 10^3 miles.
Earth's diameter is about__
the size of Neptune's diameter.
2.67 times
37.5 times
0.267 times
26.7 times

Answers

Answer:

0.267 times

Step-by-step explanation:

(8×10³) ÷ (3×10⁴) = 0.2666666667

HELPPPPP WILL MARK BRAINLIEST THIS IS DUE AT 1:50!!!!

Answers

113 and 1/3. You multiply 4 1/4 by 1 2/3 to get 7 and 1/12 then multiply that by 16 because there is 16 spaces which gets you 113 1/3

NEED HELP ASAP PLS

polygon ABCD, shown in the figure is dilated by a scale factor of 8 with the origin as the center of dilation , resulting in the image of ABCD .
The slope of CD is ____?

Answers

Answer:

2/1 or 2overrun

Step-by-step explanation:

You can see that the rais/run for C to D is 2/1. So that would be the slope.

Can someone pls help I will give you the crown

Answers

Answer:

i think b

Step-by-step explanation:

There are 9 cars in the parking lot. 2 cars are parked on the left and the other cars are
parked on the right. What fraction of the cars are parked on the right?

Answers

7/9

Explanation:
There are 7 cars out of the total of 9 on the right

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

true

Step-by-step explanation:

a rhombus always has opposing parallel sides, qualifying it as a parallelogram

Answer:

true

Step-by-step explanation:

all rhombuses have opposite sides equal and parallel and opposite angles are congruent

Please help me no links im timed 1 question HELP ME!!!

Answers

Answer:

c. add 5 to each side

Step-by-step explanation:

Answer:

c. add 5 to each side

Step-by-step explanation:

that's the fastest way to get y=20

1. Solve for the area of the figure below.
Solve for the area of the figure below Round answers to the nearest hundredth if needed

Answers

Answer:

39

Step-by-step explanation:

ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

Okay, hello to you too.

Answer:

Whats in the docx. I don't want to open it.

Step-by-step explanation:

step by step please :(
Convert the equation to Standard Form.

y=2(x+1)^(2)-4

Answers

Answer:

y = 2x^2 + 4x - 2  

Step-by-step explanation:

y=2(x+1)^(2)-4 is in vertex form.  We want the same equation in standard form, which looks like y = ax^2 + bx + c.

Perform the indicated multiplication (squaring of x + 1):

y = 2(x^2 + 2x + 1) - 4, or

y = 2x^2 + 4x + 2 - 4, or

y = 2x^2 + 4x - 2                   This is in the standard form of a quadatic.

What is the name of the polynomial x2=25

Answers

Answer:

x = 5  or  x = −5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2 = 25

Step 1: Take square root.

x = ± √25

x = 5  or  x = −5

DUE IN A BIT PLEASE HELP WILL MARK BRAINLIEST JUST PLEASE HELP!! :((

Answers

Answer: D

Step-by-step explanation:

Guys please could you answer this question I'm unable to solve this assignment

Answers

The answer is the graph will be 3 units to the left

Question 5: Find the area of the following rectangle. Hint: multiply the binomials (x-3)(x+6). *

Answers

Answer:

B

Step-by-step explanation:

(x-3)(x+6)

x²+6x-3x-18

x²+3x-18

Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft2 and she painted 288 ft2 yellow, what percent of the room did she paint green?

Answers

Answer:

Total percent of the room did she paint green = 60%

Step-by-step explanation:

Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.

To find - What percent of the room did she paint green ?

Proof -

Given that,

The surface area of the walls in her room = 720 ft²

Total area painted in yellow color = 288 ft²

So,

Total area painted in green color would be = 720 - 288 = 432 ft²

Now,

Let the total percent green color painted = x

So,

720 × x% = 432

⇒[tex]720*\frac{x}{100} = 432[/tex]

⇒ x = [tex]\frac{432*100}{720}[/tex] = 60

∴ we get

Total percent of the room did she paint green = 60%

Will give brainliest!

Answers

Answer:

Step-by-step explanation:

multiply 0.83 by 0.06 = 0.0498

multiply 0.17 by 0.52 and add that to the first one

which gives you the prob of winning of 0.1382

Help me please thanks​

Answers

54.7 cm because a squared + b squared = c squared
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