How do the angle measures and side lengths compare in similar figures ?

Answers

Answer 1

Answer:

Matching sides of two or more polygons are called corresponding sides, and matching angles are called corresponding angles. If two figures are similar, then the measures of the corresponding angles are equal and the ratios of the lengths of the corresponding sides are proportional.

Step-by-step explanation:

Answer 2

The angles are congruent in a similar figure and the ratio of the sides is in proportion.

What are similar figures?

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.

Given: Two figures are similar for example say two triangles are similar then Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

Hence, The angles are congruent in a similar figure and the ratio of the sides is in proportion.

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Related Questions

Yo can someone help me out

Answers

Answer:

Step-by-step explanation:

5 divided by 6 is the answer

Complete 5 divided by 6 which equals 1.2 and there’s your answer to your problem

Hope it helps

Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons. A small pentagon has a bottom side length of x centimeters and left side length of 3 centimeters. A larger pentagon has a bottom side length of 8 centimeters and left side length of 12 centimeters. Write a proportion. StartFraction 3 over 12 EndFraction = StartFraction x over 8 EndFraction Cross multiply. 8 x = 36 Solve for x. x = 4.5 Not drawn to scale What error did Paolo make in his solution?

Answers

Answer:

he didnt mutiply good and and the 3 and 12

Answer:

B

Step-by-step explanation:

3/8 = r + 2/3
what is R

Answers

-7/24, because you can just do this question in reverse to figure out an answer. (3/8 - 2/3)
The answer is -7/24 I believe

What steps would you take in order to solve the equation m + 61 = 39 ? add 61 and multiply by add 61 and multiply by 2 subtract 61 and multiply by subtract 61 and multiply by 2

Answers

First you want to isolate m. To do this, subtract 61 from both sides to get m=-22.

A used boat is on sale for $1,800. Austin makes an offer equal to 2/3 of this price. How much does Austin offer for the boat? $600

Answers

1,200 for the boat because 1800 divided by 3 is 600 and times that by two because its 2/3 and then u get your answer of 1,200$
$1200 because 1800 multiplied by 2/3 = 1200. (1800 x 2) / 3 = 1200

hey, guys id prefer it if someone could walk me through this step by step thx! Write an expression that is equivalent to the expression below. 3.5(2.4x+8.6y)-2.9(5x-6.5y)-(3.1x+7y)

Answers

Answer:

Step-by-step explanation: ok so first you need to circle all your variables x.

which are 2.4x+5x+3.1x adding those you get 10.5.

then circle your variables y which is 8.6y+6.5y+7y you get 22.1 then subtract those you get -11.6

hope this helps

PLZ BRAINLIEST PLZ

Answer:

Pls need points

Step-by-step explanation:X=25472.384

WELP WILL MARK BRAINLEST 4. Part A: Jerry claimed that the expression -8 + d is negative. Determine whether Jerry's claim is always true, sometimes true, or never true. Provide evidence to support your conclusion. (10 points)

Answers

sometimes true, depends on d. ex: -8 + -8 is negative, but -8 + 9 is positive

Answer:  His claim is SOMETIMES true.

Let's just take an example, d=2.

-8 + 2 equals -6, so negative. BUT, let's say d=9.

-8 + 9 equals 1, 1 is positive.

Jerry's claim is sometimes true.

The width of the fountain in Luke's drawing from the example is 2 cm. What is the width of the fountain in Isabella's scale drawing?

Answers

Answer:

2.5cm

Step-by-step explanation:

If Luke's scale for his drawing is 5m to 2cm, then it means that every 2cm on Luke's scale drawing represents 5m in real life. So since the width of the fountain is 2cm, the actual fountain width must be 5m. As established in the example, Isabella's scale factor from drawing to real life is 6/3=2, which means any measurement in cm on her drawing can simply be multiplied by 2 to obtain the real life measurement in m. So, to convert back the other way, from real-life to drawing, we just need to divide the value by 2 instead of multiply. So, if the real life value is 5m, then the width on her scale drawing should be 5/2 = 2.5cm.

Hope this helped!

Using proportions, it is found that:

The width of the fountain in Isabella's scale drawing is of 1.6 cm.

-----------------------------------

This question is solved by proportions, using a rule of three.

Isabella's scale is of 6m to 3cm, that is, 2m to 1cm.Luke' scale is of 5 m to 2 cm, that is, 2.5m to 1 cm.From this, it can be taken that a drawing of 250cm in Luke's scale is of 200 cm in Isabella's scale.What is the width of Isabella's drawing, considering that Luke's width is 2 cm?

200 cm - 250 cm

x cm - 2 cm

Applying cross multiplication:

[tex]250x = 400[/tex]

[tex]x = \frac{400}{250}[/tex]

[tex]x = 1.6[/tex]

The width of the fountain in Isabella's scale drawing is of 1.6 cm.

A similar problem is given at https://brainly.com/question/23536327

please help me.
[tex]2x \div 3 \times 9[/tex]

Answers

I think x=13.5 because 3x9=27 27/2=13.5 so that leaves x as 13.5
The answer is: 6x
Make 2x divided by 3 a fraction: 2/3x x 9
Cancel out 3 and 9 by 3: 2x x 3
Then do 2x times 3 which is: 6x

model each two-step operation by solving.
-2x-3=5

Answers

Answer:

x=-4

Step-by-step explanation:

You have to do all this math to isolate the variable, so, first,

You have to use the opposite sign of negative 3, which is positive 3, and add on both sides!

Then, you isolate the variable by dividing -2 on both sides, which is...

-4!

The answer is gonna be -4

(3 3/4)÷(−2 1/2) PLEASE HURRY

Answers

Answer:

-3/2

Step-by-step explanation:

(3 3/4)÷(−2 1/2) = -3/2

Answer:

Step-by-step explanation turn (3 3/4) to a mixed number and(-2 1/2) then you divided it

A square has a side length 9 cm.

What is its area?

Answers

Answer:30

Step-by-step explanation:

The square has 30 area

help me plz i dont get it

Answers

Answer:9b+10s

Step-by-step explanation:

Answer/Explanation:

The correct answer should be D.) 9b + 10x

Please mark Brainliest!!!  =D

enter the number as a scientific notation

80,000 = .... x 10 to what power

Answers

The answer to this problem is 8,000
Ten to the power of 4, scientific notation:8.0 or 8

help please..... 11 pointsssss

Answers

X= -213/10 , look at the steps in the picture

Multiply both sides by 2.4

5.7+x=-15.6

next subtract 5.7

x=-21.3

I'm pretty sure I did that right

Can anyone pls help. If in you don't know pls don't answer it there is some people doing it to me pls don't I just need help with this last problem.

Answers

Answer:

2500m2

Step-by-step explanation:

A square has four sides and the area is 10,000 m^2. Area is determined by multiplying two sides. In this case, you can divide by two to get 5000, then again by 2 to get 2500.  Each side/dimensions are 2500m^2

I think it will be 2500m2

A hot air balloon rose from ground level to 1000 feet in order to pass over a mountain. The balloon then descended
800 feet to a cruising height.

Which point is a representation of cruising height in feet?
Point A
Point B
Point C
Point D

Answers

200ft.

Step-by-step explanation:

It's 200ft because you just do 1000 - 800 = 200ft

Point C represent the cruising height.

What is number line?

when we represent the numbers on a line the numbers can be positive negative or any type are done on  number line zero is the center of the number line.

Given that air balloon height is 1000 feet from ground

and descended to 800 feet

present height of air balloon is 1000 - 800 = 200 feet

Hence according to no. line in figure 200 feet lie in point C

Learn more about Number line

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A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find: s for t=3.5

Answers

Part a:
for t = 3.5 hours
velocity = distance / time
distance = velocity x time
distance = 12 x 3.5 = 42 km

Part b:
for s = 30 km
velocity = distance / time
time = distance / velocity
time = 30 / 12 = 2.5 hours

Does a given translation, reflection, or rotation, followed by a given dilation, always map a figure to the same image as that same dilation followed by that same translation, reflection, or rotation ? Explain .

Answers

rotatian girl rotation

Answer: rotation

Step-by-step explanation:

Yo can someone help me out

Answers

Answer:

5+2

Step-by-step explanation:

give the other person braniliest

Answer:

i like ya cut g

Step-by-step explanation:

cut like

To change a negative exponent to a _______. _______ the power (the_____)

Answers

We use the negative exponent rule to change an expression with a negative exponent to an equivalent expression with a positive exponent. The rule states that any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power.
Chemical. Nuclear there u go and u will get it

Evaluate [tex]\sqrt{48} -4\sqrt{3}[/tex]

Answers

Answer: 0
Solution: Eliminate the opposites

The answer to the question is 0

Determine the constant of proportionality, k, and interpret it in the context of each problem. 3) The graph shows the relationship between the weight of an object on Earth and the weight of the same object on Venus. (Hope you can see the picture well)

Answers

I am pretty sure it would be k=50 (pounds) because it goes up 50 each point goes by 50 pounds between each one. (as seen in the edited graph I made)

Answer:

it would be k=50 (pounds) because it goes up 50 each point

A thunderstorm cloud holds about 6,200,000,000 raindrops. Which of the following shows this number in scientific notation? Answers- F- 0.62*10 to the 10th power G- 6.2*10 to the 9th power H- 6.2*10 to the 8th power J-62.0*10 to the 8th power

Answers

Answer:

the answer is G

which is 6.2*10 to the 9th power.

Step-by-step explanation:

In scientific notation you must leave one digit to the place value of ones

so that one digit is 6

So ue come up with 6.2 when ue eliminate all other zeros and end the decimal point between 6 and 2 and that way you have 6.2*10 to the 9th power

Answer:

G, 6.2*10 to the 9th power.

Step-by-step explanation:

At its lowest point, the temperature on Tuesday night had dropped 15.6°C from Tuesday’s high temperature of 8°C. What was the low temperature on Tuesday night?

Answers

Temperature dropped 15.6 degrees from the high that day which was 8 degrees

Problem: 8-15.6= -7.6

The low temperature on Tuesday night was - 7.6 degrees

Write an algebraic expression for each word phrase.

Answers

5n +7

.... Hope this will help....

Answer:

(5 * n) + 7

Step-by-step explanation:

Since we do not know the value of n, we can't write an equation for this. You could also write it as 5n + 6.7 if you'd like. Since letters and numbers don't mix, we can't add 6.7 to 5n. I rounded 6.7 to 7 in my answer. Hope this helped.

A coordinate grid is drawn over a postcard of Da Vinci's Mona Lisa. The postcard is a 1/4 dilation of the original painting. If the tip of Mona Lisa's nose on the postcard is at the point (−4, 2), what would be the coordinates of the tip of her nose in the preimage?

Answers

Answer:

Step-by-step explanation:

(-16,8) is your answer!

I NEED HELP NOW!!!!

Using the strategies that we have discussed in class, find
the area of the following parallelograms and then submit
your answers here.

Answers

Answer:

A - 15 square units

B - 12 square units

C- 24 square units

Step-by-step explanation:

A - The formula for the area of a parallelogram is the base*height.

3*5= 15 square units

B- Same deal as the first one 2*6 =12 square units

C- Exact same thing 4*6 = 24 square units

Answer:

I would help you but we dont know what you learned in class so i cant. If you tell me i can cause i learned that stuff last year

Step-by-step explanation:

Yo can someone help me out

Answers

Answer:

11

Step-by-step explanation:

PEMDAS

divide first, then add

Answer: 11

Step-by-step explanation: Divide & multiply first so 12/4 then add 8 which would = 11

THX 8th grade math anyone that can help PLZ do so. :)(:

Answers

Answer:

The answer is B

Step-by-step explanation:

Each of the x factors multiplied by 5 gives you the dollar amount at that point. You can easily make an equation for this table.

Answer:

Step-by-step explanation:

The answer is D

How i know is because i did it the other day

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