What is the least amount of information that you need to construct a triangle congruent

Answers

Answer 1

Answer:

6 points of data, minimally.

Easiest if they are 3 points.

All data is going to be comprised of more than one unit of data itself.

For 3 points, we need 6 coordinates.

For 3 lines, we need 2 points each, and then 2 coordinates for each point.

Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.

Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.

So in a 2D space, the information required to make a figure is twice the number of vertices.

Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.

“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”

Edit… A closed figure made only of straight line segments.

I'm sorry if it has any wrong ‍♀️

Answer 2

Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:

the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.

Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].

The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.

Some of the steps required in construction of a congruent triangle to a given one are:

1. Draw a line with a straight edge and mark a starting point.

2. copy one of the angles of the given triangle to the marked point on the line drawn.

3. Copy the length of sides of the triangle appropriately.

5. Copy the measures of other angles and length of sides to complete the congruent triangle.

Therefore, some of the least amount of information to be known for the construction are:

the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.

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Related Questions

x^2-5x=14

I am supposed to get 14, but I don’t know how to get there. Also, how would check it on a calculator?

Answers

Answer:

x=-2

Step-by-step explanation:

just plug in random numbers until you get your answer, it works for me

As an estimation we are told £3 is €4. Convert €40 to pounds

Answers

Answer:

£30

Step-by-step explanation:

The ratio is 3:4. x:40=3:4 multiplied by 10, 30:40.

There are 30 pounds in 40 euros, therefore, €40 = £30.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, £3 is €4, therefore,

€4 = £3

€1 = £(3/4)

€40 = £(3/4)×40

€40 = £30

Hence, 40 euros is equal to 30 pounds, €40 = £30.

To learn more about ratios, click here:

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#SPJ2

graph the following equation using the slope intercept method
3x+5y=-15​

Answers

Answer:

Step-by-step explanation:

The equation y = 5x represents the amount of miles Fran runs in x days.
When a graph of this situation is drawn, what does the point (1, 5) on the graph represent?
A. The number of miles Fran runs each day.
B. The number of miles Fran runs on the first day.
C. The total number of miles Fran runs in five days.
D. The total number of miles Fran runs on the fifth day.

Answers

Answer:

b

Step-by-step explanation:

match the expression to it simplified form

Answers

Answer:

I'd love to help but it seems you have not added an attachment or maybe the rest of the question..

Step-by-step explanation:

What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.

Answers

Answer:

50.265m^3

Step-by-step explanation:

because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d

Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?

Answers

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

HELP ME!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

In order words, g(x) could be f(x) – 1.

The correct option is A

AD = DB and AE = EC
m AED = 32
EF = 6
m ECF = ?

Answers

First of all pay attention to triangle DEF. m DEF=90 m AED=32 so m FEC= 180-(90+32)=58. Then if m FEC is 58 the m ECF=90-58=32

Which function has only one x-intercept at (-6, 0)?
O fx) =x(x -6)
O fx) = (x-6)(x -6)
O f() = (x+ 6)(x - 6)
O f)= (x+ 6)(x + 6)
Please help

Answers

Answer: O f)= (x+ 6)(x + 6)

Hope this helps :)

The correct answer is D

Pwease help its just easy math

Answers

Answer:

its divided into sixths

solve for x
|2x-4|+6=8​

Answers

Solve for x

|2x -4| + 6 =8

subtract 6 from both sides, then solve

|2x - 4| = 2                                   and                                 |2x -4| = -2

2x - 4 = 2                                                                           2x - 4 = -2

     +4   +4                                                                                +4  +4

2x = 6                                                                                   2x = 2

divide by 2 to isolate the variable

x = 3                                                                                    x = 1

my question is y = 4x + 1 and my options are
a. 4, 3
b. 4,1
c. 1,4
d. 3,1​

Answers

Answer:

B. 4,1

Step-by-step explanation:

The answer to your question is B. It is 4,1. I hope this helps

Find the slope of the line.

Answers

the slope of the line is 4/5

Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.

Answers

Answer:

(X, y) =(3,-3)

Step-by-step explanation:

Use second equation

Apply to the first

A scientist observed a bacterium in a microscope. It measured about 0.0000029 meter in diameter. Which of the following is closest to 0.0000029?

A.
2×10−6
B.
2×10−5
C.
3×10−5
D.
3×10−6

Answers

Answer: A. [tex]2\times10^{-6}[/tex].

Step-by-step explanation:

Given: The diameter of bacterium = 0.0000029 meter

≈  0.000002 meter  [ with 6 decimal places]

[tex]=\dfrac{2}{1000000}=\dfrac{2}{10^6}[/tex]

[tex]=2\times10^{-6}[/tex] meters    [[tex]\dfrac{1}{a^n}=a^{-n}[/tex]]

i.e. [tex]2\times10^{-6}[/tex] closest to 0.0000029.

Hence, the correct option is A. [tex]2\times10^{-6}[/tex].

Choose the best answer for the missing number.

Answers

Answer:

1/100

Step-by-step explanation:

This is just digits...

57.237 = 50+7+0.2+3*___+0.007

well if you take a closer look

57.237 = 57.207 + 3*___

0.03 = 3*___

So you must have 0.01 for that spot, or if we follow the format of the question, you rewrite it as 1/100

Answer:

0.01 or 1/100

i need some help I really don't know how to start ​

Answers

Answer:

14

Step-by-step explanation:

these are similar triangles.

4*y = 7 (one side times cooficient is the side in the other triangle), cooficient (y) = 7/4

8 * 7/4 = solution

= 14

Please answer ASAP!!!

Answers

first you need to convert them all into percentages...

dolphin - 43.3%
lion - 56.3%
rabbit - 47.5%
squirrel - 62 %
tiger - 65.8%

1. dolphin, rabbit, lion, squirrel, tiger
2. average person sleeps 8 hours a day which equals 33.3% ( 8/24 )
3. you, dolphin, rabbit, lion, squirrel, tiger

You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.

Answers

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. How many people could be transported to the lake house if the students rented 5 small cars and 8 large cars? How many people could be transported to the lake house if the students rented ss small cars and ll large cars?

Answers

68 people can be transported to the lake house.

If DF=61 and EF=18, find DE. ​

Answers

Your answer would be 43 you can just subtract it

Can someone help me with this problem?

Answers

Answer: 5:6

Explanation:

The 2 polygons are similar

So 25/30 = 25.5/30.6 = 5/6 or 5:6

(i will give brainliest for the first answer)
Triangle XYZ has vertices X(-3, -2), Y(-1, 0),
and Z(1, -6). Find the vertices of triangle
X’′Y’′Z′’ after a reflection over the x-axis.

Answers

Answer:  X"  ( -3,2)    Y" (-1,0)   Z" (1,6)

Step-by-step explanation:

What slope passes through the points (-1,5) and (3,-7) ?

Answers

Answer: -3


Solution: -7-5 / 3-(-1)
-12 / 4
m= -3



PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6

Answers

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Can anyone help me ill give brainliest

Answers

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?

Answers

Answer:

The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.

This would cost 85% * 78.65.

However, they also have to pay a 20% tip of the meal cost.

This would cost 20% * 78.65.

Step-by-step explanation:

total Cost = (85% * 78.65) + (20% * 78.65)

= 105% * 78.65

= 1.05 * 78.65

= $82.58

Can someone pls help me w this paper. PLEASEEEEE

Answers

Answer:

22 for num 5

Step-by-step explanation:

Rita ran for class president. She received 90 votes in the election. These votes represent 60% of the total number of students in her class. How many students are in her class?

Answers

Answer:

54 students

Step-by-step explanation:

90× 60% = 54

Judging by the way the question is weirdly wrote, im pretty sure all you’re doing is 60% of 90, which is 54 students in here class.
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