You are given two pairs of triangles. For the first pair of triangles, each side and angle of one triangle is congruent to the corresponding side and angle of the other. You show that rigid motions can transform one triangle so that it matches up with the other. For the second pair of triangles, you show that rigid motions can transform one triangle so that each angle or side of one triangle matches exactly with a corresponding angle or side of the other triangle. What have you proved?

Answers

Answer 1

Options:

a) If corresponding pairs of sides and corresponding pairs of angles of two triangles are congruent, then the triangles can be matched up exactly using rigid motions.

b) If two triangles can be matched up exactly using rigid motions, then the corresponding pairs of sides and corresponding pairs of angles of the triangles are congruent.

c) Two triangles can be matched up exactly using rigid motions if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

d) If corresponding pairs of sides and corresponding pairs of angles of two triangles are not congruent, then the triangles are not congruent.

Answer:

c) Two triangles can be matched up exactly using rigid motions if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Step-by-step explanation:

For both pairs of triangles, what you proved is how to use rigid motions (i.e. rigid transformations) to make congruent shapes.

When rigid transformation is applied to a shape, the image (i.e. result) of the  transformation produces an exact shape (i.e. equal corresponding angles and corresponding sides), meaning that the side lengths and the angles of the preimage (before transformation) and the image (after transformation) is unaltered.

Option (c) is true


Related Questions

1. GASOLINE The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate 2.x + 3.5 Gas for less V12​

Answers

Answer:

GASOLINE The table gives the cost of a

gallon of gasoline at two stations.

How much more does gasoline cost at

Gas For Less than at Cut-Rate?

Step-by-step explanation:

What is the measure of the angle supplementary to a 47.5 degree angle?

137.5

52.5

42.5

152.5

Answers

Answer:

132.5 degrees. Check to see if there is missing information in the question or any mistakes.

Step-by-step explanation:

Supplementary angles = 180 degrees

180 - 47.5 = 132.5

137.5 you can just ask the internet for help

15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP

Answers

Answer:

to find the equation of the line you use y=mx+b

Step-by-step explanation:

m means the slope and the b is the y intercept of the line. so in this case the b is 5. the m is 6 so the answer is y=6x+5

HURRY!!! ANSWER QUICK!!!

Choose all the equations that have x = 5 as a possible solution.
A. 20 - x = 5
B. x + 2 = 7
C. 3x = 15
D. 5x = 15
E. x- 5 = 0

Answers

Answer:

b,c,e

Step-by-step explanation:

B. - 5+2=7
C. 3x5=15
E. 5-5=0

please help me find the area​

Answers

Answer: 150m

Step-by-step explanation: you first remove 5 from 20 to get what you should multiply for your triangle then you get 15 and multiply it by 12 to get 180 then you divide by 2 since it’s a triangle, to get 90 then you find the area of the rectangle by multipling 5 by 12 to get 60 then 60+90=150

Answer:

150 meters

Step-by-step explain

    He formula for a triangle is a=bh/2.  it ends up being a=12x15/2=90.

    The formula for a rectangle is 12x5=60.

    You take both and add them together and you get 150.

    So the answer is 150 meters.

Which set of numbers is infinite?
A) integers between -4 and 7

B) whole numbers between 1 and 17

C) natural numbers between 5 and 10

D) irrational numbers between 10 and 30

Answers

Answer:

D). irrational numbers between 10 and 30

1. A package of sticky notes is in the shape of
a parallelogram. The dimensions of one
sticky note are shown. What is the area of
one sticky note?
A. 248.4 cm?
B. 124.2 cm2
C. 62.1 cm2
D. 22.7 cm2

Answers

Answer:

B. 124.2

Step-by-step explanation:

Area= b*h

Area= 13.5*9.2

Area = 124.2

Please Note* = Multiply

.222222222 as a fraction Please help

Answers

Answer:

222222222/1000000000

Step-by-step explanation:

The money spent on gym classes is proportional to the number of gym classes taken. Max spent $45.90 to take 6 gym classes.
What is the amount of money, in dollars, spent per gym class?

Answers

Answer:

$7.65

Step-by-step explanation:

its the right answer, TRUST ME!!!!

¿Porque crees que es importante tener conocimientos sobre el cálculo de área de polígonos y circunferencias?

Answers

Step-by-step explanation:

En la vida diaria estamos rodeados de figuras geométricas como los polígonos y las circunferencias;alguno ejemplos son los siguientes:  las ventanas,las puertas,el reloj de pared,un balón,los vasos de cocina,las llantas de una bicicleta,un automóvil,etc.

Si necesitamos pintar la sala de nuestra casa,debemos saber exactamente la cantidad de pintura que vamos a necesitar ,para eso debemos calcular el área exacta  del  tramo de pared.

Si necesitamos acabar con la maleza de nuestra jardin ,debemos saber exactamente cual es el área de nuestro jardín ,para aplicar el volumen o la proporción exacta del plaguicida.

Conocer el área de un terreno o lote nos da una idea de lo grande que es y del valor que tiene, por eso es importante saber cómo obtener el área.

Simplify the following expressions to have fewer terms 5x-3+4(4x-6)+2

Answers

Answer:

(21x-25)

Step-by-step explanation:

We need to find an equivalent expression for the following.

5x-3+4(4x-6)+2

We can solve it as follows:

5x-3+4(4x-6)+2 = 5x-3+16x-24+2

= 5x+16x-3-24+2

= 21x-25

So, the equivalent expression is equal to (21x-25).

Max gets a weekly allowance of $17. He spends $3 each week on snacks. He splits the rest of his allowance into equal amounts for his college fund and spending money. How much money does Max keep for spending money each week? $

Answers

Answer:

$7

Step-by-step explanation:

The amount max keeps for spending = 1/2(total allowance - amount he spends on snacks)

total allowance = $17

amount he spends on snacks = $3

Amount he would have for  his college fund and spending money. = $17 - $3 = $14

Since he splits the amount equally between his college fund and spending money, the amount he would have for spending can be determined by dividing 14 by 2

$14/2 = $7


Please help. No files allowed or you will be reported

Answers

I’m confused because I’m a child and I was asking a question so mind ur business

How do you find the product of 3x^2y^5 and 4x^3y^7

Answers

Answer:

S

=

{

(

2

,

5

)

}

Step-by-step explanation:

Theoretically, if a month is chosen 300 times,

how many times would you expect a month

that starts with the letter J?

Answers

Answer:

75 times.

Step-by-step explanation:

Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because [tex]\frac{3}{12}=\frac{1}{4}[/tex], which is 25%. 25% of 300 (or [tex]\frac{300}{4}[/tex], for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.

Hope this helps!

P.S: Please mark me as brainliest!

Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)

Answers

CORRECT ANSWER: D
Explanation: I just did the work, but the y’s on the first two match up and they match in the second two. It’s D

Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5 inches. Which rectangle represents the original photograph? Rectangle A B C D Width 1.5 3.5 6 15 Length 2.5 5.5 10 25 A B C D

Answers

Answer:

C i think

Step-by-step explanation:

Translate into an equation: Twenty-six more than the product of a number and
17 is -42.

Answers

C) 17n + 26 = -42

“the product of a number and 17” = 17n

“twenty six more than” = + 26

And if the next question has you solve it:
17n + 26 = -42
Subtract 26 from both sides
17n = -68
Divide both sides by 17
n = -4

Write an equivalent expression for 5+2+2x+2
please help me ​

Answers

Answer:

2x+9

Step-by-step explanation:

You have to combine like terms. 2x stays the same because there are no other like terms, but 5, 2, and 2 can be added together to make 9

What is the simplified form of the expression below?
3+ 4i
4 - 2i

Answers

Answer:

7 + 2i is the simplified form

Step-by-step explanation:

PLEASE HELP!!!!!

Taylor's computer randomly generate numbers
between 0 and 4, as represented by the given uniform
density curve.
What percentage of numbers randomly generated by
Taylor's computer are between 1.5 and 3.25?
O 0%
1.75%
Random Number Generated
by Computer
25%
O 43.75%
1
2
3
Random Number

Answers

Answer: D

Step-by-step explanation:

just got it correct.

Two thirds of the money in my pocket is 50 cents. a, what is one third of the money in my pocket​

Answers

Answer:

25 cents

Step-by-step explanation:

1.) Set up an equation you can solve from the wording of the question:

(2/3)*m = 50, where "m" represents the money in your pocket.

2.) Solve for that equation:

m = 50*(3/2) = 150/2 = 75, so now you know the money you have in your pocket is 75 cents

3.) Multiply the money you have in your pocket by 1/3 to find 1/3 of the money you have in your pocket:

75*(1/3) = 25

i really need help. I don't understand​

Answers

The rate of change is 1/4 and the y intercept is -4

What is the value of "w" ?

Answers

Answer:

w = [tex]\sqrt{147}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

w² + 7² = 14²

w² + 49 = 196 ( subtract 49 from both sides )

w² = 147 ( take the square root of both sides )

w = [tex]\sqrt{147}[/tex]

Solve the following quadratic equation for all values of xx in simplest form. 3(x+1)²-15=-12​

Answers

Answer:

x = 0, -2

Step-by-step explanation:

Since the arithmetic mean of the above data is 20, what is the span?
A) 45. B) 40. C) 35. D) 30​

Answers

Answer:

Step-by-step explanation:

anybody can help me with this

Answers

The answer is 21.08241 because for an approximate result, multiply the length value by 1609

Answer:

the answer is a/ 21 kilometers

x^2-8x+15
expresión racional ​

Answers

Answer:

x = 3, 5

Step-by-step explanation:

(x - 3)(x - 5) = 0

a single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.

Answers

Answer

The probability of rolling a number of 2 is 1/6 (16.667%)

The probability of rolling a number of 3 is 2/6 (33.33%)

The probability of rolling a number 4 is 3/6 (50%)

The probability of rolling a number 5 is 4/6 (66.667%)

Explanation:
I’m not sure what you were trying to look for. So I put the probability for numbers 2,3,4, and 5. Your welcome, have a great day/night!.

Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?

Answers

Answer:

each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*

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