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

Determine the domain of the following graph:
12
11
10
8
6
5
2
-12-11-10 -2 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-4
-9
-10
-11
-12

Answers

Answer: am not sure i know that one.

Step-by-step explanation:

13. Which graph best represents -5y = -6x + 15?
А
Help ASAP !!!

Answers

The answer is C i think bc the y-int is -3

Simplify each expression
8a-4a

Answers

Answer: 4a

Step-by-step explanation:

Answer:

4a

Step-by-step explanation:

8 of something minus 4 of something gives you 4 of that thing

What is the area of this square?

4 km

____ square kilometers

Answers

Answer:

4 kilometers.

Step-by-step explanation:

could someone help me with this

Answers

The answer is:

5.7•10^-3

Dean wants to buy a scooter. He has a coupon for 20% off his purchase, and has already saved $50. If the scooter is $79, how much more money does Dean need to be able to purchase it?

Answers

he needs $13.2 bc 79*.2 is 15.8 and 79-15.8 is 63.2 and he has 50 dollars so he needs 13.2

If Lin runs 21 laps at the same rate, how long does it take her?
minutes

Answers

25 minutes. Or 25.5. Hope it helps.

NO LINKS!!!

A mechanic charges $45 to inspect your heater, plus $80 per hour to work on it. You owe the mechanic a total of $385. Write and solve an equation to find the amount of time (h) (in hours) the mechanic works on your heater.

What is the equation and and the answer?

Answers

Answer:

385=80x+45

x=4.25 hours

all I know is that it took him 4 hours and 32 minutes to work on it. 385-45=340/80=4.32

PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!

Answers

Answer:

C

Step-by-step explanation:

estado tratando esto por mucho tiempo​

Answers

Answer:

1/2

Step-by-step explanation:

Paso Uno: [tex]\frac{5}{1}* \frac{5}{1} *\frac{5}{1}* \frac{5}{1} *\frac{5}{1}[/tex]* 1/10= 5/10

Paso Dos: Simplificar:

5/5=1

10/5=2

Paso Tres: fracción es 1/2

Ice rental: $150 Skate rental: $3
Write a problem that can be solved using an equation then solve the problem

Answers

Answer:

Ice rental at the local skating rink is $150 for 2h. Skate rental is $3 per person. The Grade 8 class went skating. All students rented skates. The total cost was $231. How many students went skating?

b. A child appears to be running into the street ahead. It takes 2.3 seconds for the driver to react and begin to brake, but this time at a rate of -7.5 m/s2. What is the stopping distance for the car in this situation?

Answers

Answer:

I got about 28.01 ft you might want to round or something

hope this helped

The required stopping distance of the car is 17.24 metes.

A child appears to be running into the street ahead. It takes 2.3 seconds for the driver to react and begin to brake, but this time at a rate of -7.5 m/s2. What is the stopping distance for the car in this situation is to be determined.

What is speed?

Speed is ratio of distance to the time. speed = distance / time.

The intial speed of the driver is 11m/s

Now total stopping distance = thinking distance + break applying distance
                                           =  v*t  + u²/2a
                                           =  11 * 2.3 - 11²/2*7.5
                                           = 17.24 meters,

Thus, the required stopping distance of the car is 17.24 metes.


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please help 6th grade math i will give brainliest

Answers

Answer:

8

Step-by-step explanation:

First add all the terms together.

[tex]8+7+5+9+6+13=48[/tex], so the total is 48.

Then you divide the total by the number of terms (which is 6) to get the mean.

[tex]\frac{48}{6}=8[/tex], so the mean is 8.

Mean is just adding all the value divide total no of items

Question 5
Find MZA
(5x - 1)
(4x + 17)°
B
A
(3y - 20°
(2y + 1°
Need help with this question?

Answers

Answer:

m∠A is 89°

Step-by-step explanation:

By circle theorem, two or more inscribed angles subtended by the same arc are equal

Therefore, from the diagram, we have;

Angle (5·x - 1)° and angle (4·x + 17)° subtends the same arc DC

∴ (5·x - 1)° = (4·x + 17)°

We can write the angles as follows since they are both in degrees

(5·x)° - 1° = (4·x)° + 17°

(5·x - 4·x)° = 17° + 1°

x = 18°

m∠A = (5·x - 1)°

∴ m∠A = (5 × 18 - 1)° = (90 - 1)° = 89°

m∠A = 89°.

Put the following numbers in order from least to greatest: √42, 7, 6, √38.

Answers

Answer:

6, √38, √42, 7

Step-by-step explanation:

The numbers in order from least to greatest is 6,√38,√42,7

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in sum of fractions would give the sum of algebraic fractions.

Given;

√42, 7, 6, √38

√42=6.4

√38=6.1

Therefore, the order of algebra will be 6,√38,√42,7

More about the Algebra link is given below.

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If a dog can eat 16 treats in 2 hours, how many can it eat in 6 hours?

Answers

Answer:

48 treats

Step-by-step explanation:

16 treats / 2 hours = 8 treats / hour

8 treats / hour x 6 hours =

48 treats

Hope that helps! :)

Well if he eats 16 treats in two hours... 16 divided by 2 is 8. So he eats 8 treats every hour. 8 x 6 = 48

ANSWER: 48 treats in 6 hours

PLZ HELP Siri is grocery shopping. She is buying macaroni. One box is 6 inches long, 1 inch wide, and 9 inches tall. The second box is 3 inches long, 3 inches wide and 6 inches tall. Which box holds more macaroni?

Answers

Answer:  

The second box  

Step-by-step explanation:

The volume of a pyramid can be given by the formula:  V=31​Ah. Where.  A:  Area of the V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Therefore, If it is wider it has more space to carry more items such as macaroni.

EASY POINTS!! INCLUDE A DISC!!
pls no bots i don't want any links :(

Answers

Step-by-step explanation:

[tex]180 - 35 - 65 = \\ = 145 - 65 = \\ = 80[/tex]

Answer:

i BELIVE it will be 50 I’m super sorry if I’m wrong lovly.

Step-by-step explanation:

PLEASE HELP I’m bad at math

A.Find the greatest common factor GCF of 42 and 12
B.Use the GCF to factor 42 + 12

Please be quick if you can

Answers

Answer:

6

Step-by-step explanation:

The GCF of 42 and 12 is 6

find the slope of the passing line through the points -3/8 and 4/8 ​

Answers

Answer:

Subtract the y's: 7 - 2 = 5

Subtract the x's in the same order: 6 - 4 = 2

slope = (difference in y)/(difference in x) = 5/2

Answer: 5/2

ONLY ANSWER IF U KNOW!
Find the limit of the function algebraically.

Answers

Answer:

lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○

Find the value of x for which / || m

Answers

Answer:

Step-by-step explanation:

can anyone help with this pls

Answers

Answer:

9

Step-by-step explanation:

Answer:

9 square meter

Step-by-step explanation:

1/2xbasexheight

=1/2x6x3

=9

plz mark me as brainliest.

verify x+(y+z) =(x+y) +z, when x=-4/15, y=-4/5and z =17/8​

Answers

Answer:

The equality is true

Step-by-step explanation:

x+(y+z)=(x+y)+z

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true

The equations y = 5x and y = –1∕5x + 4 represent what types of lines?

Answers

Answer:

It might be perpendicular lines

Step-by-step explanation:

PLEASE ANSWER THIS ASAP I WILL GIVE YOU 5 STARS AND BRAINLIEST

Answers

Answer:

1. d

2. c

3. b

4. f

5. a

6. e

Step-by-step explanation:

Good Luck

AC and BD are diameters of the given circle. OC is 6 centimeters and ABO = CBO. what is AO. A 3/ B 4/ C 5/ D 6​

Answers

Can I please see the circle then I can be able to answer it

Answer:

A

Step-by-step explanation:

Ben wants to join a fitness club. The fitness club charges an initial membership fee of $49.50 and a monthly fee of 17.50. Part B ben's company will pay $300.00 each year toward his fitness club membership. Ben thinks he will have to pay $40.50 for his membership his first year. Is he correct?​

Answers

Answer:

no he is not correct

Step-by-step explanation:

Question 4 of 15
When asked to find the sum of two mixed numbers with different
denominators, you should before you add.
A. round each fraction
B. find the difference
C. find a common denominator

Answers

“C” Os the correct answer

When asked to find the sum of two mixed numbers with different denominators, you should find a (C) common denominator before you add.

To add fractions with different denominators, it is necessary to find a common denominator for both fractions. Once the fractions have the same denominator, you can add or subtract the numerators while keeping the denominator unchanged. This allows for a meaningful addition of the fractions.

To find a common denominator, you need to determine the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators can divide evenly into. Once you have the common denominator, you can convert each fraction to an equivalent fraction with that denominator and then perform the addition.

After finding the common denominator, you add the numerators of the fractions and keep the common denominator. This will give you the sum of the two mixed numbers with different denominators. The correct answer is C. find a common denominator.

To know more about mixed numbers click here:

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what's the ratio of 0.9?

Answers

Answer:

[tex] \frac{9}{10} = 0.9[/tex]

Convert fraction (ratio)
Answer: 9/10, 0.9, 90%
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