The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).

Which statement correctly describes the relationship between △PQR and △P′Q′R′?

1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.

4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

no links please

Answers

Answer 1

Answer:

the Answer is:

△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I got 100% on the quiz

The Coordinates Of The Vertices Of PQR Are P(1, 4), Q(2, 2), And R(2, 1). The Coordinates Of The Vertices
Answer 2

The two triangles ΔPQR and ΔP'Q'R' are congruent.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.

In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.

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The Coordinates Of The Vertices Of PQR Are P(1, 4), Q(2, 2), And R(2, 1). The Coordinates Of The Vertices

Related Questions

GEOMETRY QUESTION W PICTURE

Answers

Answer:

R

Step-by-step explanation:

E is congruent to R because of angle stuff

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths

Answers

Answer:

y = 1/5x + 12/5

Step-by-step explanation:

First find the slope of the given line

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

m =( -3- -4)/(0- -5)

   (-3+4) /(0+5)

    1/5

Parallel lines have the same slope

Using point slope form of a line

y-y1 = m(x-x1)

y - 2 = 1/5(x--2)

y -2 = 1/5(x+2)

Distribute

y-2 = 1/5x +2/5

Add 2 to each side

y-2+2 = 1/5x + 2/5 + 2

y = 1/5x + 2/5 + 10/5

y = 1/5x + 12/5

Answer:

B. y = 1/5x + 12/5

Will give brainiest, need help

Answers

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

Answer:

[tex]f(x)=53[/tex]

Step-by-step explanation:

For [tex]f(x)=10x-7\\[/tex] substitute x for 6

[tex]10\cdot 6=60\\60-7=53[/tex]

[tex]f(6)=53[/tex]

Two ice cream machines make a total of 320 gallons in a certain amount of time. working together for the same length of time how many gallons of ice-cream can each number of machines make?
(a) 7 ice-cream machines

Answers

Answer:

7 ice cream machines can make 1,120 gallons of ice cream

Step-by-step explanation:

Divide 320 by 2

multiply 160 by 7

you should get 1,120

7 ice-cream machines makes 1120 gallons of ice-cream.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.

Here, quantity of ice cream made by 1 machine =320/2

= 160 gallons

Now, 7 ice-cream machines makes

160×7= 1120 gallons

Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.

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Brian, Pip and Sara share some sweets in the ratio 4:2:1. Brian gets 45 more sweets than Sara. How many sweets are there altogether?

Answers

Answer:

105 sweets

Step-by-step explanation:

4×15 = 60

2×15=30

1×15=15

60-15 =45

60+30+15=105

Solve the attached problem please

Answers

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

Which is the graph of the equation y+2=−12(x−4)?

Answers

Answer:

Step-by-step explanation:

y+2 = -12(x-4)

y=-12x+48-2

y = -12x+46

Draw a graph with the points (1,34) and (3,10)

Reduce the fraction to lowest terms 16/24

Answers

Answer:

2/3 is the anwer.

Step-by-step explanation:

2/3 is the answer

Step by step explanation:

Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.

Answers

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?

Answers

You forgot to add some information

3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?​

Answers

Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning what is the next time they will leave at the same time

Answers

Answer:

1 pm

Step-by-step explanation:

We have to find their LCM, or least common multiple

Multiples of 36: 36, 72, 108, 144, 180, 216, ......

Multiples of 45: 45, 90, 135, 180, ....

180 mins is their LCM.

180 mins = 3 hours

10am + 3hours = 1 pm

-Chetan K

If Lucy runs 1 mile in 6
minutes, how many miles
will she run in 23 minutes?

Answers

3 and 1/8 of a mile

Find the perimeter. Simplify the answer.

Answers

Answer:

21u-26

Remember to add like terms

A queen-sized mattress is 20 inches longer than it is wide. A king-sized mattress is
16 inches wider that the queen-sized mattress but has the same length. The area
of the king sided mattress is 1,280 square inches more than that of the
queen-sized mattress. Determine the dimensions (length and width) of both the
king-sized and queen sized mattresses.

Answers

Answer:

queen's width = 60 in

queen's length = 80 in

king's width = 76 in

king's length = 80 in

Step-by-step explanation:

-queen's wide = ???

-same length = queen's wide + 20

king size:

-king's wide = queen's wide + 16

-same length = queen's wide + 20

queen's area = x

king's area = x + 1280

area = width * length

let's call queen's width and king's width "qw" and "kw" respectively

let's call queen's length and king's length "ql" and "kl" respectively

Q area:

qw * (qw + 20)

qw² + 20qw = x

K area:

(qw + 16) * (qw + 20) = x + 1280

qw² + 36qw + 320 = qw² + 20qw + 1280

qw² - qw² + 36qw - 20qw = 1280 - 320

16qw = 960

qw = 960 / 16

qw = 60

ql = 60 + 20

ql = 80

kw = 60 + 16

kw = 76

kl = ql

kl = 80

-1.2= y/2.4 -1.7
Solve for y

Answers

[tex]{\huge{\boxed{\sf{Question}}[/tex]

[tex]-1.2= y\div2.4 -1.7[/tex]

Solve for y

[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]

let's put our equation first

[tex]-1.2= y\div2.4 -1.7[/tex]

Flip the equation

[tex]y\div2.4-1.7=-1.2[/tex]

Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]

[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]

BracketsOf multiplicationDivisionAdditionSubtraction

[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]

ParenthesisExponentsMultiplicationDivisionAdditionSubtraction

_________________________

[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]

_________________________

[tex]y\div2.4-1.7=-1.2[/tex]

[tex]{\underline{simplify}}[/tex]

[tex]0.416667y-1.7=-1.2[/tex]

add [tex]1.7[/tex] to both sides

[tex]0.416667y=0.5[/tex]

Divide both sides by [tex]0.416667[/tex]

[tex]y=1.2[/tex]

[tex]{\huge{\boxed{\sf{Answer}}}[/tex]

[tex]y[/tex] would equal [tex]1.2[/tex]

PLS HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

A) 49x^2-36 km

Step-by-step explanation:

Remember that speed is equal to distance divided by time. Therefore, if you multiply time with speed, then you get the distance traveled.

So, we will do (7x+6) kph multiplied by (7x-6) hours to get 49x^2-36 km.

Answer:

A.

Step-by-step explanation:

Can someone answer this question real quick please?

Answers

Answer:

open circle btw

Step-by-step explanation:

step 1: go to the right where the 3 is

step 2: go to the little dash the 1st one on the right of the 3

step 3: circle the dash and make an arrow going to the right

mike drove 10 miles in 30 minutes, what's the average speed in miles per hour

Answers

Mike is driving 20 miles per hour

If he is driving 10 miles in 30 mins
(1/2 an hour) if you times both by two it tells you the MPH that Mike is driving.

kevin sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $4.60. How much will she earn from selling 5 large necklaces and 6 small necklace?

Answers

Answer:

$56.10

Step-by-step explanation:

The first step is to multiply the values.

28.50 for large.

27.60 for small.

Add them together.

You get 56.10.

Answer/Step-by-step explanation:

Given:

$5.70= Large necklace

$4.60 = Small necklace

To Find:

How much will Kevin earn from selling 5 large necklaces and 6 small necklace?

Solution:

To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...

Multiply 5.70 by 5 and 4.60 by 6.

5.70 x 5 = 28.5

4.60 x 6 = 27.6

Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.

To Find all Kevin earn add both together = 56.10

Therefore Kevin earn $56.10 altogether.

Combining like terms with neg
Combine the like terms to create an equivalent expression:
--3x – 6+ (-1)

Answers

Answer:

3x−7

Step-by-step explanation:

3x – 6+ (-1)

3x + (-7)

I dont know what this is no links please

Answers

Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q

What is the measure of _____?​

Answers

Answer:

53°

Step-by-step explanation:

Angle ABE = 90°

Angle CBE = 37° (opposite angle)

90 - 37 = 53°

Factor the polynomial 49n^2+168n+144

Answers

Answer:

(7n+12)^2 or (7n+12)(7n+12)

Step-by-step explanation:

Answer:

(7n+12)^2    or     (7n+12) (7n+12)

Step-by-step explanation:

Both answers are the same thing it's just shortened with the first equation.

Work out the equation of
the line that goes through
(3, 2) and (-1, 10)

Answers

Answer:

[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]

Step-by-step explanation:

Let, A=(3,2)

      B=(-1,10)

So, The equation will be

[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]

Hope you have understood this.....            

ask me if you have any confusion.....            

if you liked it pls mark it as the brainliest

Answer:

y = - 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )

m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2 )

2 = - 6 + c ⇒ c = 2 + 6 = 8

y = - 2x + 8 ← equation of line

please help me solve this problem.

Answers

Answer:

a=36

Step-by-step explanation:

The given angles are corresponding

2a+3a=180

5a=180

a=180/5=36

Rearrange the numbers below from least to greatest


34.039 32.94 34.198 32.102 33.6

epic


PLSSSSS HELP-

Answers

Answer:

Least ------> Greatest

32.102, 32.94, 33.6, 34.039, 34.198

Answer:

32.102, 32.94, 33.6, 34.039, 34.198

Step-by-step explanation:

34.039, 32.94, 34.198, 32.102, 33.6

Rearrange:

34.198 > 34.039

33.6 > 32.94 > 32.102

New list: 32.102, 32.94, 33.6, 34.039, 34.198

-Chetan K

equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5

Answers

Answer:

y=1/3x+5 hope it helps you

What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.

Answers

Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

The Empirical Rule states that, for a normal variable:

Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

The mean is of 7 inches.The standard deviation is of 1.2 inches.

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

A similar problem is given at https://brainly.com/question/24537145

A mural's height is 2 1/4
meters. Which of the following is equivalent to 2 1/4 meters? ​

Answers

Answer:

you didnt give any options

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