Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?

Select The Correct Answer.Triangle ABC Is Reflected Across The Yaxls And Then Dilated By A Factor Of

Answers

Answer 1

Answer: B

Step-by-step explanation:

Reflection does preserve side length and dilation preserves angles.

Answer 2

The solution is Option B.

The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the triangle be represented as ΔABC

Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin

And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

So , only the x coordinate of the point changes and there is no change in the angles or the side lengths

Now , dilation changes the side lengths of the triangle by a factor of 2

But there is no change in the angles of the triangle after a dilation

Hence , reflection preserves the angles and side lengths of a triangle

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Related Questions

Catryna has 15 coins in nickels and quarters, totaling $3.75. How many quarters does she have?

Answers

Answer: 15 Quarters

Step-by-step explanation:

4Q = $1

12Q = $3

3Q = $0.75

12Q + 3Q = $3.75

Jessica received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.76 per pound. After buying the coffee, she had $33.44 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

Set up an equation

80 dollars is what we started off with

$7.76 per unknown pounds is the money you used

Jessica is left with 33.44 now

80 - 7.76x = 33.44

-80               -80

-7.76x = -46.56

/-7.76    /-7.76

x = 6 pounds

ANSWER: she bought 6 pounds of coffee

EXPLANATION:

first let’s see how much she spent on coffee. To do this subtract the amount she has left for what she started out with.

80 - 33.44 = 46.56

That’s how much she spent on coffee.

We know coffee is 7.76 per pound so we just need to divide the amount she spent by the coast per pound.

46.56 divided by 7.76 = 6

So she bought six pounds.

If you have any questions just ask :)

Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

*The total cost of the buses was the same for the two schools
*Students from Valley High School paid $5 less than students from Haynes High School.

What was the cost per student for Haynes High School?

A. $5 B. $15 C. $20 D. $40

Answers

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

[tex]60x=80y[/tex]

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

[tex]y=x-5[/tex]

Now we have two equations, we can use to substitute into the other expression:

[tex]60x=80y[/tex]

[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation

[tex]60x=80x-400[/tex]

[tex]-20x =-400[/tex]

[tex]x = 20[/tex]

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

This is my question pls help!!!

Answers

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Show Work:

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]

[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]

[tex]20 {e}^{9} {f}^{11} [/tex]

[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]

Answer:

[tex]20 {e}^{9} {f}^{11} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

HELP!!!

2 + 4x = 30

Please do not just type the answer, please explain how you got it. Whoever explains best gets brainliest.

Answers

Answer:

x=7

Step-by-step explanation:

2+ 4x =30

-2          -2

0+ 4x =28

     4x= 28

4x divided by 4= 0

28 divided by 4 equals 7

x=7

Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.

Answers

Answer: 4.15

Step-by-step explanation:

Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN

Answers

Answer:

B

Step-by-step explanation:

that's my answer hope it helps ✨

The mid segment can be MK or LO or LN.

What is Mid segment?

The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.

Given:

We know that the Midsegment is generally formed  by the mid points of the line.

But, for Mid Segment of LJK we can write

Mid Segment= 1/2 x Triangle Base

                     = 1/2 x JK (or LK or LJ)

                     = MK or LO or LN

Hence, the mid segment can be MK or LO or LN.

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What is the length of side a?

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex]

[tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex]

[tex] \sf16 + 9 = {a}^{2} [/tex]

[tex] \sf \: a {}^{2} = 25[/tex]

[tex] \sf \: a = \sqrt{25} [/tex]

[tex] \sf \: a = 5 \: units[/tex]

Therefore, Length of side a is 5 units ~

Write the formula for the volume of a rectangular solid of length " l, " width " w, " and height " h. " Write the variable equation/write formula using the variables


Select one:


V=lwh


V= (lw)/h


V=(hl)/w


V=(hw)/l

Answers

The formula to find the volume of a rectangular solid is the first one.
V = lwh

Alejandro bought $3. 50 worth of pencils and erasers at the school store. Pencils cost $0. 50 apiece, and erasers cost $0. 75 apiece. Which equation written in standard form represents the number of pencils, p, and the number of erasers, e, that Alejandro bought? 0. 75e = 3. 50 â€" 0. 50p 0. 50p 0. 75e = 3. 50 3e = 14 â€" 2p 2p 3e = 14.

Answers

Answer:

2p + 3e = 14

Step-by-step explanation:

The required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

Given, Alejandro bought $3.50 worth of pencils and erasers at the school store.

The cost of each pencil is $0. 50.

The cost of each eraser is  $0. 75.

Since He denotes no. of pencil by p and no. of eraser by e, so the required equation will be,

[tex]0.50\ p+0.75\ e= 3.50\\[/tex].

Hence the required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

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someone pls pls help ​

Answers

Answer:

4√2 cm

Step-by-step explanation:

ABCD is a square.

Each side measures 8 cm.

So,

AB = BC = CD = AD = 8 cm

P, Q, R, and S are mid - points of ABCD.

P is the mid - point of AB.

So,

AP = PB

AP + PB = AB

AP + AP = AB

2AP = 8

AP = 8 / 2

AP = 4 cm

S id the mid - point of AD.

So,

DS = SA

DS + SA = AD

SA + SA = AD

2SA = 8

SA = 8 / 2

SA = 4 cm

Property of a square : The angle between two sides is 90°.

So,

The angle between side SA and AP is 90°.

So,

SA, AP and SP forms a right angled triangles.

By Pythagoras theorem,

( SP)² = ( SA )² + ( AP )²

( SP )² = 4² + 4²

= 16 + 16

( SP )² = 32

SP = √32

SP = 4√2 cm

Since PQRS is also a square.

In square, all sides are equal.

So,

PQ = QR = RS = SP

Since SP = 4√2 cm

Hence,

PQ = 4√2 cm

Therefore,

the length of PQ is 4√2 cm.

Answer: 5.7

Step-by-step explanation:

Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.

So the midpoint of AB is:

8/2=4 = BP

Since Q is also a midpoint so BQ is equal to 4.

We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.

The hypotenuse of the triangle is PQ.

Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.

P's Theorem : a²+b²=c²

basically in the case of this question it means:

(BP)²+(BQ)²=(PQ)²

now we just subsiture the values and solve for PQ:

4²+4²=(PQ)²

16+16=(PQ)²

32=(PQ)²

PQ=5.65...

= 5.7(rounded to one decimal place)

Describe the graph.
y=12x+2

Group of answer choices

Horizontal line that goes through the point (0,2).

Vertical line that goes through the point (2,0).

A line that goes through the point (0,2) that goes up one unit for every two units moving right.

A line that goes through the point (2,0) that goes up one unit for every two units moving right.

Answers

Answer:

It would be the last one!! Hope this helps

a line that goes through the point (2,0) that goes up on unit for every two unites moving right.

What is the equation of the line with a slope of 4 and passes through the point (1, -4)?

Answers

Answer:

y=4x-8

Step-by-step explanation:

m=4 (1,-4)

-4=4(1) + c

-4=4+c

-4-4=c

-8=c

y=4x-8

Answer: y = 4x - 8

Step-by-step explanation:

The best way to go about this is to first put the information you know into point-slope form, which is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the values of our point (1, -4), so:

[tex]y_{1}=-4[/tex], and [tex]x_{1}=1[/tex].

[tex]m[/tex] represents our slope of 4, so:

[tex]m=4[/tex]

From this, we can plug in our values:

[tex]y-(-4)=4(x-1)[/tex]

A little simplification and distrobution takes us to this:

[tex]y+4=4x-4[/tex]

Then simply subract 4 from both sides to get this:

[tex]y=4x-8[/tex]

An easier way to reason this is to visualize the line in your head and figuring out what the y-intercept is so you can go strait into the [tex]y=mx+b[/tex] form where b is the y-intercept.

Hey y’all pls help me.

Answers

Answer:

-b+2>-10

Step-by-step explanation:

Just ask.

Hope this helps! :D

Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
bank account after tomorrow.
deposit $15. Write an expression to represent how much money Bernie will have in his

Answers

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

Find the circumference of a circle with a radius of 2.4 m

Answers

Answer:

15.07964

..................

not sure how many decimals you want lol, but here ya go:

15.07964474

for future reference you can plug radius (r) into

c = 2pi x r

to get the circumference :)

The altitudes of each triangle are drawn. Which of the triangles has an orthocenter on the exterior of the triangle?

Answers

Answer:

the second triangle

Step-by-step explanation:

because the point of intersection is out the triangle

Multiplying by 0.89 is the same as decreasing by _____%.

Answers

Answer:

1-0.89=0.11

0.11*100=11%

Please help I have semester exams :(
M is the midpoint of segment AT.
Solve for X and AM

Answers

Answer:

x=2

Step-by-step explanation:

5x=3x+4

5x-3x=4

2x=4

x=4/2

x=2

All the best for ur exams .........Mine are going on too btw.......

Will give brainliest

Answers

Slope equals rise over run

The distance of the points is 4 units down and 2 units right

-4/2 = -2

Slope = -2

A cannonball shot from a cannon has projectile motion.
true or false
need a answer please​

Answers

True because it makes a parabola shape it is clearly true

pls help me asap !!!!!

Answers

Step-by-step explanation:

the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.

actually, this proof is the same (and is also valid) for non-isoceles triangles.

Multiply the fractions and reduce to lowest terms: 3/4 x 1/3​

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

3/4 x 1/3​

=> 3/12

=> 1/4

Therefore, 1/4 is the answer.

Hoped this helped.

△ABC has vertices A(1,1) B(5,5) and C(4,6)
What is the perimeter of △ABC

What is the area of △ABC? Show your work.

Answers

Length in units:

Use phytogoras theorem or measure it by a ruler if your using a graph paper

AB = 5.65 units

AC = 5.83 units

CB = 1.41 units

Perimeter =5.65 + 5.83 + 1.41 = 12.89 units

Area = 1/2 * 1.41 * 5.65 = 3.98units

find the perimeter of a regular pentagon with each side measuring 6cm.

Answers

Answer:

30cm

Step-by-step explanation:

Perimeter of a Pentagon=5L

P=5×6cm=30cm

Find the surface area of the following prism.

Answers

Answer: 350 square inches

The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)

4(9+7) + 11 (5+7+9 +5)

--> 350

= 82.2×3.6 Show your working out

Answers

The answer would be 295.92

Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
inches taller than Nancy. How tall is Jane?

Answers

Jane is 8 13/40 inches tall

Given the following:

Height of Matt = 5 3/4 in = 23/4 in

If Nancy is 1 3/8 inches taller than Matt, hence;

Height of Nancy = 23/4 + 11/8 = 46+11/8 Height of Nancy = 57/8 in

if Jane is 1 1/5  inches taller than Nancy, then the height of Jane will be;

Height of Jane = 57/8 + 6/5Height of Jane = 285+48/40Height of Jane = 333/40 = 8 13/40 inches

Hence Jane is 8 13/40 inches tall

Learn more on sum here: https://brainly.com/question/2929160

my Christmas present to you​

Answers

Answer:

super man

Step-by-step explanation:

Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50

Answers

Answer    g

Step-by-step explanation:

g

Answer:

don't know i tell true

Step-by-step explanation:

Other Questions
Which words and phrases from the text illustrate the narrator's first impression of Usher? Stern, deep, irredeemable Sufficiently distinct, wild gossamer Abrupt, weighty, unhurried Vivacious warmth, perfect sincerity. they(not contact)...to their family since they went away A square has sides of length 36.5 yards. What is the area? (100) POINTS! PLEASE HELP!!! The Mystery of Loch NessBy Kayden MitchellOf all the mysteries in the world, none has been as popular as that of the Loch Ness Monster. Perhaps the biggest mystery is whether it is convincing evidence or a simple desire to believe that keeps the myth alive.Loch Ness is a lake in Scotland. The loch, or lake, is known for sightings of a mysterious monster. Most who see this monster, known as Nessie, describe something with a long neck and several humps above the water. Sometimes the "monster" is moving in these sightings, and sometimes it is still. Many have suggested that Nessie might be a plesiosaur (plea-see-a-soar), an aquatic dinosaur that was trapped in the loch after the last ice age.The plesiosaur theory presents several problems. First, the plesiosaur is an air breather. Such a creature would need to surface often and, therefore, be seen more frequently. Second, it's unlikely that the same creature has lived in the loch since the last ice age. Today's creature would have to be the offspring of an original plesiosaur trapped long ago. This would suggest multiple creatures in the loch (needed to produce offspring). Again, sightings would be more frequent if this were the case.So from a purely logical stand point, the existence of such a large and ancient creature is unlikely. But assume for a minute that it is possible. What would a plesiosaur need to live in an enclosed lake?Tropical waters: Scientists believe plesiosaurs were warm-blooded. Like crocodiles and alligators, plesiosaurs would need to live in warm waters. The loch is very cold with temperatures averaging about 40 degrees Fahrenheit (4.4 Celsius).Food: Like other warm-blooded creatures, plesiosaurs would need a large quantity of food. If there is a group of Nessies, then even more food would be needed. Because the loch is full of silt (underwater dust) not much light gets into the deepest areas. So the food chain, which would depend on plankton, is very weak at its base. As a result, there is probably not enough food to support such a large creature.However, the plesiosaur theory is not the only one. Many other ideas attempt to explain the sightings and "photographs." But two separate sonar surveys of the loch have not found any evidence of a creature larger than a salmon. The last survey1, completed in 2007 by the British Broadcasting Company (BBC), involved 600 different sonar beams. Using satellite navigation systems, the team made sure every inch of the loch was searched. The team found nothing.With cell phones and digital cameras, one would think that sightings of Nessie would increase. This has not happened. The BBC team believes the legend of Nessie has endured because people see what they want to see. To prove this, the team used a fence post, raising it before groups of tourists. Afterwards several of the tourists asked to draw pictures of what they had seen drew pictures of a monster's head.1 "BBC 'proves' Nessie does not exist." 27 July, 2003. http://news.bbc.co.uk/2/hi/science/nature/3096839.stmWhich describes the introduction to the essay? It has two paragraphs: one for the thesis and one for background. It has a wide focus: one that includes a variety of theories. It states a contradiction: one that the conclusion corrects. It states the main point: one that is not fully answered in the essay. lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made? What condition is required for piles of sediment to become a sedimentary rock? 1. Low force 2. High energy3. High pressure or 4. Low temperature why are arm circles considered a dangerous stretching exercise? how do i solve for this? Journalize the following transactions using the direct write-off method of accounting for uncollectible receivables. April. 1 Sold merchandise on account to Jim Dobbs, $7,200. The cost of goods sold is $5,400. June 10 Received payment for one-third of the receivable from Jim Dobbs and wrote off the remainder. Oct. 11 Reinstated the account of Jim Dobbs and received cash in full payment. 154 sq. cm is the area of a circle so find its radius [tex]\pi =\frac{22}{7}[/tex] A sheet of plastic is 0.12 cm thick. The sheet of plastic is folded so that the folded sheet is twice as thick after each fold.2. How thick will it be after 3 folds?1. What is the least number of folds you have to make before the folded plastic is thicker than 3.6 cm? Add the phrase that completes the thought in the underlined sentence.Without hesitation, she sprinkled some of the snack mix ontothe yogurt. Simon, who'd been watching Jasmine with interest,did the same. As they each took a bite and the sweet andcrunchy combination hit their taste buds, their eyes met, andthey knew.As they each took a bite and the sweet and crunchy combination hit their taste buds, theireyes met, and they knewthey had created a great new treatD) they should've sprinkled on more snack mixthey had eaten the yogurt too quicklythey should've waited to mix the two foods what radio personality was also the voice of shaggy on the cartoon scooby-doo? Given the probabilities below, for what P(A) are events A and B independent? P(B)=0.5 P(A and B)=0.25. A) 0.75B) 0.5C) 0.25D) 0 Please help me (It's for a really important grade) in order to measure the mass of water it needs to be in? Which trait of Thomas Jefferson led the Continental Congress to choose him to write the Declaration of Independence? Jonathan is pushing a 25 kg box with a force of 135 N. The friction opposing the motion is unknown. The overall net force for the box is 70 N. Using this information calculate the magnitude of the frictional force of the box. 13 fasteners cost 78 cents find the cost for purchasing 4, 687 fasteners Why don't atoms get too close?a.) The electrons from atom repel each otherb.) The protons from each atom repel each otherc.) The neutrons from each atom repel each other