Write the coordinates of the vertices after a reflection over the line y=-5.

Write The Coordinates Of The Vertices After A Reflection Over The Line Y=-5.

Answers

Answer 1

The coordinates of the vertices after a reflection over the line y = -5 is given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

How to obtain the coordinates of the vertices after the reflection?

The vertices of the original quadrilateral are given as follows:

T(-2,-5), U(2,-3), V(-2,-1), W(-3,-3).

The reflection line y = -5 is an horizontal line, meaning that after the reflection:

The x-coordinate remains constant.The y-coordinate will be equidistant to y = -5, however in an opposite direction.

For example, the distance of the y-coordinate of the vertex U from -2 is of:

2 units above.

Then the y-coordinate of the vertex U' will be also 2 units from -5, just two units below, hence:

U'(2,-7).

Applying this rule for all the other vertices, they will be given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

More can be learned about reflection at https://brainly.com/question/26642069

#SPJ1


Related Questions

If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?

A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |

Answers

Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.

Step-by-step explanation:

Note that given that 3/4 is less than 1 the original function is compressed.

- Take care <3

Other Questions
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50 what international organization runs a dispute settlement process in which countries can resolve trade inequalities in a formal arena? your ultra modern store is one story round. your square footage is 31,415. what is your he diameter of your store? area of a circle = a collection of dna fragments of various lengths was subjected to electrophoresis. arrange these dna molecules in order, based on the distance they would travel from the well. the molecule that travels the shortest distance should be at the top of the list, and the molecule that travels the greatest distance should be at the bottom of the list.a. 900 bpb. 2500 bpc. 4200 bpd. 6000 bpe. 8000 bp emily surveyed all the students at her school to find out if they plan to attend college. the results are shown in the two-way frequency table. emily knows that the student body at her high school is distributed as follows: freshmen: 28% sophomores: 26% juniors: 24% seniors: 22% according to the information emily has gathered, which of the following statements are true? choose all that are correct. responses more than 40% of the students at the school are freshmen or sophomores who plan to attend college. more than 40% of the students at the school are freshmen or sophomores who plan to attend college. more than 10% of the students at the school are juniors or seniors who do not plan to attend college. more than 10% of the students at the school are juniors or seniors who do not plan to attend college. if a student who plans to attend college is selected at random, the probability that he or she is a senior is 0.1804. if a student who plans to attend college is selected at random, the probability that he or she is a senior is 0.1804. if a student at the high school is selected at random, the probability that he or she is a freshman who does not plan to attend college is 0.15. if a student at the high school is selected at random, the probability that he or she is a freshman who does not plan to attend college is 0.15. which sentence correctly describes when the triple-alpha process occurs in the life cycle of an average-mass star You install 538 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 127 feet. What is the length of the yard? The elevator descends with an acceleration of 0.9 m/s. Find how much a 95 kg person weighs in it at the moment of descent. -------------------due now--------------------- Select all true statements regarding gamma decay. There are currently 25 frogs in a (large) pond. The frog population grows exponentially, tripling every 10 days. How long will it take (in days) for there to be 150 frogs in the pond? Time to 150 frogs: days The pond's ecosystem can support 1400 frogs. How long until the situation becomes critical? Time to 1400 frogs: days Yiannis is the CEO of a company that has cornered the market on products for both amateur and professional golfers and is the primary seller for the majority ofthese products in the marketplace. What BEST describes the competitive structure that Yiannis's business participates in?A. MonopolyB. Perfect competitionC. MonopsonyD. Monopolistic competition If a fair coin is tossed 9 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 tails? The threat, use, or conspiracy to use _____ within the United States or against an American citizen abroad is punishable under federal law. zoe, aged twenty-two, gave birth to her first child, alexa, four days ago. zoe's initial complaints included insomnia, restlessness, and emotional labiality which progressed to confusion, irritability, delusions, and thoughts of wanting to kill her baby. which diagnosis would you consider first? Find the y intercept y = 17 x + 12. You want to know which files are large files (at least 0.1MB) in your data directory, but you do not want to go through them one by one. So you decide to design a regular expression to help with this. Locate the rule under the p1 target in your Makefile. This rule uses the Is command to list the contents of the data directory in your current folder. The -I option produces the long listing for these contents, which includes their size in bytes. The output of this is command is then piped as input into grep command. The-E option for the grep command allows searching through this text with a regular expression. Replace the regular expression in this grep command to search for any 6 digit number. Since the size of these files are displayed in bytes, the smallest possible six digit number: 100000 corresponds to 0.1MB. When this regular expression is correct, running "make p1" should display the three large files that can be found within the provided data directory. Tip: Start by composing a regex that matches any single digit, and test this to make sure that it works as expected. If you encounter trouble with one specific way of matching single digits, like \d, then please try to find another way that works with grep - E. Once this is working, look for a way to extend this pattern so that it must be repeated exactly six times to be matched. True or False? A true market segment meets all of the following criteria:it is distinct from other segments (different segments have different needs), it is homogeneous within the segment (exhibits common needs),it responds similarly to a market stimulus, and it can be reached by a market intervention Keep-Or-Drop Decision, Alternatives, Relevant CostsReshier Company makes three types of rug shampooers. Model 1 is the basic model rented through hardware stores and supermarkets. Model 2 is a more advanced model with both dry-and wet-vacuuming capabilities. Model 3 is the heavy-duty riding shampooer sold to hotels and convention centers. A segmented income statement is shown below.Model 1Model 2Model 3TotalSales$270,000$598,000$606,500$1,474,500Less variable costs of goods sold(89,500)(163,640)(352,800)(605,940)Less commissions(6,000)(27,500)(20,250)(53,750)Contribution margin$174,500$406,860$233,450$814,810Less common fixed expenses:Fixed factory overhead(410,000)Fixed selling and administrative(299,000)Operating income$105,810While all models have positive contribution margins, Reshier Company is concerned because operating income is less than 10 percent of sales and is low for this type of company. The companys controller gathered additional information on fixed costs to see why they were so high. The following information on activities and drivers was gathered:Driver Usage by ModelActivityActivity CostActivity DriverModel 1Model 2Model 3Engineering$76,000Engineering hours71071219Setting up177,000Setup hours12,30012,70029,219Customer service112,000Service calls14,3001,58019,219In addition, Model 1 requires the rental of specialized equipment costing $25,000 per year.1. Reformulate the segmented income statement using the additional information on activities. Use a minus sign to indicate any negative margins. Do NOT round interim calculations and, if required, round your answer to the nearest dollar.Reshier CompanySegmented Income StatementModel 1Model 2Model 3Total$$$$Contribution margin$$$$Less traceable fixed expenses:Product margin$$$$Less common fixed expenses:Operating income$ HELPPPPP!! In the early Cold War, the ________ was formed for common defense against the Soviet Union, which then formed the ________ in response.A. United Nations; North Atlantic Treaty OrganizationB, Warsaw Pact; North Atlantic Treaty OrganizationD. North Atlantic Treaty Organization; Warsaw PactD. Marshall Plan; Communist International