Determine if the two figures are congruent and explain your answer.

Determine If The Two Figures Are Congruent And Explain Your Answer.

Answers

Answer 1

The corresponding sides and angles of quadrilaterals ABCD and EFGH are equal, we can conclude that the two figures are congruent.


To determine if the two figures, quadrilaterals ABCD and EFGH, are congruent, we need to compare their corresponding sides and angles.

Step 1: Compare side lengths
Let's calculate the lengths of the sides of each quadrilateral:

For ABCD:
- Side AB: √[(-2 - (-3))^2 + (4 - 2)^2] = √[1^2 + 2^2] = √5
- Side BC: √[(0 - (-2))^2 + (3 - 4)^2] = √[2^2 + 1^2] = √5
- Side CD: √[(-2 - 0)^2 + (-1 - 3)^2] = √[(-2)^2 + (-4)^2] = √20
- Side DA: √[(-3 - (-2))^2 + (2 - (-1))^2] = √[1^2 + 3^2] = √10

For EFGH:
- Side EF: √[(3 - 1)^2 + (-2 - (-3))^2] = √[2^2 + 1^2] = √5
- Side FG: √[(2 - 3)^2 + (0 - (-2))^2] = √[(-1)^2 + 2^2] = √5
- Side GH: √[(-2 - 2)^2 + (-2 - 0)^2] = √[(-4)^2 + (-2)^2] = √20
- Side HE: √[(1 - (-2))^2 + (-3 - (-2))^2] = √[3^2 + 1^2] = √10

Step 2: Compare angles
Let's calculate the measures of the angles of each quadrilateral:

For ABCD:
- Angle A: This angle is formed by sides DA and AB.
- Angle B: This angle is formed by sides AB and BC.
- Angle C: This angle is formed by sides BC and CD.
- Angle D: This angle is formed by sides CD and DA.

For EFGH:
- Angle E: This angle is formed by sides HE and EF.
- Angle F: This angle is formed by sides EF and FG.
- Angle G: This angle is formed by sides FG and GH.
- Angle H: This angle is formed by sides GH and HE.

Step 3: Compare the corresponding sides and angles
To determine if the two quadrilaterals are congruent, we need to compare the lengths of their corresponding sides and the measures of their corresponding angles.

Comparing the side lengths:
- AB is equal to EF.
- BC is equal to FG.
- CD is equal to GH.
- DA is equal to HE.

Comparing the angles:
- Angle A is equal to Angle E.
- Angle B is equal to Angle F.
- Angle C is equal to Angle G.
- Angle D is equal to Angle H.

Since the corresponding sides and angles of quadrilaterals ABCD and EFGH are equal, we can conclude that the two figures are congruent.

Keep in mind that when determining congruence, it is important to compare all corresponding sides and angles. In this case, all sides and angles match, indicating congruence.


Related Questions

how does the atp adp cycle work

Answers

Some energy in ATP is released to do work, such as move muscles or force a seedling out of the ground. ... Within the power plants of the cell (mitochondria), energy is used to add one molecule of inorganic phosphate (P) to a molecule of adenosine diphosphate (ADP).


A student was observing slides of cell division in one of the slides he noticed loosely coiled chromatin depicting DNA replication which phase of the cell cycle could it be

Answers

Interphase as it prepares cell for division by occurrence of some important biological functions and duplicate genetic material (DNA)

Answer:

DNA replication occurs during the S phase.

Explanation:

During the processes of the cell cycle is a phase called the S phase (Synthesis Phase) in which the DNA is replicated, occurring between the two phases G1 and G2.

Complete accurate DNA instructions in the cell must be duplicated in order to produce two similar daughter cells which occurs during the S phase where loosely coiled chromatin can be seen.

Gregor Mendel and Australian monk who lived in the 1800s is known as the father of genetics explain why Mendel has given this title.

Answers

Gregor Mendel, an Austrian monk who lived in the 1800's, is known as the father of genetics. Explain why Mendel has been given this title. He was the first person to explain the mechanisms of heredity because of his experiments with pea plants.

Final answer:

Gregor Mendel is deemed the father of genetics due to his groundbreaking research in heredity using pea plants, which led to fundamental principles of genetic inheritance.

Explanation:

Johann Gregor Mendel is known as the father of genetics because of his pioneering work with pea plants which laid the groundwork for our understanding of genetic inheritance. Conducting experiments in the garden of his monastery, Mendel painstakingly crossed pea plants and observed the inheritance patterns over multiple generations. His discovery of dominant and recessive traits, along with the concept that traits are passed down independently, revolutionized the biological sciences. Mendel's research ultimately led to the laws of inheritance that bear his name, Mendel's Laws, which explain how traits are transmitted from parents to offspring.

Which of the following statements about Earth’s energy budget are true?

a. Most energy reaches Earth from space as visible light.
b. Most of the energy that leaves Earth travels in the form of visible light.
c. More than 99% of Earth’s outgoing energy comes from energy brought to Earth’s surface in volcanic eruptions.
d. Energy leaves Earth’s system only during the daytime
e. The thermal energy (heat) that you feel when you put your hand on the ground originates from the sun.

Answers

Answer: E. The thermal energy (heat) that you feel when you put your hand on the ground originates from the sun.

Explanation:

Most energy reaching Earth is visible light from the Sun and thermal energy from the ground originates from the Sun as it's absorbed and emitted as heat, options (a) and (e) are correct.

Most energy reaching Earth is in the form of visible light from the Sun. The Sun's nuclear fusion processes primarily produce energy in the form of visible light, which then travels through space and reaches Earth. This visible light is what makes our planet habitable by providing the energy necessary for photosynthesis in plants and warming the Earth's surface.

The thermal energy (heat) you feel when touching the ground also originates from the Sun. Solar energy is absorbed by Earth's surface, warming it. This heat is then conducted into the ground and radiated back as thermal infrared radiation. This process maintains the Earth's temperature and sustains life on our planet. So, the warmth you experience when touching the ground is ultimately a result of the Sun's energy input into Earth's system, options (a) and (e) are correct.

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What is the main purpose of data analysis?
A. to take new measurements
B. to better understand your data
C. to do calculations with your data
D. to change your data so that they support your theory

Answers

to better understand your data

in the diagram below, what is the function of structure 4?

Answers

A: provided structural support to the cell

During which stage of postmortem decomposition does the body dry out and give off an Odor taht smells like cheese

Butyric fermentation

Black putrefaction

Putrefaction

Dry decay

Answers

putrefaction smells cheese

Answer:

Option A , Butyric fermentation

Explanation:

It is during the stage of Butyric fermentation , where a body starts smelling like cheese.

Butyric acid is a form of carboxylic acid which is predominantly found in the parmesan cheese, butter , vomit and has an unpleasant odour, taste and after taste.

It is a common form of esters that is found in the fats of animals and oils of plants.

Hence, option A is correct.

What occurs during mitosis? Choose the correct answer.

DNA and chromosome duplication
growth and metabolism of the cell

cell division to create two daughter cells

Answers

During mitosis  cell division occurs to create two daughter cells


Answer:

The answer is c: Cell division to create 2 daughter cells

Thank you have a good day!  (:

Explanation:

Velma is developing a computer model of translation. Her instructor points out that the model does not include ribosomes or ribosomal RNA. If the model is accurate in other ways, how does the absence of ribosomes and ribosomal RNA affect it? A. Certain amino acids would be missing from the polypeptides.
B. The polypeptides would be much longer than normal.
C. Amino acids would be joined together in an incorrect order.
D. Amino acids would not join together, and no polypeptides would form.

Answers

The answer would be D

The correct answer would be option D.

Ribosomal RNA or ribosomes are the site if protein synthesis in a cell.

The small and large subunits of the ribosome form a complex around the initiation codon of mRNA.

The ribosome also has a peptidyl transferase activity which helps in adding amino acid to growing polypeptide chain.

Thus, in absence of ribosome no polypeptide chain would form.

what are the two types of fermentation?

1) lactic acid & ethyl alcohol

2) pyruvic acid and glycolysis

3) lactic acid and pyruvic acid

4) pyruvic acid and ethyl alcohol

Answers

The answer is A - Lactic acid & ethyl alcohol

1) lactic acid & ethyl alcohol are the two types of fermentation.

What are the two fermentation processes?

There are two types of fermentation: alcoholic fermentation and lactic acid fermentation.

The two types of fermentation are:

Lactic acid fermentation: This type of fermentation produces lactic acid.

Alcohol fermentation: Also known as ethanol fermentation, it converts pyruvic acid to acetaldehyde and CO2.

Based on the final product formed, fermentation can be divided into four types: lactic acid fermentation, alcoholic fermentation, acetic acid fermentation, and butyric acid fermentation. The three main types of

fermentation are alcoholic fermentation, lactic acid fermentation, and acetic acid fermentation.

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cross type AB man with tybe O women. what are the genotypes and phenotypes of the possible offspring

Answers

Phenotypes = A blood group

                        B blood group

Genotypes = AO and BO

Why is a cellular respiration called an aerobic process?

Answers

Because cellular respiration requires oxygen. aerobic means requiring oxygen.

After mitosis, _____ genetically identical cells are formed.
a. two
b. three
c. four

Answers

After mitosis, two genetically identical cells are formed. Hope this helped!

Answer:  A- two . Hope this helps.

which property of the gneiss sample prevented it from weathering?
crystalline texture
mineral composition
density
cleaveg

Answers

mineral composition is the answer

Carol and Maria spread some dirt out in a flat pan. Their classmate Ben blew over the dirt with a straw. Some of the dirt moved and formed ruts and bumps. They propped up one end of the pan with a board so the dirt looked like a big hill. Then the girls sprayed the dirt with some water in a spray bottle. More dirt moved as the water ran down the hill. Both the wind and the water modeled what process? A) decomposition B) erosion C) gravity D) weathering

Answers

the answer should be D

Heating cheese so that it spreads over the surface of hot food involves which change of state?

Answers

The cheese melts, so it changes from solid to liquid. It is a physical change since nothing chemically will change.

The cheese changes by melting from solid form to liquid form

The “push” needed to start a chemical reaction is the:

enzymatic energy.

endothermic energy.

activation energy.

reactant energy.

Answers

its reactant energy, hope this helps :)






The “push” needed to start a chemical reaction is the activation energy. Option C is correct.

Activation energy is the minimum amount of energy that is required for a chemical reaction to start. It is the energy barrier that the reactants must overcome in order to form products. Without activation energy, the reactants would not have enough energy to break their bonds and form new ones. This is why chemical reactions do not happen spontaneously.

Enzymes are biological molecules that can help to lower the activation energy of a chemical reaction. This means that enzymes can make reactions happen faster by providing the necessary energy boost. Endothermic energy is the energy that is absorbed by a system during a chemical reaction. Reactant energy is the energy that is possessed by the reactants before a chemical reaction takes place. Option C is correct.

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Please I need help with number 14

Answers

What’s the question

According to the cell theory ,viruses are considered nonliving because they

Answers

Viruses are considered non living because they lack the ability to reproduce without a host cell.

[Please mark me as Brainliest]

Answer:

According to cell theory, all organism arise from the pre existing cell. Cell acts as the structural and functional unit of the living organism. Viruses may be defined as the organism that contain DNA and RNA as their genetic material. Viruses are smaller than bacteria and can affect the different forms of life.

Viruses are non-living as well as acellular organism because they cannot perform the metabolic process that are performed by the living organism. They acts as non - living organism as they do not reproduce, show growth and metabolism outside the host environment. They only shows growth and reproduction once they enter inside the host organism.

What is the difference between a population showing exponential growth and a population showing logistic growth? (Site 1)

Answers

Population growth refers to the patterns governing how the number of individuals in a given population changes over time. These are determined by two basic factors: the birth rate and death rate.

Answer:

A population can show two types of growth, exponential or logistic. Exponential growth occurs in case of unlimited resources like unlimited food or space. Organisms in the population do not have to compete with each other and the population can grow indefinitely. Such a growth model shows J shaped curve when population size is measured against time.

Logistic growth occurs in case of limited resources and competition. The population has carrying capacity i.e. maximum number of individuals it can hold before the population growth becomes stagnant. This model shows S shaped curve when population size is measured against time.

In real life logistic growth is shown by populations. Exponential growth is not possible since the resources get used up after some time.

Why are renewable sources of energy a better option than nonrenewable resources
A. Because renewable sources are free for everyone
B. Because renewable sources can be replenished
C. Because renewable resources produce pollution
D. Because renewable sources produce carbon dioxide

Answers

Answer: Option B is correct.

Explanation: Because renewable sources can produce again (reproduce) again like,

1.Diversifying energy supply and reducing dependence on imported fuels.

2.Creating economic development and jobs in manufacturing, installation, and more.

While nonrenewable sources can't reproduce any type of sources.

I hope this answer will be helpful..

Thankyou....

The smallest part of a compound that still has the properties of that compound is a(n)
A.
nucleus.
B.
molecule.
C.
orbital.
D.
mixture.

Answers

A molecule is the smallest part of a compound. So, B. Would be your answer.

Hope I helped!

Final answer:

In chemistry, the smallest part of a compound which still demonstrates the properties of that compound is a molecule.

Explanation:

The smallest part of a compound that still has the properties of that compound is a molecule. A molecule is a group of atoms bonded together, representing the smallest unit of a chemical compound that can take part in a chemical reaction. Each molecule has its own unique properties, which are determined by the arrangement and type of atoms within the molecule.

For example, water (H2O) is a compound made up of two hydrogen atoms bonded to one oxygen atom. The smallest part of water that still has the properties of water is a single water molecule.

Therefore, the correct answer is molecule.

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Which mutation in a fruit fly could be passed on its offspring?

(1) a mutation in a cell of an eye that changes the color of the eye

(2) a mutation in a leg cell that causes the leg to be shorter

(3) a mutation in a sperm fell that changes the shape of the wing

(4) a mutation in a cell of the digestive tract that produces a different enzyme

note ; please explain why your answer is correct

Answers

Only mutations in reproductive cells can be inherited. Therefore, a mutation in a sperm cell that changes the shape of the wing is the one that could be passed on to the offspring.

Mutations in fruit flies can affect various traits, but not all mutations can be passed on to the next generation. The key to determining which mutation can be inherited lies in understanding the difference between somatic cells and germ cells. Somatic cells make up most of the body and include cells in the eyes, legs, and digestive tract, as mentioned in the options provided. In contrast, germ cells are the reproductive cells (sperm and eggs) that are involved in passing genetic information to offspring.

Out of the given options, only the mutation in a sperm cell that changes the shape of the wing (option 3) can be passed on to the offspring. This is because sperm cells contribute to the formation of the next generation, and any mutations they carry can be inherited if they lead to fertilization. Mutations in somatic cells such as those in the eyes, legs, or digestive tract (options 1, 2, and 4) are not passed on to offspring because they do not affect the germ line.

Compare and contrast the processes of mitosis and meiosis.

Part A. Describe two processes that occur in both mitosis and meiosis.

Part B. Think about the cells at the outcome of both processes. How are they different? Explain at least two differences.

Answers

Part A:  

1. Both the processes of meiosis and mitosis are the kinds of cell division in which one cell forms or produces more than one cell, that is, both follow duplications of chromosomes.  

2. Both the procedures include dissociation of the nuclear membrane, and both require spindle fibers to move the chromosomes around.  

Part B:  

1. Mitosis comprises one stage while meiosis comprises two stages. Mitosis produces diploid cells, while on the other hand, meiosis generates haploid cells.  

2. Mitosis gives rise to two similar daughter cells, while meiosis gives rise to four genetically similar daughter cells.  


The total magnification of a specimen viewed under a compound light microscope is determined by

Answers

multiplying the power of the objective lens times the power of the ocular lens.

what best describes transduction in bacteria

Answers

gmcorchado. Bacteria transferring DNA with a bacteriophage and bacteria taking DNA from their environment both best describe transduction in bacteria.

Hopefully this helped hun!Have a good day!!!

Which of these animals undergo complete metamorphosis?
A. Praying Mantis
B. Moth
C. Termite
D.Grasshopper

Answers

I think the closest and most understandable answer would be moth

Answer:

The animal that undergoes complete metamorphosis would be the Moth

Explanation:

Could i get brainly ?

What would be a valid conclusion to draw from this data? A) All methods are effective in killing bacteria. B) Both soap brands out perform hand sanitizer in killing bacteria. C) Warm water is as effective as soap or sanitizer in killing bacteria. D) Hand sanitizer is more effective than either soap in killing bacteria.

Answers

Answer:

B) Both soap brands out perform hand sanitizer in killing bacteria.

Looking at the data, the conclusion is pretty obvious, the two different types of soap resulted in about half the bacteria cultures as either the hand sanitizer, or just using warm water. In fact, the hand sanitizer looks like it's even worse than simply using warm water. So looking at the four available options, the best choice is "B) Both soap brands out perform hand sanitizer in killing bacteria."

Explanation:

An object's _____ is known if a reference point is known along with a direction and distance from the reference point.
A. speed
B. velocity
C. position
D. acceleration

Answers

It should be B) Enjoy

Velocity is your answer

how did world war 2 change marine science

Answers

When soldiers would go into underwater vessels they would see different species that we didn't know existed. After the war, scientists started researching these creatures.

World War II facilitated advances in marine science through the development of technologies for submarine detection, which post-war contributed to the growth of oceanography departments, national labs, and the acceptance of seafloor spreading.

World War II significantly altered the course of marine science by stimulating the development of technologies that were later pivotal in studying the ocean depths and understanding geological phenomena like seafloor spreading. The urgent military need to detect submarines led to advancements in oceanic research, resulting in expanded studies and an enhanced understanding of the ocean's properties. These developments fueled the growth of oceanography as a science, with the establishment of oceanography departments at universities and the founding of national ocean laboratories. The technologies forged in this crucible of war—ranging from sonar to deeper-diving submarines—provided researchers after the war with new tools to explore and comprehend the planet's underwater landscape, ultimately contributing to the acceptance of theories like plate tectonics.

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