adjacent
US /əˈdʒesənt/
UK /əˈdʒeɪsnt/
- Adjective
- Being close or near to a border, wall, or point
- (In geometry) having a common vertex and side.
B1Morealgebra
US /ˈældʒəbrə/
UK /ˈældʒɪbrə/
- Uncountable Noun
- Math using letters or symbols in place of numbers
C1Morealong with
US /əˈlɔŋ wɪð/
UK /əˈlɔŋ wið/
- Preposition
- In addition to; together with.
- Adverb
- In company or together with someone or something.
- Including; in addition to.
A2Moreangle
US /ˈæŋɡəl/
UK /ˈæŋgl/
- Noun
- Place where two lines or surfaces meet
B1TOEICMorearc
US /ɑrk/
UK /ɑ:k/
- Noun
- Smoothly curving line or movement
- Intransitive Verb
- To bend in a smooth curve
B2Moreas long as
US /æz lɔŋ æz/
UK /æz lɔŋ æz/
- Conjunction
- For the period that; provided that.
- For the length of time that
- Preposition
- On the condition that; providing that.
- Having the same length as.
A1Morebrilliant
US /ˈbrɪljənt/
UK /'brɪlɪənt/
- Adjective
- Having a great amount of intelligence or talent
- Being very bright, like a diamond; shining
- Noun
- A diamond or other gem cut in a particular form with many facets to have exceptional brilliance.
A2Morecapital
US /ˈkæpɪtl/
UK /'kæpɪtl/
- Noun
- Writing the first letter of a word in big letters
- Official main city of a country, province or state
- Adjective
- Main, or major
- (Of an offense) liable to the death penalty.
A2Morecare of
US /kɛr ʌv/
UK /kɛə ɔv/
- Preposition
- Used in an address to indicate the person who will receive the mail for someone else.
A2Morecheck out
US /tʃɛk aʊt/
UK /tʃek aut/
- Phrase
- Phrasal Verb
- To find out information about something
- To take books out of a library
A1Morechuck
US /tʃʌk/
UK /tʃʌk/
- Transitive Verb
- To throw carelessly or casually
- Proper Noun
- Person's name
B2Morecircumference
US /sərˈkʌmfərəns/
UK /səˈkʌmfərəns/
- Noun
- Length around an outer boundary, e.g. a circle
C1Morecontent
US /ˈkɑnˌtɛnt/
UK /'kɒntent/
- Adjective
- Being happy or satisfied
- In a state of peaceful happiness.
- Noun (Countable/Uncountable)
- Information in something, e.g. book or computer
- The subject matter of a book, speech, etc.
A2Morecontrary
US /ˈkɑnˌtrɛri/
UK /'kɒntrərɪ/
- Adjective
- (Of weather) difficult; likely to cause trouble
- Going against authority, a parent, or the rules
- Adverb
- In opposition to.
B1Morecontrary to
US /ˈkɑnˌtrɛri tu/
UK /ˈkɔntrəri tu:/
- Preposition
- In opposition to; against.
- Differing from; not in agreement with.
A1Moreconversion
US /kənˈvɜ:rʒn/
UK /kənˈvɜ:ʃn/
- Noun
- Switch from one thing (e.g. religion) to another
- Means of scoring additional points in rugby
B1Morecoordinate
US /ko'ɔrdəˈnet/
UK /kəʊ'ɔ:dɪneɪt/
- Transitive Verb
- To match styles or colors that go well together
- To cause body parts to move smoothly together
- Noun
- Point on a map defining a location e.g. 135N, 34W
- A matching set of clothes.
B1Moredeal with
US /dil wɪð/
UK /di:l wið/
- Verb (Transitive/Intransitive)
- To buy or sell goods or services.
- Phrasal Verb
- To take action to solve a problem or manage a situation.
- To be about; concern.
A1Moredecent
US /ˈdisənt/
UK /ˈdi:snt/
- Adjective
- Being fairly good; acceptable
- Conforming to conventionally accepted standards of behaviour; respectable or moral.
B1Moredefine
US /dɪˈfaɪn/
UK /dɪ'faɪn/
- Transitive Verb
- To explain the meaning of words
- To set or mark the limits of something
A2TOEICMoredegree
US /dɪˈɡri/
UK /dɪˈgri:/
- Noun (Countable/Uncountable)
- Amount or extent of something
- Unit for measuring temperature or angles
A2TOEICMoredepending on
US
UK
- Phrasal Verb
- To rely on for support (financial or emotional)
- Influenced or determined by.
- Preposition
- Subject to; contingent on
- Relying on someone or something for support or assistance.
A2Moredivide
US /dɪˈvaɪd/
UK /dɪ'vaɪd/
- Verb (Transitive/Intransitive)
- To split numbers by another number, e.g. 6 / 2 = 3
- To separate something into equal pieces
- Noun
- A separation or distinction.
A2TOEICMoreeliminate
US /ɪˈlɪməˌnet/
UK /ɪ'lɪmɪneɪt/
- Transitive Verb
- To completely remove; to get rid of
- To remove from a contest by beating them
B1TOEICMoreequation
US /ɪˈkweʒən, -ʃən/
UK /ɪˈkweɪʒn/
- Noun (Countable/Uncountable)
- Mathematical statement showing things to be equal
- Complex set of different facts, ideas or issues
B1Morefor example
US
UK
- Phrase
- As an illustration or instance.
function
US /ˈfʌŋkʃən/
UK /'fʌŋkʃn/
- Noun
- Social event, or party such as a wedding
- Mathematical operation used in calculations
- Intransitive Verb
- To serve a certain purpose or role
- To be operating, working or achieving its purpose
A2TOEICMoregeometric
US /ˌdʒiəˈmɛtrɪk/
UK /ˌdʒi:əˈmetrɪk/
- Adjective
- With regular mathematical patterns/straight lines
B2Moregeometry
US /dʒiˈɑ:mətri/
UK /dʒiˈɒmətri/
- Uncountable Noun
- Mathematical study of shapes, surfaces, and space
- Mathematical shape of something
B2Morego back to
US /ɡo bæk tu/
UK /ɡəu bæk tu:/
- Phrasal Verb
- To return to a starting point
A1Moregradient
US /ˈɡrediənt/
UK /ˈgreɪdiənt/
- Noun
- A measure of how steep something is
B2Morehang on
US /hæŋ ɑn/
UK /hæŋ ɔn/
- Phrasal Verb
- To wait for the person you phoned to answer
- To persevere or persist, especially in a difficult situation.
A2Morehave to
US /hæv tu/
UK /ˈhæv tə/
- Auxiliary Verb
- Must do
A1Morehypotenuse
US /haɪˈpɑtn:ˌus, -ˌjus/
UK /haɪˈpɒtənju:z/
- Noun
- Side of a right triangle opposite the right angle
C2Moreidentity
US /aɪˈdɛntɪti/
UK /aɪ'dentətɪ/
- Noun (Countable/Uncountable)
- Collection of qualities that makes a person
- Who someone is; the name of a person
B1Morein order to
US /ɪn ˈɔrdɚ tu/
UK /in ˈɔ:də tu:/
- Preposition
- For the purpose of; with the aim of.
- Phrase
- In a specific sequence or arrangement.
- With the aim of; for the purpose of.
C1Moreinverse
US / ˈɪnˌvə:s/
UK /ɪnˈvɜ:s /
- Adjective
- Being the opposite of something else
- Noun
- Thing that is the complete opposite of another
B2Moreinvolve
US /ɪnˈvɑlv/
UK /ɪn'vɒlv/
- Transitive Verb
- To have or be included as a part of something
- To cause (a person or group) to take part in an event or activity.
A2TOEICMoreleisure
US /ˈli:ʒər/
UK /ˈleʒə(r)/
- Uncountable Noun
- Time when you have no work to do and can relax
- Activities done for enjoyment during one's free time.
- Adjective
- Relating to or used for relaxation and enjoyment.
B1TOEICMoreliterally
US /ˈlɪtərəli/
UK
- Adverb
- In a literal manner or sense; exactly as stated.
- Used for emphasis to describe something that is actually true, often to highlight surprise or intensity.
B1Morelook at
US /lʊk æt/
UK /luk æt/
- Phrasal Verb
- To use your eyes to focus on something
- To focus your eyes on something carefully
A1Moremove on
US /muv ɑn/
UK /mu:v ɔn/
- Phrasal Verb
- To decide to change or go to a different place
- To start talking about something different.
A1Moremultiply
US /ˈmʌltəˌplaɪ/
UK /ˈmʌltɪplaɪ/
- Verb (Transitive/Intransitive)
- To increase in number by reproducing/having babies
- To increase something by a large quantity
B1Moreno matter
US
UK
- Conjunction
- Regardless of; it does not matter.
- Adverb
- Regardless of; it is not important
A1Moreof course
US /ʌv kɔː(r)s/
UK /ɔv kɔː(r)s/
- Adverb
- Sure ; Certainly
- Phrase
- For sure; certainly
A2Moreon the line
US /ɑn ði laɪn/
UK /ɔn ðə lain/
- Phrase
- At risk; in a situation where something could be lost.
- Having a great deal of responsibility.
A1Moreon to
US /ɑn tu/
UK /ɔn tu:/
- Preposition
- Toward something; forward
- Aware of someone's activities.
- Adjective
- Aware of someone's deception or illegal activities.
A1Moreoriginal
US /əˈrɪdʒənəl/
UK /ə'rɪdʒənl/
- Adjective
- Being first made, thought or performed; fresh
- Being unique or thinking differently from others
- Noun (Countable/Uncountable)
- A work of art, writing, or music that is not a copy.
- A person of fresh initiative or inventiveness.
A2TOEICMorepi
US /paɪ/
UK /paɪ/
- Noun
- The ratio of the circumference to the diameter
B2Morepositive
US /ˈpɑzɪtɪv/
UK /ˈpɒzətɪv/
- Adjective
- Showing agreement or support for something
- Being sure about something; knowing the truth
- Noun
- A photograph in which light areas are light and dark areas are dark
A2Morepractically
US /ˈpræktɪkli/
UK /ˈpræktɪkli/
- Adverb
- Nearly, almost, or in effect
- In a practical manner; realistically.
C1Morepromote
US /prəˈmoʊt/
UK /prəˈməʊt/
- Transitive Verb
- To try to encourage popularity/sales of a product
- To move someone to a higher position or rank
A2TOEICMorequantity
US /ˈkwɑntɪti/
UK /ˈkwɒntəti/
- Noun (Countable/Uncountable)
- A large amount of something
- Amount or number of something
A2TOEICMoreradius
US /ˈrediəs/
UK /ˈreɪdiəs/
- Noun (Countable/Uncountable)
- Area around a certain point
- Countable Noun
- Long bone on the thumb side of your lower arm
- Line from the center to the edge of a circle
B2Morereddit
US
UK
- Proper Noun
- Reddit is an American social news aggregation, content rating, and discussion website.
B2Moreroot
US /rut, rʊt/
UK /ru:t/
- Noun (Countable/Uncountable)
- Emotional connection with a place, history etc.
- The origin or starting place of something
- Transitive Verb
- To cause a plant to develop or grow roots
- (Animals) to search for e.g. food in earth
A2Moreroughly
US /ˈrʌflɪ/
UK /ˈrʌfli/
- Adverb
- Approximately; (of numbers) about; around
- In a manner that is violent or not careful
B1Morescience
US /ˈsaɪəns/
UK /'saɪəns/
- Uncountable Noun
- Study of the physical world, based on facts
A2TOEICMorescroll
US /skroʊl/
UK /skrəʊl/
- Intransitive Verb
- To move up and down a computer screen
- Verb (Transitive/Intransitive)
- To move up, down, or across a computer screen
B2Moresine
US /saɪn/
UK /saɪn/
- Noun
- Angle's ratio of side opposite hypotenuse
C1Moresquare
US /skwɛr/
UK /skweə(r)/
- Noun (Countable/Uncountable)
- Shape with 4 equal length sides and 4 equal angles
- The result of multiplying Length by the width
- Adjective
- Being fair or honest
- Multiply a number by itself e.g. 2x2 or 6x6
A2TOEICMoresubscription
US /səbˈskrɪpʃən/
UK /səbˈskrɪpʃn/
- Noun (Countable/Uncountable)
- Regular payment for a service, magazine etc.
B1TOEICMoresubtract
US /səbˈtrækt/
UK /səbˈtrækt/
- Transitive Verb
- To take away a value or amount from another
- To take away a value or amount from another
B2TOEICMoretan
US /tæn/
UK /tæn/
- Noun (Countable/Uncountable)
- A light brown color
- Brown colored skin from being in the sun
- Transitive Verb
- To process leather with a tanning agent
B2Moretangent
US /ˈtændʒənt/
UK /ˈtændʒənt/
- Noun
- Line or curve meeting another line or curve
- In trigonometry, the ratio of the length of the side opposite the acute angle to the length of the adjacent side in a right-angled triangle.
- Adjective
- Line of thought that is not related
C1Moretheorem
US /ˈθiərəm, ˈθɪrəm/
UK /ˈθɪərəm/
- Noun
- A statement that can be proved
B2Moretheta
US /ˈθetə, ˈθi-/
UK /ˈθi:tə/
- Noun
- 8th letter of the Greek alphabet
C1Moreto do with
US
UK
- Phrasal Verb
- To be about something; concern
A1Moreto the power of
US /tu ðə ˈpaʊɚ əv/
UK /tu ðə ˈpaʊə əv/
- other
- Indicating exponentiation in math; repeated multiplication.
B2Moretriangle
US /ˈtraɪˌæŋɡəl/
UK /ˈtraɪæŋgl/
- Noun
- Three people connected with each in a relationship
- A three-sided piece of metal used in orchestras
B1TOEICMoreunit
US /ˈjunɪt/
UK /ˈju:nɪt/
- Countable Noun
- One apartment in a building
- Group of people, e.g. soldiers, that work together
B2TOEICMorewith it
US /wɪð ɪt/
UK /wið it/
- Adjective
- Intelligent, alert, and up-to-date.
- Understanding and knowledgeable about current trends or information.
A1Morework out
US /wɚk aʊt/
UK /wə:k aut/
- Phrasal Verb
- To find a way to do something, by thinking
A1More
Vocabulary
- have to: Must do
- to do with: To be about something; concern
- look at: To use your eyes to focus on something
- for example: As an illustration or instance.
- as long as: For the period that; provided that.
- care of: Used in an address to indicate the person who will receive the mail for someone else.
- hang on: To wait for the person you phoned to answer
- contrary to: In opposition to; against.
- work out
- depending on: To rely on for support (financial or emotional)
- with it: Intelligent, alert, and up-to-date.
- on the line: At risk; in a situation where something could be lost.
- in order to: For the purpose of; with the aim of.
- along with: In addition to; together with.
- deal with
- to the power of: Indicating exponentiation in math; repeated multiplication.
- no matter: Regardless of; it does not matter.
- go back to: To return to a starting point
- on to: Toward something; forward
- move on: To decide to change or go to a different place
- of course: Sure ; Certainly
- check out
- literally: In a literal manner or sense; exactly as stated.
- decent: Being fairly good; acceptable
- content: Being happy or satisfied
- eliminate: To completely remove; to get rid of
- term: Conditions applying to an agreement, contract
- positive: Showing agreement or support for something
- brilliant: Having a great amount of intelligence or talent
- amount: Quantity of something
- roughly: Approximately; (of numbers) about; around
- imagine: To think creatively about; form mental picture of
- divide: To split numbers by another number, e.g. 6 / 2 = 3
- function: Social event, or party such as a wedding
- brain: To strike someone forcefully on the head
- capital: Writing the first letter of a word in big letters
- practically: Nearly, almost, or in effect
- explain: To make clear or easy to understand by describing
- simply: In an easy or clear manner
- contrary: (Of weather) difficult; likely to cause trouble
- form: Sports team or person's current winning record
- define: To explain the meaning of words
- apply: To spread a substance or liquid over a surface
- involve: To have or be included as a part of something
- identity: Collection of qualities that makes a person
- pretty: Being attractive to the eye in a simple way
- coordinate: To match styles or colors that go well together
- equal: Same in shape, size, or number
- degree: Amount or extent of something
- break: To create a new record e.g. running the 100m dash
- equation: Mathematical statement showing things to be equal
- quantity: A large amount of something
- scroll: To move up and down a computer screen
- promote: To try to encourage popularity/sales of a product
- root: Emotional connection with a place, history etc.
- square: Shape with 4 equal length sides and 4 equal angles
- original: Being first made, thought or performed; fresh
- leisure: Time when you have no work to do and can relax
- important: Having power or authority
- science: Study of the physical world, based on facts
- sign: Indication that something exists or will happen
- order: Religious or social group, as of nuns
- learn: To get knowledge or skills by study or experience
- multiply: To increase in number by reproducing/having babies
- subtract: To take away a value or amount from another
- tan: A light brown color
- algebra: Math using letters or symbols in place of numbers
- adjacent: Being close or near to a border, wall, or point
- subscription: Regular payment for a service, magazine etc.
- chuck: To throw carelessly or casually
- angle: Place where two lines or surfaces meet
- unit: One apartment in a building
- geometry: Mathematical study of shapes, surfaces, and space
- conversion: Switch from one thing (e.g. religion) to another
- tangent: Line or curve meeting another line or curve
- radius: Area around a certain point
- circumference: Length around an outer boundary, e.g. a circle
- gradient: A measure of how steep something is
- arc: Smoothly curving line or movement
- triangle: Three people connected with each in a relationship
- geometric: With regular mathematical patterns/straight lines
- inverse: Being the opposite of something else
- hypotenuse: Side of a right triangle opposite the right angle
- theorem: A statement that can be proved
- reddit: Reddit is an American social news aggregation, content rating, and discussion website.
- theta: 8th letter of the Greek alphabet
- sine: Angle's ratio of side opposite hypotenuse
- pi: The ratio of the circumference to the diameter
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01:03
She took a brave step forward, leaving behind her comfort zone to chase her dreams.
Vocabulary
- brave
adj. Having courage
- comfort zone
phr. A familiar situation where one feels safe
Explanation
a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step".
forward is an adverb modifying step, meaning "ahead".
The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.
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brave
US/brev/
UK/breɪv/
adj.Brave
v.t.To bravely face
A2 Elementary
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Jasmine Chen cc posted on 2026/07/06Ever felt lost in the world of trigonometry? This super-fast 12-minute video breaks down everything from right angle triangles and the Pythagorean theorem to the unit circle and the laws of sines and cosines! You'll pick up key terms like 'hypotenuse,' 'adjacent,' and 'opposite' and finally understand how these concepts connect.
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