Geometry Concepts

noun a region or part of a town, a country, or the world

adjective relating to a particular subject or group of people

• The local government is planning to develop the area into a commercial district.
• Let's meet at the shopping area later.
• This area is lit, we should hang out here more often.
• The area of expertise for the team is in marketing strategies.

noun The outer boundary of a circular area; the perimeter of a circle

• The circumference of a circle is equal to the diameter times pi.
• To find the circumference, just double the radius and multiply by pi.
• The circumference is like the outer edge of a circle, dude.
• She felt like she was walking in circles, never getting closer to the circumference of her dreams.

noun the state or quality of being in agreement or harmony

adjective congruent; in agreement or harmony

• The congruence of the two shapes was evident in the geometry problem.
• The congruence between their opinions made the decision easier.
• Their outfits were on point, showing congruence in their fashion sense.
• The congruence of their goals led to a successful partnership.

noun a geometric figure that can be superimposed on another to coincide with it

adjective agreeing or accordant; congruous

• The two triangles are congruent, meaning they have the same size and shape.
• Those two shapes look exactly the same, they must be congruent.
• These two things are like twins, totally congruent.
• Their beliefs were congruent, aligning perfectly with each other.

noun a picture or diagram made with a pencil, pen, or crayon

verb the act of producing a picture or diagram with a pencil, pen, or crayon

• The artist spent hours working on a detailed drawing of the landscape.
• I love doodling and drawing in my free time.
• She's a pro at sketching and drawing cool designs.
• His words were like a masterful drawing, painting a vivid picture in our minds.

adjective a word that describes or modifies a noun or pronoun, in this case 'elongated' describes something that has been lengthened or stretched out

• The elongated shape of the building made it stand out among the rest of the structures in the city.
• Her elongated fingers made it easy for her to reach the top shelf without any help.
• I can't believe how elongated his story became after he kept adding more details to it.
• The elongated wait for the results felt like an eternity to the anxious students.

noun a linear transformation that preserves the dot product of vectors

adjective relating to or involving right angles; perpendicular

• In mathematics, two vectors are orthogonal if their dot product is zero.
• The two lines are orthogonal to each other, meaning they intersect at right angles.
• I don't get why they're making us learn about orthogonal matrices in class.
• His views on politics are completely orthogonal to mine, we never seem to agree on anything.

noun an airplane or similar aircraft

• The plane experienced some turbulence during the flight.
• I always get nervous before getting on a plane.
• Let's catch a plane to Vegas for the weekend!
• Her career is really taking off like a plane.

noun a sharp or tapered end of something

verb to indicate or direct attention to something with a finger or object

• The data points to a clear correlation between the two variables.
• All the evidence points to him being the one who did it.
• The clues all point to her being the culprit.
• His compass always points to true north, guiding him in the right direction.

noun a purpose or aim

verb to score points in a game or competition

adjective significant or important

adverb exactly or precisely

preposition at or to a particular place or position

conjunction used to introduce a further statement or reason

interjection used to emphasize a point

• At this point in time, we need to make a decision.
• I'm not sure what the point of this meeting is.
• Why are we even doing this? What's the point?
• She made a good point during the debate.

verb to spread out or apart in a way that creates a wide angle

adjective spread out or apart in a way that creates a wide angle

• The branches of the tree splay outwards, creating a wide canopy.
• She splayed out on the couch after a long day at work.
• I accidentally splayed my phone on the pavement and cracked the screen.
• His emotions splayed across his face, making it clear how he truly felt.

noun a completely different line of thought or action

• In mathematics, a tangent is a straight line that touches a curve at a single point without crossing it.
• I went off on a tangent during the meeting and started talking about my vacation plans.
• I was on a tangent about my favorite TV show and couldn't stop talking about it.
• The conversation took a tangent when we started discussing politics instead of the original topic.

noun a term used in some Asian languages to refer to a unit of length, typically equal to about 3.77 centimeters

• The length of the bridge is 300 meters.
• I can't believe the length of the movie, it felt like it would never end.
• Check out the leng on that car, it's so sleek.
• The length of her patience was wearing thin as the meeting dragged on.

noun A set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, representing the sides of a right triangle

adjective Describing a set of three integers that satisfy the Pythagorean theorem

• A Pythagorean triple consists of three positive integers a, b, and c, such that a^2 + b^2 = c^2.
• Hey, did you know that 3, 4, 5 is a Pythagorean triple?
• Yo, check out this sick Pythagorean triple I just found: 5, 12, 13!
• In life, sometimes finding the right balance is like discovering a Pythagorean triple - everything just fits together perfectly.

noun a subject of study that involves the use of numbers, quantities, and shapes to solve problems

• The study of math is essential for understanding complex scientific theories.
• I struggle with math homework because I find it challenging.
• I aced my math test, I'm a math genius!
• Life is like a math problem, you need to solve it step by step to reach the answer.

noun a form of paper art that involves cutting and folding paper to create intricate designs

• The art of kirigami involves intricate paper cutting to create beautiful designs.
• I tried my hand at kirigami and ended up with a pretty cool paper snowflake.
• Kirigami is like origami, but with scissors involved.
• Her mind was a complex web of thoughts, much like a kirigami masterpiece.

noun a term used in mathematics to refer to the x-coordinate of a point on a graph or coordinate plane

• The abscissa represents the horizontal position of a point on a graph.
• The abscissa is just the x-coordinate on the graph.
• Forget about the abscissa, just focus on where it is on the x-axis.
• In life, the abscissa can symbolize our starting point or origin.

noun the horizontal coordinate in a two-dimensional Cartesian coordinate system

• The abscissas represent the horizontal coordinates of points on a graph.
• You just need to plot the abscissas along the x-axis.
• Make sure you don't mix up the abscissas with the ordinates.
• The abscissas of success are hard work and determination.

adjective relating to or characteristic of the Greek mathematician Diophantus of Alexandria, known for his work on algebraic equations

• The acleidian geometry is a branch of geometry that does not include the parallel postulate.
• I'm struggling to understand acleidian geometry in my math class.
• Acleidian stuff is so confusing, I can't wrap my head around it.
• Her mind works in an acleidian way, always finding unique solutions to problems.

noun A mathematical term referring to the point that divides a line segment into two equal parts

adjective Describing something related to the midpoint or central point of a line segment

• The admedian of a triangle is a line segment that connects a vertex to the midpoint of the opposite side.
• I learned in math class that the admedian of a triangle is pretty important.
• Dude, the admedian thing in geometry is like mind-blowing!
• Just like the admedian balances out a triangle, finding balance in life is key.