Kuest AI

Study anything, free

Start free

Study geometry 10x faster with AI

Work through proofs, triangles, circles and transformations with a tutor that helps you see the shape before you reach for a formula.

4.87on iOS13,917,000+students already study with Kuest

topics
10
Course
High school Geometry
Typical grade
9th–10th grade
Leads to
Algebra II, Precalculus

See how Kuest teaches it

It asks before it tells, so you do the thinking and it sticks.

You: A right triangle has legs of 5 and 12. How long is the hypotenuse?
Kuest: The Pythagorean theorem links the three sides of a right triangle. Do you remember how it relates the legs a and b to the hypotenuse c?
You: Add the legs? 5 + 12 = 17.
Kuest: Close, but it's the squares of the legs that add up: a² + b² = c². What are 5² and 12²?
You: 25 and 144. That's 169, and √169 = 13.
Kuest: 13. It also makes sense: the hypotenuse is longer than either leg but shorter than their sum.

In a right triangle, a² + b² = c²: square the legs, add, then take the square root.

Students who lock in with Kuest

students
13,917,000+
App Store rating
4.87
countries
100+
  • From a C to an A in chem

    “I stopped copying answers and started actually getting it. My chem grade went from a C to an A in one semester.”

    Junior, Texas
  • 3 hours → 40 minutes

    “My notes turn into a quiz in seconds. What used to take me all night now takes one episode of a show.”

    Sophomore, California
  • Finally ready for the SAT

    “The plan told me exactly what to do each day. I walked in calm for the first time ever.”

    Senior, New York
  • It never lets me skip a step

    “Annoying at first, lifesaver on test day. I could do every problem without it.”

    Freshman, Ohio
  • Better than my tutor

    “It's there at midnight, it's patient, and it costs less than one session with my old tutor.”

    College freshman, Florida
  • My streak is at 94 days

    “The quests are ten minutes. I do them on the bus. Somehow I'm now the one explaining bio to my friends.”

    Junior, Illinois
  • Spanish finally clicked

    “Talking out loud with the tutor fixed my pronunciation faster than a whole year of class.”

    Sophomore, Arizona
  • Found my gaps in one night

    “The gap check showed me I'd never understood moles. Fixed it in 15 minutes.”

    Junior, Georgia
  • Parent here: no more 9pm meltdowns

    “My son gets real help without me pretending I remember calculus, and I can see his progress every week.”

    Parent, Washington

The method

How to study Geometry with Kuest

Geometry rewards drawing the figure and marking what you know before you calculate anything. Proofs get easier once the core theorems are automatic, so review them often and practice justifying every step out loud or in writing.

  1. Snap the problem and diagramSnap a photo

    Photograph the figure from your worksheet and start by listing the given angles, sides and markings with Kuest.

  2. Draw it on the boardTeaching board

    Use the teaching board to sketch the figure, add auxiliary lines and see why a theorem applies.

  3. Work on the coordinate planeGraphs

    Graph reflections, rotations, slopes and distances so transformations and coordinate proofs make visual sense.

  4. Lock in theorems and formulasFlashcards

    Turn congruence shortcuts, angle relationships and area and volume formulas into flashcards with spaced review.

  5. Build proofs line by lineTutor chat

    Write each statement yourself and ask Kuest whether your reason holds, so you learn which theorem fits where.

  6. Take a mock examMock exams

    Before your unit test or end-of-course exam, take a timed mock exam and review every miss.

What you'll cover

Tap a topic to learn it now.

  1. 01Points, lines and anglesUse angle pairs, parallel lines and transversals to find missing angles.
  2. 02TransformationsTranslate, reflect, rotate and dilate figures on the coordinate plane.
  3. 03Congruent trianglesProve triangles congruent with SSS, SAS, ASA, AAS and HL.
  4. 04ProofsWrite two-column and paragraph proofs with a reason for each step.
  5. 05SimilarityUse scale factors and similar triangles to find unknown lengths.
  6. 06Right triangles and the Pythagorean theoremFind missing sides and spot common Pythagorean triples.
  7. 07Right-triangle trigonometryUse sine, cosine and tangent to solve for sides and angles.
  8. 08CirclesWork with arcs, chords, tangents, inscribed angles and circle equations.
  9. 09Area and volumeFind area, surface area and volume of 2D and 3D figures.
  10. 10Coordinate geometryUse distance, midpoint and slope to prove facts about shapes.

Try asking

Tap a question and Kuest starts teaching it, step by step.

Helps you prepare for

  • Geometry end-of-course exams
  • Regents Geometry
  • SAT Math
  • ACT Math

A month of Kuest costs less than one hour with a tutor

Same patience, any hour, every subject. Or stay on the free plan for good.

Private tutor

$40–80for one hour

  • Booked days in advance
  • One subject per session
  • Stops when the hour ends

Kuest Plus

$10a month, billed yearly

  • Every subject and exam on this site
  • Any hour, as long as you need
  • Quizzes, flashcards, podcasts and mock exams

Study on any device

Phone, tablet or laptop. Your chats, plans and flashcards come with you.

Questions, answered

Your next study session starts here

Free forever plan. No card needed.

Start free