QuizeGeometry Solver with Steps
A free AI geometry solver that reads the diagram. Snap a picture of any angle, triangle, circle or proof problem, and see every step and the theorem behind it. Then solve the next one yourself.
- 10free answers a day
- Everytheorem named
- Proofsstep by step
Updated
Solve a geometry question
Type it, paste it, or upload a photo. You get the answer, every step, and the idea behind it.
What is a geometry solver?
A geometry solver works out geometry problems and explains each step. QuizeGpt is an AI geometry solver that goes further: it reads the marks in your diagram, names the theorem behind every step, and writes proofs line by line. You learn why the answer is true, not just what it is.
- Type a problem, paste a screenshot, or snap a picture with the diagram.
- Get the answer with each step and theorem, in plain words.
- Ask a follow-up if a step doesn't make sense.
What the geometry problem solver can do
From angle pairs to proofs and volume, here's what this geometry homework solver handles, and how it explains each one.
| Geometry topic | What you get |
|---|---|
| Angles and lines | Vertical, supplementary and complementary angles, plus parallel lines cut by a transversal. |
| Triangles | Angle sum, exterior angles, isosceles and equilateral triangles, and the triangle inequality. |
| Congruence and similarity | Picks SSS, SAS, ASA, AAS or HL, and sets up proportions for similar triangles. |
| Pythagorean theorem and trig | Missing sides, special right triangles, and sine, cosine and tangent. |
| Proofs | Two-column proofs with a reason for every statement. |
| Area and perimeter | Triangles, rectangles, trapezoids, polygons and composite shapes. |
| Circles | Circumference, area, arcs, chords, tangents and inscribed angles. |
| Volume and surface area | Prisms, cylinders, cones, pyramids and spheres, with cubic units. |
| Coordinate geometry | Distance, midpoint, slope, and equations of lines and circles. |
Geometry solver with steps: worked examples
This is what you get. Each step names the theorem and keeps the units.
Two angles of a triangle are 47° and 68°. Find the third angle.
- The angles of a triangle add to 180°.
- 47° + 68° = 115°.
- 180° − 115° = 65°.
Answer: 65°
Two parallel lines are cut by a transversal. One angle is 115°. Find its same-side interior angle.
- Same-side interior angles between parallel lines are supplementary.
- So they add to 180°.
- 180° − 115° = 65°.
Answer: 65°
A circle has a radius of 5 cm. Find its area.
- Area of a circle: A = πr².
- A = π × 5² = 25π.
- 25 × 3.1416 ≈ 78.54.
Answer: 25π ≈ 78.54 cm²
A cylinder has a radius of 3 cm and a height of 10 cm. Find its volume.
- Volume of a cylinder: V = πr²h.
- V = π × 3² × 10 = 90π.
- 90 × 3.1416 ≈ 282.7.
Answer: 90π ≈ 282.7 cm³
Try it without signing in
Pick a sample problem, then drag a box over it to snap it, just like the Chrome extension does on your homework page.
A right triangle has legs 5 and 12. How long is the hypotenuse?
- 13
- 17
- 169
- 7
Drag a box over the question, just like in the extension. On a phone, tap it. Or press Snap & solve.
- a² + b² = c²
- 5² + 12² = 25 + 144 = 169
- c = √169 = 13
Two angles form a straight line. One is 125°. What is the other?
- 55°
- 65°
- 125°
- 235°
Drag a box over the question, just like in the extension. On a phone, tap it. Or press Snap & solve.
- Angles on a straight line add to 180°.
- 180° − 125°
- = 55°
A triangle has a base of 10 cm and a height of 6 cm. What is its area?
- 30 cm²
- 60 cm²
- 16 cm²
- 32 cm²
Drag a box over the question, just like in the extension. On a phone, tap it. Or press Snap & solve.
- Area of a triangle = ½ × base × height
- ½ × 10 × 6
- = 30 cm²
Sample questions with saved answers. The extension works on any question you snap. Want the full tour? Try the interactive demo.
Pythagorean theorem: see why a² + b² = c²
You've used a² + b² = c², but why is it true? Build a square on each side of a right triangle and count the little squares inside. Watch it on a 6-8-10 triangle.
a² + b² = c²
- The square on the side of length 6 holds 6 × 6 = 36 unit squares.
- The square on the side of length 8 holds 8 × 8 = 64.
- The square on the hypotenuse holds 10 × 10 = 100, and 36 + 64 = 100.
When you can use it
- Only on right triangles. Look for the 90° mark.
- c is always the longest side, across from the right angle.
Triples worth knowing
- 3-4-5, and its multiples like 6-8-10.
- 5-12-13 and 8-15-17.
Geometry proof solver: two-column proofs, step by step
Proofs feel hard because you have to explain why each step is true. A two-column proof makes it simple: each line gets a statement and a reason. Here's one, written the way QuizeGpt writes it.
Given: AB ≅ CB, and BD bisects ∠ABC.
Prove: △ABD ≅ △CBD
| # | Statement | Reason |
|---|---|---|
| 1 | AB ≅ CB | Given |
| 2 | BD bisects ∠ABC | Given |
| 3 | ∠ABD ≅ ∠CBD | Definition of an angle bisector |
| 4 | BD ≅ BD | Reflexive property |
| 5 | △ABD ≅ △CBD | SAS (side-angle-side) |
Which congruence shortcut?
- SSS, SAS, ASA and AAS prove two triangles congruent. HL works for right triangles.
- SSA and AAA don't. Two triangles can match those and still be different.
- Look for a shared side. It's free: the reflexive property says it's equal to itself.
Geometry solver from a picture: what it reads in your diagram
Snap a picture of the problem and QuizeGpt uses the marks in the diagram as facts. These are the ones it looks for, and the ones you should look for too.
Tick marks
Sides with the same number of ticks are equal.
Arcs
Angles with the same number of arcs are equal.
Arrows
Lines with matching arrows are parallel.
Square corner
A small square in a corner means 90°.
One rule: never trust how a diagram looks. Two sides that look equal aren't equal unless a mark or a given says so, because many diagrams aren't drawn to scale.
How to solve geometry problems, step by step
Whether you use a solver or not, this five-step method works on most geometry problems.
- Step 1
Mark up the diagram
Add what you know: equal sides, equal angles, parallel lines and right angles.
- Step 2
List what's given
Write the numbers and facts you have, and circle what you need to find.
- Step 3
Find the theorem
Look for the rule that links them, like the angle sum, SAS or a² + b² = c².
- Step 4
Write it and solve
Turn the rule into an equation, then solve it step by step.
- Step 5
Check the answer
Do the angles add up? Are the units right, like cm² for area?
How to check a geometry answer
Any tool can slip, and so can you. These quick checks catch most mistakes, and they're good habits for the test.
Do the angles add up?
A triangle's angles make 180°, a straight line 180°, and a full turn 360°.
Are the units right?
Length is cm, area is cm², and volume is cm³. Mixing them up costs points.
Does it fit the picture?
The hypotenuse should be the longest side, and an obtuse angle should be over 90°.
Common geometry mistakes to avoid
a² + b² = c² on any triangle
It only works on right triangles. For others, use the law of cosines.
Mixing up area and perimeter
Perimeter adds the sides. Area fills the inside, in square units.
Trusting the picture
Use only what's marked or given, not what just looks equal or parallel.
Using SSA in a proof
SSA doesn't prove triangles congruent. Look for SAS or ASA instead.
Geometry homework help on any page
The QuizeGpt Chrome extension is a geometry homework helper for the page you're on, from ALEKS and IXL to MathXL, Big Ideas Math and your textbook PDF. Press Ctrl/⌘+Shift+U, drag a box around the problem and its diagram, and the steps show up in a side panel.
✓ Great for
- Homework where help is allowed.
- ALEKS proofs and other learning topics.
- Review after you submit, before the test.
✕ Not for
- Tests and quizzes that count. Keep it closed.
- ALEKS Knowledge Checks and proctored exams.
Need to solve the equation a geometry problem turns into? Use the algebra solver. Moving on to trig and physics? Try the physics solver. Doing geometry online? See how QuizeGpt explains ALEKS geometry and proofs and IXL geometry skills. Test soon? Read why testing yourself works.
Is the geometry solver free?
Yes. You get 10 free answers a day. Upgrade only if you need more.
Plus
$7.99 / month
Billed monthly. Also $4.99 a week, $29.99 a semester, or $59.99 a year.
- Unlimited answers (fair use)
- Full step-by-step explanations
- Checked answers for harder questions
✓ Cancel anytime. 7-day money-back guarantee on your first payment.
Geometry help: QuizeGpt vs other tools
Thinking of other apps for geometry? Here's how they stack up.
QuizeGpt vs Quizlet
Quizlet helps you memorize. QuizeGpt explains any question you snap.
- Solves any question
- QuizeGpt: Yes — any page, PDF, or imageQuizlet: Limited
- Step-by-step help
- QuizeGpt: Yes, with confidence levelQuizlet: No
- Free plan
- QuizeGpt: Yes — 10 answers/dayQuizlet: Yes (with upsells)
QuizeGpt vs SnapGPT
Both snap a question. QuizeGpt is built to help you learn it.
- Shows how sure it is
- QuizeGpt: YesSnapGPT: Not highlighted
- Hints and why it's wrong
- QuizeGpt: YesSnapGPT: Varies
- Stays off graded tests
- QuizeGpt: Yes — by designSnapGPT: Not stated
QuizeGpt vs Chegg
Chegg has a big bank of answers. QuizeGpt explains your exact question in seconds.
- Speed
- QuizeGpt: SecondsChegg: Minutes to hours (expert Q&A)
- Works on any site
- QuizeGpt: YesChegg: No — its own site/app
- Free plan
- QuizeGpt: Yes — 10 answers/dayChegg: Limited / trial
Geometry solver FAQ
Is there a free AI geometry solver?
Yes. QuizeGpt is a free AI geometry solver with steps. You get 10 answers a day for free, each with every step and the theorem behind it. No card is needed.
Can it solve geometry from a picture?
Yes. Snap a photo or screenshot of the problem, diagram included. It reads the labels, tick marks, arcs and parallel arrows as part of the question. Get the whole diagram in the picture for the best result.
Can it do geometry proofs?
Yes. As a geometry proof solver, it writes two-column proofs with a statement and a reason on each line, and says which shortcut proves the triangles congruent, like SAS or ASA.
What geometry problems can it solve?
Angles, parallel lines, triangles, congruence and similarity, the Pythagorean theorem, trig, proofs, area, perimeter, circles, volume, surface area and coordinate geometry.
Does it name the theorems?
Yes. Every step says which theorem, postulate or property makes it true, like vertical angles, the triangle angle sum or the Pythagorean theorem.
Does it give exact answers?
Yes. It gives the exact answer with π or a square root, like 25π or 5√2, and a decimal when that helps. It also uses square units for area and cubic units for volume.
Does it work for ALEKS geometry and proofs?
Yes, for ALEKS learning topics, including proofs. Knowledge Checks are off limits. They tell ALEKS what you really know.
Will it do my geometry homework for me?
It shows you how to do each problem, step by step, and you write the answer in yourself. That way you can do the next one, and the test, on your own.
Can it do coordinate geometry?
Yes. It finds distance, midpoint and slope, writes equations of lines and circles, and explains each formula it uses.
How accurate are the answers?
Like any AI tool, it can slip, especially with a blurry diagram, so it shows every step for you to check. If a number is hard to read, type it in.
Can it help with my geometry homework?
Yes. It's a geometry homework helper that shows how to solve each problem. Use the steps to learn the pattern, then try the next one yourself. That's what helps on the test.
Can I use it on a geometry test?
No. Keep QuizeGpt closed on tests, quizzes that count, and proctored exams. Use it for homework you're allowed help on, practice problems, and review after you submit.
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Solve any angle, triangle, circle or proof problem with every step and theorem shown. 10 answers a day, no card needed.
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