← SciSim/Math Playground/Lines & Polygons

Lines & Polygons

Learn lines, rays and angles of lines, then triangles and four-sided shapes. Build shapes, sort them, solve missions and beat the clock.

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The idea, step by step

Start here. A line goes on forever in both directions. A line segment is a piece of a line with two end points. A ray has one end point and goes on forever the other way. Two lines on a flat page are parallel if they never meet, like railway tracks. They are perpendicular if they cross at a right angle, like the corner of a page.

Triangles. Name a triangle by its sides: equilateral has all 3 sides equal, isosceles has exactly 2 equal sides, scalene has no equal sides. You can also name it by its biggest angle: acute (all angles less than 90°), right (one angle of exactly 90°) or obtuse (one angle more than 90°).

Four-sided shapes. Look at three things: parallel sides, equal sides and right angles. A square has 4 equal sides and 4 right angles. A rectangle has 4 right angles. A rhombus has 4 equal sides. A parallelogram has 2 pairs of parallel sides. In this game a trapezoid has exactly 1 pair of parallel sides. A kite has two pairs of equal sides that sit next to each other.

Most specific name. A square is also a rectangle, a rhombus and a parallelogram. When a question asks for the most specific name, pick the name that tells you the most, so a square is called a square.

Try this above. In Play, move the corners of a four-sided shape until it is a rectangle, then slide one corner and watch the name change. Make a triangle with two equal sides. Make two lines that never meet.

Questions

What is the difference between a line, a line segment and a ray?

A line has no ends and goes on forever both ways. A line segment has two end points. A ray starts at one point and goes on forever in one direction.

Is a square a rectangle?

Yes. A square is a rectangle that also has four equal sides. When a question asks for the most specific name, the answer for a square is square.

Why can I not make an equilateral triangle by moving corners on the dots?

An equilateral triangle cannot sit exactly on dot-grid points. Use the Side lengths tool at level 2 to make one: set all three sides to the same number.

What is a trapezoid in this game?

A shape with exactly one pair of parallel sides. Some books also count parallelograms as trapezoids. We use the exact-one rule here, and questions that ask for the most specific name always give a clear answer.

What age is this for?

Pick the level, not the age. "Just starting" is about lines, "I know the basics" is about triangles and "Challenge me" is about four-sided shapes.

Do I need to sign up?

No. It is free and needs no account. Your stars are saved in your own browser.