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Dino Geometry Quest

Rex's Shape Expedition

Join Rex the T-Rex and his fossil-hunting friends as they explore the Geometry Valley — angles, triangles, quadrilaterals, circles, and more!

🦕 Story Time: Deep in the Geometry Valley, Rex the T-Rex found strange ancient stones shaped like triangles, squares, and circles scattered across the canyon. To unlock the secret of the Lost Shape Temple, Rex must master every shape rule the old dinosaur scholars left behind. Will you help Rex measure angles, count sides, and solve the temple's puzzles? Let's begin the expedition!

Angles — The Claw Marks

🦴 What is an Angle?

An angle is formed when two rays meet at a point called the vertex. Angles are measured in degrees (°).

Right = 90° | Acute < 90° | Obtuse: 90°–180° | Straight = 180°

Example: A square corner is always a right angle (90°).

Triangles — Tri-ceratops Territory

🦕 Triangle Angle Sum

The three interior angles of any triangle always add up to 180°.

Equilateral = 3 equal sides | Isosceles = 2 equal sides | Scalene = 0 equal sides

Example: If two angles are 50° and 60°, the third angle = 180 − 50 − 60 = 70°.

Quadrilaterals — The Fossil Field

🦴 Four-Sided Shapes

A quadrilateral has 4 sides and its interior angles always sum to 360°.

Square: 4 equal sides + 4 right angles | Rectangle: opposite sides equal | Trapezoid: only 1 pair of parallel sides

Example: A rectangle with sides 8 and 5 → Perimeter = 2 × (8+5) = 26.

Lines — The Stomping Trails

🦖 Parallel & Perpendicular

Parallel lines never meet, like train tracks. Perpendicular lines cross to form a 90° angle.

⊥ = perpendicular symbol | ‖ = parallel symbol

Example: The two edges of a square corner are perpendicular.

Perimeter & Area — Digging Sites

🦴 Measuring the Dig Site

Perimeter = distance around a shape. Area = space inside a shape.

Rectangle Area = L × W | Triangle Area = ½ × base × height | Square Area = side × side

Example: Triangle with base 8, height 5 → Area = ½ × 8 × 5 = 20.

Circles — The Egg Nest

🥚 Parts of a Circle

Radius: center to edge. Diameter: edge to edge through the center (2 × radius).

Diameter = Radius × 2

Example: Radius = 5 → Diameter = 5 × 2 = 10.

Polygons & Symmetry — The Bone Map

🦕 Naming Shapes

Polygons are named by their number of sides. A shape has line symmetry if it can be folded into two matching halves.

5 sides = Pentagon | 6 sides = Hexagon | 8 sides = Octagon

Example: A stop sign has 8 sides → it's an octagon.

Coordinate Plane & Volume — Treasure Map

🗺️ Reading the Map

A point (x, y) is found by moving x spaces right and y spaces up from the origin (0,0). Volume of a box = L × W × H.

Volume of rectangular prism = length × width × height

Example: Box 3 × 2 × 4 → Volume = 24 cubic units.

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Rex's Shape Trial — 20 Questions

Tap an answer. Correct answers trigger confetti 🎉 — wrong answers show the explanation immediately.