🦕 Dino Geometry Adventure

📐 Unit 1: Perimeter MEMORIZE

Perimeter = the total distance around a shape.

📏 Rectangle: P = 2 × (length + width)
📏 Square: P = 4 × side
📏 Triangle: P = a + b + c

Perimeter is measured in units (cm, m, ft)
Add ALL sides together
Square: all 4 sides are equal

🦕 Dino Example: Rex's pen is 8 cm × 5 cm.
P = 2 × (8 + 5) = 2 × 13 = 26 cm

🟩 Unit 2: Area MEMORIZE

Area = the space inside a 2D shape.

🟦 Rectangle: A = length × width
🟦 Square: A = side × side = side²
🔺 Triangle: A = ½ × base × height

Area is measured in square units (cm², m²)
Triangle area = HALF of rectangle with same base & height
Composite shape: split into simpler shapes, add/subtract

🦖 Dino Example: A triangle: base = 10 cm, height = 6 cm.
A = ½ × 10 × 6 = 30 cm²

📐 Unit 3: Angles & Triangles MEMORIZE

🔺 Angles in a triangle always add to 180°
⬜ Angles in a quadrilateral always add to 360°

Right triangle: one angle = exactly 90°
Acute triangle: all angles < 90°
Obtuse triangle: one angle > 90°
Equilateral: 3 equal sides, all angles = 60°
Isosceles: 2 equal sides, 2 equal angles

⬛ Unit 4: Quadrilaterals MEMORIZE

Square: 4 equal sides, 4 right angles, 4 lines of symmetry
Rectangle: opposite sides equal, 4 right angles, 2 lines of symmetry
Parallelogram: opposite sides parallel & equal
Trapezoid: exactly 1 pair of parallel sides
Rhombus: 4 equal sides, opposite angles equal

🪞 Unit 5: Symmetry MEMORIZE

Regular polygon with N sides → N lines of symmetry
Regular hexagon → 6 lines of symmetry
Rectangle → 2 lines | Square → 4 lines

Line of symmetry: folds shape into two identical halves
Circle: infinite lines of symmetry

📦 Unit 6: Volume & 3D Shapes MEMORIZE

📦 Volume of rectangular prism = length × width × height
Measured in cubic units (cm³)

Rectangular prism: 6 faces, 8 vertices, 12 edges
Cube: all faces are squares
Pyramid: triangular faces meeting at an apex
Cylinder: 2 circular bases, 1 curved surface

🗺️ Unit 7: Coordinates & Circles MEMORIZE

🎯 Point (x, y): x = across (horizontal), y = up (vertical)
⭕ Diameter = 2 × Radius | Radius = Diameter ÷ 2

Origin = (0, 0) on coordinate grid
x-axis = horizontal, y-axis = vertical
Diameter passes through the center of a circle

Question 1 of 20

📐 Unit 1 — Perimeter

🦕

Rex the dino's rectangular pen is 8 cm long and 5 cm wide. What is the perimeter of Rex's pen?

Question 2 of 20

🟩 Unit 2 — Area of Rectangle

🦖

Spike found a rectangular leaf that is 12 cm long and 7 cm wide. What is the area of the leaf?

Question 3 of 20

🟩 Unit 2 — Area of Square

🦕

Dino drew a square with each side measuring 9 cm. What is the area of the square?

Question 4 of 20

📐 Unit 1 — Perimeter of Square

🦕

Baby Dino walks around a square sandbox with each side 6 cm. How far does she walk to go all the way around?

Question 5 of 20

📐 Unit 3 — Triangle Types

🦖

A dino fossil shows a triangle with angles 90°, 45°, and 45°. What TYPE of triangle is this?

Question 6 of 20

📐 Unit 3 — Angle Sum in Triangle

🦕

Professor Dino says: "The angles inside any triangle always add up to…"

Question 7 of 20

📐 Unit 3 — Missing Angle in Triangle

🦖

A dinosaur footprint is triangle-shaped. Two angles are 60° and 80°. What is the third angle?

Question 8 of 20

⬛ Unit 4 — Angle Sum in Quadrilateral

🦕

Dino's map is shaped like a quadrilateral. The angles inside any quadrilateral always add up to:

Question 9 of 20

⬛ Unit 4 — Missing Angle in Quadrilateral

🦖

A dino treasure box has four corners with angles 90°, 90°, 100°, and an unknown angle. What is the missing angle?

Question 10 of 20

🪞 Unit 5 — Lines of Symmetry: Rectangle

🦕

Dino holds a rectangle up to a mirror. How many lines of symmetry does a rectangle have?

Question 11 of 20

🪞 Unit 5 — Lines of Symmetry: Hexagon

🦖

Dino found a regular hexagonal fossil. How many lines of symmetry does a regular hexagon have?

Question 12 of 20

🟩 Unit 2 — Area of Triangle

🦕

Dino's triangular island has a base of 10 cm and a height of 6 cm. What is the area of the island?

Question 13 of 20

📦 Unit 6 — Volume of Rectangular Prism

🦖

Dino packs his snacks into a box that is 4 cm × 3 cm × 5 cm. What is the volume of the box?

Question 14 of 20

⬛ Unit 4 — Classifying Quadrilaterals

🦕

Dino says: "A square is a special rectangle." Which property makes a square different from a regular rectangle?

Question 15 of 20

⬛ Unit 4 — Trapezoid

🦖

Dino draws a trapezoid. How many pairs of parallel sides does a trapezoid have?

Question 16 of 20

🗺️ Unit 7 — Coordinate Plane

🦕

On a coordinate grid, Dino buried a bone 3 units to the right and 4 units up from the origin. What are the coordinates of the bone?

Question 17 of 20

🟩 Unit 2 — Composite Area

🦖

Dino's garden is a 10 cm × 6 cm rectangle with a 2 cm × 2 cm square pond cut out of one corner. What is the area of the garden (not including the pond)?

Question 18 of 20

📐 Unit 1 — Perimeter of Triangle

🦕

Dino's claw mark is an isosceles triangle with two equal sides of 7 cm and a base of 5 cm. What is its perimeter?

Question 19 of 20

📦 Unit 6 — Identify 3D Shapes

🦖

Dino found an ancient stone with 6 flat faces, 8 vertices, and 12 edges. What 3D shape is it?

Question 20 of 20

🗺️ Unit 7 — Radius & Diameter

🦕

Dino found a perfectly round fossil. Its radius is 8 cm. What is the diameter of the fossil?

📋 Answer Key & Explanations

Question 1 — Perimeter of Rectangle

"Rex's pen is 8 cm × 5 cm. What is the perimeter?"

✅ Correct Answer: B) 26 cm

P = 2 × (length + width) = 2 × (8 + 5) = 2 × 13 = 26 cm. You add ALL sides: 8 + 5 + 8 + 5 = 26.

Question 2 — Area of Rectangle

"Rectangular leaf 12 cm × 7 cm. What is the area?"

✅ Correct Answer: C) 84 cm²

A = length × width = 12 × 7 = 84 cm². Area is always measured in square units (cm²).

Question 3 — Area of Square

"Square with side 9 cm. What is the area?"

✅ Correct Answer: C) 81 cm²

A = side × side = 9 × 9 = 9² = 81 cm². A square has 4 equal sides, so multiply side by itself.

Question 4 — Perimeter of Square

"Square sandbox, each side 6 cm. How far does Dino walk around?"

✅ Correct Answer: B) 24 cm

P = 4 × side = 4 × 6 = 24 cm. A square has 4 equal sides, so multiply one side by 4.

Question 5 — Triangle Type by Angles

"Triangle with angles 90°, 45°, 45°. What type?"

✅ Correct Answer: B) Right Triangle

Any triangle with exactly one 90° angle is a Right Triangle. Check: 90 + 45 + 45 = 180° ✔. Since it also has 2 equal angles (45°), it's also isosceles.

Question 6 — Sum of Angles in a Triangle

"Angles inside any triangle always add up to…"

✅ Correct Answer: B) 180°

This is a geometry rule: the 3 interior angles of ANY triangle always sum to exactly 180°. This is true for all triangles, no exceptions.

Question 7 — Missing Angle in Triangle

"Two angles are 60° and 80°. What is the third angle?"

✅ Correct Answer: B) 40°

All angles sum to 180°. Missing angle = 180° − 60° − 80° = 40°.

Question 8 — Sum of Angles in Quadrilateral

"Angles inside any quadrilateral always add up to…"

✅ Correct Answer: C) 360°

Any quadrilateral (4-sided shape) has angles that sum to 360°. You can think of it as two triangles (2 × 180° = 360°).

Question 9 — Missing Angle in Quadrilateral

"Angles: 90°, 90°, 100°, and ?. What is the missing angle?"

✅ Correct Answer: B) 80°

All angles sum to 360°. Missing = 360° − 90° − 90° − 100° = 80°.

Question 10 — Lines of Symmetry: Rectangle

"How many lines of symmetry does a rectangle have?"

✅ Correct Answer: B) 2

A rectangle has 2 lines of symmetry: one horizontal (top-to-bottom fold) and one vertical (left-to-right fold). Note: unlike a square, the diagonal is NOT a line of symmetry for a rectangle.

Question 11 — Lines of Symmetry: Regular Hexagon

"How many lines of symmetry does a regular hexagon have?"

✅ Correct Answer: C) 6

A regular hexagon has 6 lines of symmetry. Rule: a regular polygon with N sides has N lines of symmetry. Hexagon = 6 sides = 6 lines.

Question 12 — Area of Triangle

"Triangle: base = 10 cm, height = 6 cm. What is the area?"

✅ Correct Answer: B) 30 cm²

A = ½ × base × height = ½ × 10 × 6 = ½ × 60 = 30 cm². Always multiply by ½ (or divide by 2) for triangles.

Question 13 — Volume of Rectangular Prism

"Box: 4 cm × 3 cm × 5 cm. What is the volume?"

✅ Correct Answer: C) 60 cm³

V = length × width × height = 4 × 3 × 5 = 60 cm³. Volume is measured in cubic units (cm³).

Question 14 — Square vs. Rectangle

"What makes a square different from a regular rectangle?"

✅ Correct Answer: A) A square has all 4 sides equal in length

Both squares and rectangles have 4 right angles. The key difference: a square has all 4 sides equal, while a rectangle only requires opposite sides to be equal.

Question 15 — Trapezoid Parallel Sides

"How many pairs of parallel sides does a trapezoid have?"

✅ Correct Answer: B) 1 pair

By definition, a trapezoid has exactly 1 pair of parallel sides (called the bases). This is what distinguishes it from a parallelogram (which has 2 pairs).

Question 16 — Coordinate Plane

"3 units right, 4 units up from origin. What are the coordinates?"

✅ Correct Answer: B) (3, 4)

Coordinates are written as (x, y). x = horizontal (right = positive) → 3. y = vertical (up = positive) → 4. So the point is (3, 4).

Question 17 — Composite Area

"10×6 rectangle minus 2×2 square pond. What is the garden area?"

✅ Correct Answer: C) 56 cm²

Rectangle area = 10 × 6 = 60 cm². Pond area = 2 × 2 = 4 cm². Garden area = 60 − 4 = 56 cm². For composite shapes, add or subtract the parts.

Question 18 — Perimeter of Isosceles Triangle

"Isosceles triangle: two sides = 7 cm, base = 5 cm. Perimeter?"

✅ Correct Answer: C) 19 cm

P = 7 + 7 + 5 = 19 cm. An isosceles triangle has 2 equal sides. Add all 3 sides together for perimeter.

Question 19 — Identify 3D Shape

"6 flat faces, 8 vertices, 12 edges. What shape?"

✅ Correct Answer: B) Rectangular Prism

A rectangular prism (cuboid) has exactly 6 faces (all rectangles), 8 vertices (corners), and 12 edges. This is a key fact to memorize!

Question 20 — Radius & Diameter

"Radius = 8 cm. What is the diameter?"

✅ Correct Answer: C) 16 cm

Diameter = 2 × radius = 2 × 8 = 16 cm. The diameter passes through the center and is always exactly twice the radius.