🦕 Dino Geometry Quest! 🦖

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1. Points, Lines & Angles

📍 Point — A dot, no size. Written as: A
➡️ Line — Goes forever both ways: ↔ AB
➡ Ray — Starts at a point, goes one way: → AB
📏 Line Segment — Has two endpoints: AB

🔢 Types of Angles:
• Acute: < 90°
• Right: = 90° (perfect corner!)
• Obtuse: 90° < angle < 180°
• Straight: = 180°

🧠 REX SAYS REMEMBER!

A straight angle = 180° (like Rex's flat tail!)
Complementary angles add up to 90°
Supplementary angles add up to 180°

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2. Triangles

🔺 By Sides:
• Equilateral: 3 equal sides (all 60°)
• Isosceles: 2 equal sides
• Scalene: no equal sides

🔺 By Angles:
• Acute: all angles < 90°
• Right: one angle = 90°
• Obtuse: one angle > 90°

📐 Sum of angles = 180°

🧠 REX SAYS REMEMBER!

Triangle angles ALWAYS add to 180°!
Area = (base × height) ÷ 2
Think: "Half of a rectangle!"

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3. Quadrilaterals

◼ Square: 4 equal sides, 4 right angles
▬ Rectangle: opposite sides equal, 4 right angles
◆ Rhombus: 4 equal sides (tilted square!)
▱ Parallelogram: opposite sides parallel & equal
🔷 Trapezoid: exactly 1 pair of parallel sides

📐 All 4 angles add up to 360°

🧠 REX SAYS REMEMBER!

All quadrilaterals = 360° total
"Square is a special rectangle!"
Parallelogram Area = base × height

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4. Circles

⭕ Radius (r): center → edge
⭕ Diameter (d): all the way across = 2r
⭕ Circumference = 2πr = πd
⭕ Area = πr²
π ≈ 3.14

🧠 REX SAYS REMEMBER!

"Cherry Pie Delicious" → C = πd
"Apple Pies are Round" → A = πr²
Diameter = 2 × radius (ALWAYS!)

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5. Area & Perimeter

📏 Perimeter: total distance AROUND a shape

📦 Area formulas:
• Rectangle: l × w
• Square: s²
• Triangle: (b × h) ÷ 2
• Parallelogram: b × h
• Trapezoid: ((b₁ + b₂) × h) ÷ 2
• Circle: πr²

🧠 REX SAYS REMEMBER!

Perimeter = walk AROUND the shape
Area = paint the INSIDE of the shape
Area is always in square units (cm², m²)

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6. Volume & Surface Area

📦 Rectangular Prism:
Volume = l × w × h
Surface Area = 2(lw + lh + wh)

🔷 Cube:
Volume = s³
Surface Area = 6s²

🔺 Triangular Prism:
Volume = Area of triangle × length

🧠 REX SAYS REMEMBER!

Volume = how much FITS inside (cubic units!)
Surface Area = wrapping paper needed
Volume: l × w × h (3 dimensions!)

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7. Coordinate Geometry

📍 Ordered Pair: (x, y)
• x = horizontal (left/right)
• y = vertical (up/down)
• Origin = (0, 0)

📏 Distance Formula: for points on same axis,
just subtract! e.g., distance from (2,0) to (7,0) = 5 units

🗺️ 4 Quadrants:
Q1: (+,+) Q2: (-,+) Q3: (-,-) Q4: (+,-)

🧠 REX SAYS REMEMBER!

"Run before you Jump!" → x before y
(x, y) — across first, then up!
Quadrant I is top-right (positive land!)

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8. Transformations & Symmetry

🔄 Translation: slide (move) a shape
🔁 Reflection: flip across a line (mirror!)
🔃 Rotation: turn around a point
📐 Dilation: resize (bigger or smaller)

✨ Line of Symmetry: fold line where both halves match
🔵 Congruent: same shape AND same size
🔶 Similar: same shape, DIFFERENT size

🧠 REX SAYS REMEMBER!

Translation: slide (no turning!)
Reflection: mirror image
Congruent = twins! Similar = cousins!

GEOMETRY QUIZ — 20 Questions

ANSWER KEY & EXPLANATIONS