🌿
🍃
🌴
🌿
🍃
🌴
🌿
🦕 🦖 🦕 🦖
🦖
DINO GEOMETRY QUEST!
Learn Math with Mighty Dinosaurs! 🌟
📐 20 Questions ⏱️ Timed Quiz 🏆 All Topics 5th Grade

Hey Explorer! 🦕 Rex the Dino will teach you Geometry!
Learn concepts → See examples → Take the quiz!

📚 DINO CONCEPT GUIDE
Learn these before the quiz!
🦕 🦖 🦕 🦖
🦕
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°
🦖
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!"
🦕
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
🦖
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!)
🦕
5. Area & Perimeter
📏 Perimeter: total distance AROUND a shape

📦 Area formulas:
• Rectangle: l × w
• Square:
• 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)
🦖
6. Volume & Surface Area
📦 Rectangular Prism:
Volume = l × w × h
Surface Area = 2(lw + lh + wh)

🔷 Cube:
Volume =
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!)
🦕
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!)
🦖
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!

🦕 Good luck, Dino Explorer! 🦕

Question 1 of 20
⏱️ TIME
20:00
🏆 SCORE
0
🦖
AMAZING!
⭐⭐⭐⭐⭐
20/20
Time: 5:30
You're a Geometry Rex! 🦖
📖 ANSWER GUIDE
Full explanations by Dino Rex! 🦖