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Questions and Answers
Match the following formulas with their respective calculations:
Perimeter of a Triangle = a + b + c Area of a Triangle = 1/2bh Midpoint Formula = (x1 + x2)/2, (y1 + y2)/2 Slope Formula = (y2 − y1)/(x2 − x1)
Match the following geometry formulas with their properties:
Sum of Interior Angles of a Polygon = (n − 2) * 180 Perimeter of a Rectangle = 2 × (Length + Width) Area of a Square = a^2 Volume of a Cube = a^3
Match the following shapes with their perimeter formulas:
Parallelogram = 2a + 2b Rhombus = 4a Trapezoid = a + b + c + d Kite = 2a + 2b
Match the following shapes with their surface area formulas:
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Match the following shapes with their volume formulas:
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Match the following circle properties with their respective formulas:
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Study Notes
Geometry Formulas
- Perimeter of a Triangle: sum of all three sides (a + b + c)
- Area of a Triangle: 1/2 base × height (1/2bh)
Midpoint and Slope Formulas
- Midpoint Formula: ((x1 + x2)/2, (y1 + y2)/2)
- Slope Formula: (y2 - y1) / (x2 - x1)
Distance Formula
- Distance between two points: √((x2 - x1)^2 + (y2 - y1)^2)
Polygons
- Sum of Interior Angles of a Polygon: (n - 2) × 180
- Each Angle of a Polygon: (n - 2) × 180 / n
Quadrilaterals
- Perimeter of a Rectangle: 2 × (Length + Width)
- Area of a Rectangle: Length × Width
- Perimeter of a Square: 4a
- Area of a Square: a^2
- Perimeter of a Parallelogram: 2a + 2b
- Area of a Parallelogram: base × height (bh)
- Perimeter of a Rhombus: 4a
- Area of a Rhombus: 1/2 × product of diagonals (1/2pq)
- Perimeter of a Trapezoid: a + b + c + d
- Area of a Trapezoid: 1/2 × (sum of bases) × height (1/2(b1 + b2)h)
- Perimeter of a Kite: 2a + 2b
- Area of a Kite: 1/2 × product of diagonals (1/2pq)
3D Shapes
- Surface Area of a Cube: 6a^2
- Volume of a Cube: a^3
- Surface Area of a Rectangular Prism: 2lw + 2lh + 2wh
- Volume of a Rectangular Prism: lwh
- Surface Area of a Cylinder: 2πr^2 + 2πrh
- Volume of a Cylinder: πr^2h
- Surface Area of a Pyramid: lw + Area of each triangle
- Volume of a Pyramid: 1/3lwh
- Surface Area of a Cone: πr^2 + πrl
- Volume of a Cone: 1/3πr^2h
- Surface Area of a Sphere: 4πr^2
- Volume of a Sphere: 4/3πr^3
Circles
- Circumference of a Circle: πd
- Area of a Circle: πr^2
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Description
Test your knowledge of geometry with this quiz covering formulas for triangles, midpoints, slopes, polygons, rectangles, squares, and parallelograms. Practice calculating perimeters and areas of various shapes.
