Three-Dimensional Figures Tenth Grade Geometry - Complete Guide 1. Parts of Three-Dimensional Figures Key Components Face: A flat or curved surface of a 3D shape Edge: The line segment where
Area and Perimeter - Tenth Grade Geometry Introduction Perimeter: The total distance around a closed figure (measured in linear units: cm, m, in, ft) Area: The amount of space inside
Laws of Sines and Cosines - Tenth Grade Introduction Purpose: Solve ANY triangle (not just right triangles) Two Main Laws: • Law of Sines: Relates sides to opposite angles using
Right Triangle Trigonometry - Tenth Grade Introduction to Trigonometry Trigonometry: The study of relationships between angles and sides of triangles Greek Origin: "trigonon" (triangle) + "metron" (measure) Applies to: RIGHT
Pythagorean Theorem - Tenth Grade Geometry 1. Pythagorean Theorem Pythagorean Theorem: In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two
Quadrilaterals - Tenth Grade Geometry Introduction to Quadrilaterals Quadrilateral: A polygon with four sides, four vertices, and four angles Sum of Interior Angles: Always 360° Number of Diagonals: 2 Types:
Properties of Triangles - Tenth Grade Geometry 1. Midsegments of Triangles Midsegment: A line segment connecting the midpoints of two sides of a triangle Also Called: Midline Number of Midsegments:
Similar Figures - Tenth Grade Geometry Introduction to Similar Figures Similar Figures: Two figures that have the same shape but not necessarily the same size Symbol: $sim$ (is similar to)
Congruent Triangles - Tenth Grade Geometry Introduction to Triangle Congruence Congruent Triangles: Two triangles that have exactly the same size and shape Symbol: $triangle ABC cong triangle DEF$ Key Property:
Congruent Figures Review - Tenth Grade Geometry Introduction to Congruent Figures Congruent Figures: Two figures that have exactly the same size and shape Symbol: $cong$ (is congruent to) Key Property: