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Flashcards covering key concepts from Unit 5 through Unit 9, focusing on triangle proofs, polygons, circles, solids, and transformations.
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SSS, SAS, ASA, AAS, HL
Postulates to prove triangle congruency.
Included Angle
An angle between two given sides of a triangle.
(n - 2) × 180°
The sum of interior angles of a polygon with n sides.
½ × apothem × perimeter
Area of a regular polygon.
Area of a Circle
πr²
Arc Length Formula
(θ/360) × 2πr
Probability of a point in a shaded area
Shaded Area / Total Area
Central Angle vs. Arc
They are equal.
Inscribed Angle
½ the intercepted arc.
Power of a Point Theorem for chords
AE × EB = CE × ED
Tangents from the same point
They are congruent.
Surface Area of a Sphere
4πr²
Volume of a Cylinder
πr²h
Volume of a Cone
(1/3)πr²h
Translation
Using a vector ⟨x, y⟩
Dilation
Multiply each coordinate from the center by scale factor k.
Reflection
Flip it across a line, maintaining equal distances.
90° Counterclockwise Rotation
(x, y) becomes (−y, x)