Geometry & Measurement Flashcards
7 cards from real AMC 12 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Geometry & Measurement flashcards as text
What is the sum of the interior angles of a convex 12-gon?
Answer: 1800°
(12 − 2)·180° = 1800°.
What is the area of the triangle with vertices (0, 0), (4, 0), and (1, 3)?
Answer: 6
The base is 4 and the height is 3, so the area is 4·3/2 = 6.
A right triangle has legs 5 and 12. What is the length of the altitude to the hypotenuse?
Answer: 60/13
Altitude = (leg·leg)/hypotenuse = 60/13.
A right circular cone has radius 3 and height 4. What is its lateral surface area?
Answer: 15π
The slant height is 5, so the lateral area is πrl = 15π.
A chord of length 8 lies in a circle of radius 5. How far is the chord from the center?
Answer: 3
The perpendicular from the center bisects the chord: sqrt(25 − 16) = 3.
From an external point P, a secant meets a circle at A and B with PA = 4 and PB = 9. What is the length of a tangent segment from P to the circle?
Answer: 6
By power of a point, t² = PA·PB = 36, so t = 6.
An equilateral triangle is inscribed in a circle of radius 2. What is the side length of the triangle?
Answer: 2√3
s = R√3 = 2√3.
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