Circle theorems, triangle relationships, and basic trigonometry concepts tested on the SAT math section.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- What is the relationship between an inscribed angle and a central angle that subtend the same arc?
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The inscribed angle is half the central angle.- All inscribed angles that subtend the same arc have what relationship?
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They are equal.- An inscribed angle that subtends a semicircle measures how many degrees?
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90 degrees.- What is the relationship between a tangent line and the radius at the point of tangency?
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They are perpendicular to each other.- Two tangent segments drawn from an external point to a circle are what to each other?
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Equal in length.- When two chords intersect inside a circle, what is true about the four segments created?
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The products of opposite segments are equal: (segment 1) times (segment 2) equals (segment 3) times (segment 4).- In a circle, if an arc measures 60 degrees, what is the measure of the central angle that subtends it?
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60 degrees.- The Pythagorean theorem (a^2 + b^2 = c^2) applies to which type of triangle?
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Right triangles only.- In a 45-45-90 triangle with legs of length 1, what is the length of the hypotenuse?
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√2.- In a 30-60-90 triangle where the shortest side (opposite 30 degrees) has length 1, what is the hypotenuse?
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2.- In a 30-60-90 triangle where the shortest side has length 1, what is the length of the side opposite 60 degrees?
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√3.- What is the sum of the three angles in any triangle?
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180 degrees.- In an isosceles triangle, what is true about the base angles?
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They are equal.- What does the exterior angle theorem state about a triangle?
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An exterior angle equals the sum of the two non-adjacent interior angles.- What does it mean for two triangles to be similar?
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Their corresponding angles are equal and their corresponding sides are proportional.
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