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