Key Curriculum Press Discovering Geometry Chapter 9

Chapter 9 fla sh cards

12 cards   |   Total Attempts: 182
  

Cards In This Set

Front Back
Radius
Center point of a circle to the end; half of the diameter
Diameter
Line through the center of the circle
Common right triangles
3-4-5, 6-8-10, 9-12-15, 12-16-20, 15-20-25 5-12-13, 10-24-26 8-15-17 7-24-25
Pythagorean theorem
If it is a right triangle, then a2 + b2 = c2
Converse of pythagorean theorem
If a2 + b2 = c2 , then it is a right triagle
45-45-90 special rules
s is the short leg. s square root of 3 is the other leg. hypotenuse is 2s
30-60-90
Short side is s, long side is s square root of 3: hypotenuse is 2s
45-45-90
Legs are both s hypotenuse is s square root of 2
Distance formula between points A and B
distance2 = (xx - x2)2 + (y2 - y2)2 or distance = (xx - x1) + (y2 - y1)
Equation of a circle with center (h, k) and radius r
(x - h)2 + (y - k)2 = r2
Tangent conjecture
A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
Angles inscribed in a semicircle conjecture
Angles inscribed in a semicircle are right angles