Study your flashcards anywhere!

Download the official Cram app for free >

  • Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key

image

Play button

image

Play button

image

Progress

1/17

Click to flip

17 Cards in this Set

  • Front
  • Back
  • 3rd side (hint)
Triangle Inequality Theorem
a. The third side of any triangle must be a measure in between the sum and the difference of the other two sides.
b. In any triangle, the longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
c. The sum of any two sides of a triangle is greater than the third side.
Locus
all of the points that satisfy a given situation
similar figures
figures are congruent if and only if corresponding angles are congruent and corresponding sides are proportional
ratio
a comparison of two values
proportion
two equal ratios
4-in-1 theorem
in similar triangles, the corresponding altitudes are in the same ratio as the corresponding SIDES, ANGLE BISECTORS, MEDIANS, AND PERIMETERS
in a right triangle with an altitude drawn to the hypotenuse....
a. the three right triangles similar to eachother.
b. the altitudes is the geometric mean of the two parts of the hypotenuse that it divides.
c. the leg is the geometric mean of the hypotenuse and the part of the hypotenuse it is adjacent to.
corilary theorems
if a2 + b2 = c2 then the triangle is right.

if a2 + b2 < c2 then the triangle is obtuse.

if a2 + b2 > c2 then the triangle is acute.
2 = squared
circumcenter
FORMED BY: perpendicular bisectors

RULE: equidistant to all 3 verticies of a triangle.
incenter
FORMED BY: angle bisectors

RULE: equidistant to all 3 sides of a triangle.
centroid
FORMED BY: medians

RULE: the length of the segment from the centroid to the vertex is 2 times the length of the segment from the centroid to the side
orthocenter
FORMED BY: altitudes

RULE: cevas theorem
central angle
anangle whos vertex is at the center and its sides are both radii
inscribed angle
an angle whos vertex is on the circle and whos sides are chords
interior angle
an angle whos vertex is an interior point and the angle is formed by the intersection of 2 chords
exterior angle
an angle whos vertex is an exterior point and whos sides are either 2 secants, 2 tangents or a secant and a tangent
in similar figures...
in similar figures, the ratio of the areas = the square of the ratio of the corresponding sides.