Terms in this set (40)
intersects a circle in only 1 place.
intersects a circle in 2 places.
is equal to its intercepted arc.
is equal to ½ its intercepted arc.
share a common vertex, a common side, but not common interior points.
2 angles when added together that equal 90 degrees.
They do not have to be adjacent angles.
2 angles when added together that equal 180 degrees.They do not have to be adjacent angles.
Alternate interior angles
Sum of the angles in a triangle
the 3 angles of a triangle add up to 180 degrees.
Triangles classified by sides
scalene triangles have no equal sides.
isosceles triangles have at least 2 equal sides.
equilateral triangles have 3 equal sides.
Triangles classified by angles
acute triangles have 3 acute angles.
right triangles have a 90 degree and 2 acute angles.
obtuse triangles have an obtuse and 2 acute angles.
Exterior angle of a triangle
equals the sum of the 2 opposite interior angles.
sides opposite congruent angles are congruent.
angles opposite congruent sides are congruent.
Triangle inequality theorem
the sum of 2 sides of a triangle must be greater than the 3rd side.
bisects the opposite side into 2 congruent line segments.
median segments are in a ratio of 2 to 1.
bisects an angle into 2 congruent angles.
makes a right angle with the opposite side.
bisects and makes a right angle with a side of a triangle.
angles in similar (∼) triangles are congruent.
sides are in proportion.
Proving triangles similar
need only 2 angles to be congruent to prove 2 triangles similar.
Proving triangles congruent
can not be angle angle side (A.S.S.) or side side angle(S.S.A.).
corresponding parts of congruent triangles are congruent.
a squared plus b squared equals c squared.
the hypotenuse is always c.
distance around the outside of a polygon.
Dilations are a capital D.
Reflections are a lower case r.
Rotations are a capital R.
Translations are a capital T.
Multiply both coordinates by the scale factor.
Reflection over the x axis
change the sign of the y coordinate.
Reflection over the y axis
change the sign of the x coordinate.
Reflection over the line y=x
switch the x and y coordinates.
Rotation of 90 degrees
graph the coordinate. rotate the graph 90 degrees counter clockwise and read the new point.
Rotation of 180 degrees
graph the coordinate. rotate the graph 180 degrees counter clockwise and read the point.
Rotation of 270 degrees
graph the coordinate. rotate the graph 270 degrees counter clockwise and read the point.
add the 2 integers to the orginal coordinate. add the first integer to the x coordinate and the second integer to the y coordinate.
has no thickness and extends forever in all directions.
has no thickness, but it extends forever in both directions.
are points that lie on the same line
are points that lie on the same plane
are lines on the same plane that never touch.
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