1) congruent corresponding angles, and 2) proportional corresponding sides
Back
What's important for a cheese grater problem?
Front
check if the lines are parallel!
Back
How to solve for x in Right Triangle Similarity?
Front
-need right triangle
-drop an altitude to hypotenuse
-create similar triangles
-draw arrows (don't cross the fence)
-set up geometric mean of the two arrows
Back
What makes polygons similar
Front
corresponding angles are congruent, corresponding sides are proportional
Back
Altitude
Front
perpendicular segment from opposite vertex to the line containing the base
Back
How to solve triangle angle bisector?
Front
Draw arrows (don't cross the fence), set up a proportion, cross-multiply, solve
Back
Proportional
Front
existing in constant ratio
Back
Theorem 6-4 (cheese grater)
Front
if three or more parallel lines cut congruent segments on a single transversal, then the parallel lines will cut congruent segments on every transversal
Back
Geometric Mean
Front
square root of a product
Back
Quadratic Formula
Front
Back
Golden Ratio
Front
Back
Right triangle
Front
triangle with a right angle
Back
Postulate 8-1, Angle angle similarity
Front
if 2 angles pf one triangle are congruent to two angles of another, then ∆1∼∆2
Back
How many ways to prove triangles similar?
Front
3 ways
Back
Corollary to Th 8-4
Front
if three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional
Back
Theorem 8-1 Side angle side similarity
Front
if an angle of one triangle is congruent to an angle of another triangle and the sides making those angles are proportional, then ∆1∼∆2
Back
Hypotenuse
Front
side opposite the right angle in a right triangle
Back
Theorem 8-2 side side side similarity
Front
if the three sides one triangle are proportional to the three sides of another triangle, then ∆1∼∆2