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27 Cards in this Set

  • Front
  • Back
comparison of two quantities
statement that two ratios are equal
when you set three or more ratios equal
extended proprtion
"the product of the extremes is equal to the product of the means."
Cross-Product Property
the scale compares each length in the drawing to the actual length
scale drawing
how are polygons similar?
1.corresponding angles and congruent
2. corresponding sides are proportional
ratio of the lengths of corresponding sides
similarity ratio
you can use similar triangles and measurements to find distances that are difficult to measure directly
indirect measurement
perpendicular segment from a vertex to the line containing the opposite side
for any two positive numbers a and b, the ? of a and b is the positive #x such that a/x = x/b
geometric mean
# of square units a surface covers
quadrilateral with both pairs of opposite sides parallel
parallelogram with four sides congruent
parallelogram with 4 right angles
parallelogram with 4 congruent sides and 4 right angles
quadrilateral with 2 pairs of adjacent sides congruent and no opposite sides congruent
quadrilateral with exactly one pair of parallel sides
trapezoid whose nonparallel opposite sides are congruent
isosceles trapezoid
Properties of Parallelograms
1. opposite angles congruent
2. diagonals bisect each other
3. consecutive angles = 180
4. opposite sides congruent
5. diagonal bisect opposite angles
6. diagonals perpendicular
7. diagonals congruent
segment that joins the midpoints of the nonparallel sides
a statement that follows immediately after a theorem
corresponding parts of congruent triangles are congruent
states that if a point is on the bisector of an angle, then it is equidistant from the sides of the angle
Angle Bisector Theorem
1. some rectangles are squares
2. no kites are parallelograms
3. some trapezoids have a pair of congruent sides
4. all squares are regulare quadrilaterals
5. no trapezoids have both pairs of opposite sides parallel
6. some rectangles are rhombi
7. some rhombi have congruent diagonals
8. all square are parallelograms