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27 Cards in this Set
 Front
 Back
comparison of two quantities

ratio


statement that two ratios are equal

proportion


when you set three or more ratios equal

extended proprtion


"the product of the extremes is equal to the product of the means."

CrossProduct 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

altitude


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

area


quadrilateral with both pairs of opposite sides parallel

parallelogram


parallelogram with four sides congruent

rhombus


parallelogram with 4 right angles

rectangle


parallelogram with 4 congruent sides and 4 right angles

square


quadrilateral with 2 pairs of adjacent sides congruent and no opposite sides congruent

kite


quadrilateral with exactly one pair of parallel sides

trapezoid


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

midsegment


a statement that follows immediately after a theorem

corollary


CPCTC

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
