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