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integrated geometry terms from second semester ½ap = ½ apothem*perimeter Theorems: 6.1: opposite sides of parallelograms are congruent 6.2: opposite angles of a parallelogram are congruent 6.3: diagonals of a parallelogram bisect eachother 6.9: each diagonal of a rhombus bisects two angles of the rhombus 6.10: the diagonals of a rhombus are perpendicular 6.11:the diagonals of a rectangle are congruent 6.15: the base angles of an isos. trap. are congruent 6.16: the diagonals of an isos. trap. are…


a quadrilateral with both pairs of opposite sides parallel


a parallelogram with four congruent sides


a parallelogram with four right angles


a parallelogram with four congruent sides and four right angles


a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent


a quadrilateral with exactly one pair of parallel sides

isoscles trapezoid

a trapezoid whose nonparallel sides are congruent

consecutive angles

angles of a polygon that share a side

base angles of a trapezoid

two angles that share a base of a trapezoid (congruent in isos. trap.)

midsegment of a trapezoid

the segment that joins the midpoints of the nonparallel opposite sides of a trapezoid

trapezoid midsegment theorem

1) the midsegment of a trapezoid is parallel to the bases 2) the length of the midsegment of a trapezoid is the average of the bases

base of a parallelogram

any side of the parallelogram


a segment perpendicular to the line containing that base drawn from the side opposite the base


length of altitude

area of a rectangle or parallelogram


area of a triangle


pythagorean theorem

the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse

pythagorean triple

a set of nonzero whole numbers a, b, and c that satisfy the pythagorean theorem


right triangle


acute triangle


obtuse triangle

45-45-90 triangle theorem

hypotenuse = √2*leg

30-60-90 triangle theorem

hypotenuse = 2short leg; long leg = √3short leg

height of a trapezoid

the perpendicular distance between the bases

area of a trapezoid


are of a rhombus or kite


radius of regular polygon

distance from the center to any given vertex


perpendicular distance from the center to any given side

area of a regular polygon



set of points all equidistant from a given point called center


segment with one endpoint on circle and other on center

congruent circles

have congruent radii


segment with both endpoints on circle passing through center

central angle

an angle whose vertex is the center of the circle


half a circle

minor arc

an arc smaller than a semicircle

major arc

an arc larger than a semicircle

adjacent arcs

arcs of the same circle that have exactly one point in common

arc addition postulate



distance around a circle; πd or 2πr

pi (π)

ratio of the circumference of a circle to it's diameter

concentric circles

circles on same plane with same centers

arc length theorem

length of AB = mAB/360*2πr

congruent arcs

arcs that have the same measure and are in the same circle or in congruent circles

sector of a circle

region bound by an arc of the circle and the two radii to the arc's endpoints

segment of a circle

region bound by an arc and the segment joining its endpoints

area of a circle


area of a sector of a circle

area of sector AOB = mAB/360*πr²


a statement that two ratios are equal; a/b = c/d; a:b = c:d

extended proportion

a statement that three or more ratios are equal; a/b = c/d = e/f; a:b = c:d = e:f

cross-product property

multiplying both sides of a/b = c/d by bd

similar (~)

two figures that have the same shape but no necessarily the same size

similarity ratio

the ratio of lengths of corresponding sides

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