table

glossary

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1.
AA Similarity Postulate: if two angles of one triangle are congruent to two angles of another triangle, then the triangles are congruent

2.
angle bisector theorem: If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle

3.
Arc Addition Postulate: The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs

4.
Area of a sector: area of a sector/area of entire circle=measure of a central angle/measure of entire circle

5.
Congruent Chord Theorem: If 2 chords are congruent then their corresponding minor arcs are congruent

6.
Congruent Minor Arc theorem: if 2 minor arcs are congruent, then their corresponding chords are congruent

7.
Congruent tangents Theorem: If two segments from the same exterior point are tangent to a circle, then the segments are congruent

8.
Consecutive angles Supplementary Theorem: If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

9.
Converse of Trapezoid base angles theorem: If a trapezoid has a pair of congruent base angles, then it is and isosceles trapezoid.

10.
cosine: adjacent leg/hypotenuse

11.
Diagonals Bisect Each other Theorem: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

12.
Diameter is Perpendicular Bisector Theorem: if a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc

13.
equidistant: when a point is the same distance from one line as it is to another

14.
formula for circumference: C=π×d

15.
If a polygon is equilateral and equiangular,: all sides are congruent and all interior angles are congruent

16.
If the scale factor is equal to one between two similar polygons,: then the second figure is equal to the first figure.

17.
If the scale factor is greater than one between two similar polygons,: then the second figure is bigger than the first figure.

18.
If the scale factor is less than one between the similar polygons,: then the second figure is smaller than the first figure.

19.
inscribed quadrilateral theorem: if a quadrilateral can be inscribed in a circle, then its opposite angles are supplementary

20.
interior angles of a concave figure: at least one angle measures more than 180

21.
Interior angles of a convex figure: all angles measure less than 180 degrees

22.
measure of an inscribed angle theorem: The measure of an inscribed angle is one half the measure of its intercepted arc

23.
Midsegment of a Trapezoid: longest side+shortest side/2= the mid segment

24.
The Midsegment Theorem: the midsgement of a triangle is parallel to the third side and is half as long

25.
Opposite angles Congruent Theorem: If a quadrilateral is a parallelogram, then its opposite angles are congruent.

26.
Parallelogram: a quadrilateral whose opposite sides are both parallel and equal in length

27.
perimeter of similar polygons theorem: If two polygons are similar, then the ratio of their perimeters is equal to the ratio of any pair of corresponding sides.

28.
perpendicular bisector: A line that is perpendicular to a segment at its midpoint.

29.
Perpendicular bisector is Diameter Theorem: If one chord is a perpendicular bisector of another chord, then the first chord is a diameter

30.
perpendicular bisector theorem: if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment

31.
polygon: a closed plane figure formed by three or more line segments

32.
Polygon Exterior Angles Theorem: The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360°.

33.
Polygon Interior Angles Theorem: The sum of the measures of the interior angles of a convex n-gon is (n-2) x 180

34.
polyhedron: when a solid is formed by polygons

35.
Quadrilateral Interior Angle Theorem: The sum of the measures of the interior angles of a quadrilateral is 360 degrees.

36.
Rectangle: a parallelogram with four right angles

37.
rectangle diagonals theorem: the diagonals of a rectangle are congruent

38.
Rhombus: a parallelogram with four congruent sides

39.
Rhombus Diagonals Perpendicular theorem: the diagonals of a rhombus are perpendicular

40.
right inscribed triangle theorem: if a triangle inscribed in a traingle is right, then the hypotenuse is a diameter of the circle

41.
SAS similarity Postulate: if two sides of one triangle are proportional to two sides of another triangles and their included angles are congruent then the triangles are similar

42.
Scale factor of similar polygons theorem: if there are two similar polygons, then the scale factors will be equal to the ratio of the perimeters.

43.
Similar Polygons: Two polygons whose corresponding angles are congruent and whose corresponding sides are proportional.

44.
similar Triangles: 1) Corresponding angles are equal

2) Lengths of corresponding sides are in proportion

2) Lengths of corresponding sides are in proportion

45.
sine: opposite leg/hypotenuse

46.
Square: a parallelogram with 4 right and angles and 4 congruent sides

47.
SSS similarity postulate: if the corresponding sides of two triangles are proportional, then the triangles are proportional

48.
tangent: opposite leg/adjacent leg

49.
Tangent Perpendicular to radius theorem: (Ch 10) In a plane, a line is tangent to a circle if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle

50.
Trapezoid: a quadrilateral with exactly one pair of parallel sides

51.
Trapezoid Base Angles Theorem: If a trapezoid is isosceles, then each pair or base angles are congruent

52.
Triangle proportionality theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally

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