Geometry Midterm Review PDF

Geometry Midterm Review Point * Line * plane * ray * segment * collinear * angle * acute angle * right angle * obtuse angle * straight angle * supplementary angles * complementary angles * linear pair * vertical angles center * radius * diameter * chord isosceles triangle * scalene triangle * equil...

Geometry Midterm Review Point * Line * plane * ray * segment * collinear * angle * acute angle * right angle * obtuse angle * straight angle * supplementary angles * complementary angles * linear pair * vertical angles center * radius * diameter * chord isosceles triangle * scalene triangle * equilateral triangle * right triangle * obtuse triangle * equiangular triangle * acute triangle Point Point A Line Plane Plane ABC Ray Segment Collinear Points on the same line Angle Two rays with a common endpoint Acute Angle Right Angle Obtuse Angle Straight Angle Supplementary Angles Two angles whose measures have a sum of 180 degrees Complementary Angles Two angles whose measures have a sum of 90 degrees Linear Pair Two adjacent angles that are supplementary Vertical Angles Center Radius Diameter Chord Isosceles Triangle Scalene Triangle Equilateral Triangle Right Triangle Obtuse Triangle Acute Triangle Equiangular Triangle A. undefined terms two-column proof B. addition property of equality * subtraction property of equality * Multiplication property of equality * division property of equality * distributive property * reflexive property * symmetric property * transitive property * substitution property Undefined Terms point, line, and plane Two Column Proof A deductive argument containing statements and reasons organized in two columns. Addition Property of Equality If a = b, then a + c = b + c. Subtraction Property of Equality If a = b, then a − c = b − c. Multiplication Property of Equality If a = b, then a ⋅ c = b ⋅ c. Division Property of Equality Distributive Property a(b + c) = a ⋅ b + a ⋅ c. Reflexive Property For all real numbers a, a = a. Symmetric Property For all real numbers a and b, if a = b, then b = a. Transitive Property For all real numbers a, b, and c, if a = b and b = c, then a = c. Substitution Property For all real numbers a and b, if a = b, then a may be replaced by b. Counterexample An example or case that proves a conjecture or theory wrong * midpoint congruent bisect bisector of an angle Midpoint The point on a segment that divides it into two congruent segments. Congruent Figures with the same size and same shape Bisect To divide into two equal or congruent parts Bisector of an Angle Pythagorean Theorem parallel transversal same-side interior angles alternate interior angles alternate exterior angles * corresponding angles perpendicular perpendicular bisector Parallel Lines that do not intersect Transversal Same-side Interior Angles Alternate Exterior Angles Alternate Interior Angles Corresponding Angles Perpendicular Lines that intersect to form right angles. Perpendicular Bisector  transformation pre-image image rigid motion translation directed line segment rhombus reflection line of reflection reflectional symmetry line of symmetry rotation rotational symmetry angle of rotational symmetry Transformation A change in the position, size, or orientation of a figure pre-image The original figure prior to a transformation. image The resulting figure after a transformation Rigid Motion A transformation that preserves size and shape. Directed line segment The distance and direction of a translation. Translation Rhombus Reflection Line of Reflection Reflectional Symmetry Line of symmetry Rotation Rotational Symmetry Angle of Rotational Symmetry  congruent corresponding parts CPCTC Corresponding Parts CPCTC Corresponding parts of congruent triangles are congruent triangle congruence criteria SSS * SAS * ASA * AAS * HL Triangle Congruence Criteria Shortcuts for determining if two triangles are congruent SSS SAS ASA AAS HL Triangle Sum Theorem auxiliary line Isosceles Triangle Theorem Triangle Sum Theorem The sum of the measures of the angles of a triangle is 180° Auxiliary line A line (or ray or segment) added to a diagram to help in a proof or in determining the solution to a problem. Isosceles Triangle Theorem If two sides of a triangle are congruent, then the base angles are congruent.