Geometry Chapter 2 Test Review

A quadrilateral is a rectangle.
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Terms in this set (67)
A quadrilateral is a rectangle.
Name the hypothesis of the statement: If a quadrilateral is a rectangle, then it is a square.
It is a square.
Name the conclusion of the statement: If a quadrilateral is a rectangle, then it is a square.
Angles are complementary
Name the hypothesis of the statement: If angles are complementary, then they have a sum of 90.
They have a sum of 90.
Name the hypothesis of the statement: If angles are complementary, then they have a sum of 90.
a statement made by reasoning from examples
A conjecture is
definition of congruent segments
If segment AB is congruent to segment BC, then AB = BC.
reflexive property
AB = AB
symmetric property
If 6 = x, then x = 6.
transitive property
If a = b, b = c, then a = c.
definition of congruent angles
If angle ABC is congruent to angle DEF, then their measures are equal.
Midpoint TheoremIf A is the midpoint of segment BC, then segment BA is congruent to segment AC.definition of congruent segmentsIf DE = EF, then segment DE is congruent to segment EF.definition of congruent anglesIf the measure of angle XYZ is equal to the measure of angle ABC, then angle XYZ is congruent to angle ABC.TrueTrue or false: Through any two points, there is exactly one line.FalseTrue or false: Through any three points, there is exactly one line.FalseTrue or false: Three points determine a plane.TrueTrue or false: Three noncollinear points determine a plane.TrueTrue of false: Two lines intersect at a point.TrueTrue or false: Two planes intersect at a line.FalseTrue or false: Two planes intersect at a point.TrueTrue or false: A line and a plane can intersect at a line or a point.TrueTrue or false: A line contains at least 2 points.FalseTrue or false: A line contains at least 1 point.TrueTrue or false: A plane contains at least 3 lines.Reflexive Property∠A ≅ ∠ASymmetric PropertyIf ∠A ≅ ∠B, then ∠B ≅ ∠A.Transitive PropertyIf ∠A ≅ ∠B, and ∠B ≅ ∠C, then ∠A ≅ ∠C.SubstitutionIf m∠A= m∠B, and m∠A = 4x and m∠B = 6x - 3, then 4x = 6x - 3Supplement TheoremIf two angles are a linear pair, then they are supplementary.Complement TheoremIf two angles form a right angle, then they are complementary.definition of complementary anglesTwo complementary angles have a sum of 90.definition of supplementary anglesTwo supplementary angles have a sum of 180.Congruent Complements TheoremIf ∠A and ∠B are complementary, and ∠A and ∠C are complementary, then ∠A ≅ ∠CCongruent Supplements TheoremIf ∠A and ∠B are supplementary, and ∠A and ∠C are supplementary, then ∠A ≅ ∠CVertical Angles TheoremIf two angles are vertical, then their angles are congruent.four right anglesTwo perpendicular lines that intersect formcongruentAll right angles areeach angle is a right angleIf two angles are congruent and supplementary, thenAngle Addition PostulateIf R is in the interior of ∠PQS, then m∠PQR + m∠RQS = m∠PQSdefinition of congruent segmentsIf segment AB is congruent to segment BC, then AB = BC.reflexive propertyAB = ABsymmetric propertyIf 6 = x, then x = 6.transitive propertyIf a = b, b = c, then a = c.definition of congruent anglesIf angle ABC is congruent to angle DEF, then their measures are equal.Midpoint TheoremIf A is the midpoint of segment BC, then segment BA is congruent to segment AC.definition of congruent segmentsIf DE = EF, then segment DE is congruent to segment EF.definition of congruent anglesIf the measure of angle XYZ is equal to the measure of angle ABC, then angle XYZ is congruent to angle ABC.TrueTrue or false: Through any two points, there is exactly one line.FalseTrue or false: Through any three points, there is exactly one line.FalseTrue or false: Three points determine a plane.TrueTrue or false: Three noncollinear points determine a plane.TrueTrue of false: Two lines intersect at a point.TrueTrue or false: Two planes intersect at a line.FalseTrue or false: Two planes intersect at a point.TrueTrue or false: A line and a plane can intersect at a line or a point.TrueTrue or false: A line contains at least 2 points.FalseTrue or false: A line contains at least 1 point.TrueTrue or false: A plane contains at least 3 lines.p -> qConditional statement: symbolsq -> pConverse statement: symbols~p -> ~qInverse statement: symbols~q -> ~pContrapositive statement: symbolsIf p, then q.Conditional statement words:If q, then p.Converse statement words:If not p, then not q.Inverse statement words:If not q, then not p.Contrapositive statement words:An example that proves a statement to be not true.Counterexample