Chapter 2 Concepts Flashcards
Conditional States is false ONLY WHEN…
the hypothesis is true and the conclusion is false.
If a=b, then a+c=b+c
Addition Property
The … is the statement formed by reversing the hypothesis and conclusion.
converse
A … is a statement that can be written in the form of “if p, then q”
Conditional statement
If a=b, then a-c=b-c
Subtraction Property
If a=b, then ac=bc
Multiplication Property
If a=b and c /= 0, then a/c=b/c
Division Property
a=a
Reflexive property
If a=b, then b=a
Symmetric Property of Equality
a(b+c)=ab + ac
Distributive Property
If a=b and b=c, then a=c
Transitive Property
If PQ = RD, then segment PQ is congruent to segment RS.
If segment PQ is congruent to segment RS, then PQ = RS
Definition of Congruent Segments
If the measure of angle ABC = the measure of angle DEF, then angle ABC is congruent to angle DEF
If angle ABC is congruent to angle DEF, then the measure of angle ABC = the measure of angle DEF
Definition of Congruent Angles
If T is the midpoint of segment CE, then segment CT is congruent to segment TE
If segment CT is congruent to segment TE, then T is the midpoint of segment CE
Midpoint definition
If ray TP is the bisector of angle RTE, then angle RTP is congruent to angle PTE
If RTP is congruent to angle PTE, then ray TP is the bisector of angle RTE
Angle bisector Definition
If an angle is a right angle, then it measures 90 degrees
If an angle measures 90 degrees, then it is a right angle
Right Angle Definition
If angle BFC and angle CFD are complementary, then the measure of angle BFC + the measure of angle CFD = 90
If the measure of angle BFC + the measure of angle CFD = 90, then angle BFC and angle CFD are complementary
Complementary angle definition
If the measure of angle AFB + the measure of angle EFB = 180, then angle AFB and angle EFB are supplementary
If angle AFB and angle EFB are supplementary, then the measure of angle AFB + the measure of angle EFB = 180
Supplementary Angle Definition
AB + BC = AC
Segment Addition Postulate
The measure of angle PQS + the measure of angle SQR= The measure of angle PQR
Angle Addition Postulate
If, angles 1 and 2 are supplementary, and angles 2 and 3 are supplementary. THen angle 1 is congruent to angle 3
Congruent Supplements Theorem
If angles 1 and 2 are right angles, then angles 1 and 2 are congruent
Right Angle Congruence Theorem
If angles 1 and 3 are complementary and angles 2 and 4 are complementary. Then angles 1 and 2 are congruent and angles 3 and 4 are congruent.
Congruent Complements Theorem
If AB = CD, then AC = BD
Common Segments Theorem
If AC = BD, then AB = CD
Converse of Common Segments Theorem
If angle AXB is congruent to angle CXD, then angle AXC is congruent to angle BXD
Common Angles Theorem
