Identifying properties, definitions, postulates, and theorems

GeometryGeometryIntroduction to Deductive Reasoning

Number 2Number 2

If AQ + QT = AT, then Q is between A and T

Number 4Number 4

If t bisects XZ,

then Y is the midpoint of XZ

tt

XX ZZYY

Number 6Number 6

If AR bisects SQ, then AR intersects SQ at the midpoint of SQ

Number 7Number 7

If RS = PQ, then RS PQ

Number 9Number 9

If M is the midpoint of AC, then AM MC

Number 13Number 13

If m 7 = 90, then

7 is a right angle

Number 14Number 14

If m B = 180, then

B is a straight angle

Number 17Number 17

If A is an acute angle,

then mA < 90

Number 19Number 19

If mY > 90,

then Y is an obtuse angle

Number 20Number 20

If mP = mQ,

then P Q

Number 23Number 23

If FG is in the interior of PFQ, then

mPFG + mGFQ = mPFQ

Number 24Number 24

If RT bisects ORB,

then ORT TRB

Number 25Number 25

If 1 and 2 form a linear pair,

then 1 and 2 are supplementary

Number 27Number 27

If 1 and 2 are supplementary,

then m1 + m2 = 180

Number 28Number 28

If m5 + m6 = 90, then

5 and 6 are complementary

Number 31Number 31

If 3x = 12, then x = 4

Number 32Number 32

If mK = mJ,

then 2mK = 2mJ

Number 33Number 33

If x = 5, then x + 3 = 8

Number 34Number 34

2(4x + 5) = 8x + 10

Number 37Number 37

If AB + BC = AC, then AB = AC - BC

Number 38Number 38

If PQ + RT = XY and RT = 7, then PQ + 7 = XY

Number 41Number 41

AB = AB

Number 42Number 42

If AB = CD, then CD = AB

Number 43Number 43

If AB = RS, and RS = CD, then AB = CD