Geo Flashcards for quiz

Question 1

Congruent Compliments theorem

Answer 1

If two angles are complementary to the same angle, then they are congruent (ex: if <4 is complementary to <5 and <5 is complementary to <6, then <4 and <6 are congruent.)

Question 2

congruent supplements theorem

Answer 2

if two angles are supplementary to the same angle, then they are congruent. (ex: if <1 is supplementary to <2 and <3 is supplementary to <2, then <1 and <3 are congruent.)

Question 3

linear pair postulate

Answer 3

if two angles are a linear pair then they are supplementary (ex: <1 and <2 form a linear pair, so <1 and <2 are supplementary and m<1 + m<2 = 180)

Question 4

vertical angles congruence theorem

Answer 4

vertical angles are congruent (ex: <1=<3, <2=<4)

Question 5

definition of congruent angles

Answer 5

angles are congruent if and only if they have the same measure. if two angles are congruent, then they have the same measure. if angles have the same measure, then they are congruent.

Question 6

definition of angle bisector

Answer 6

an angle bisector divides an angle into two equal parts

Question 7

definition of complimentary angles

Answer 7

if 2 angles are complementary, then they did up to 90 *

Question 8

definition of supplementary angles

Answer 8

if 2 angles are supplementary , then they add up to 180*

Question 9

definition of perpendicular lines

Answer 9

perpendicular lines for right angles. if 2 lines are perpendicular, then they form right angles

Question 10

definition of a right angle

Answer 10

if an angle is a right angle, then it is 90*

Question 11

angle addition posulate

Answer 11

m<ABD + m<DBC = m<ABC

Question 12

linear pair postulate

Answer 12

if two angles from a linear pair, then tehya re supplementary.

Question 13

vertical angles theorem

Answer 13

if two angles are vertical angles, then they are congruent.

Question 14

right angle congruence theorem

Answer 14

if two angles are right angles, then they are congruent.

Question 15

congruent complements theorem

Answer 15

if two angles are complementrary to the same anglem then they are congruent.

Question 16

congruent supplements theorem

Answer 16

if two angles are supplementary to the same angle then they are congruent.

Question 17

converse

Answer 17

flipping

Question 18

bioconditional

Answer 18

IFF (if and only if)

Question 19

inverse

Answer 19

negative

Question 20

contrapositive

Answer 20

flip+negative

Question 21

definition of congruent segments

Answer 21

segments are congruent if and only if they have the same measure. if segmnets are congruent then they have the same measure, and if the segments have the same measure then they are congruent.

Question 22

definition of a midpoint

Answer 22

the midpoint of a segmnets divides the segment into 2 equal (congruent) parts. if M is the midpoint of AB, then the segment is divided in 2 equal parts.

Question 23

definition of a segment bisector

Answer 23

the bisector of a segment divides the segment into 2 congruent parts.

Question 24

segment addition postulate

Answer 24

if A,B,and C are collinear points, and B is between A and C, then AB+BC=AC

Question 25

properties of equality

Answer 25

Addition POE
Subtraction POE
Multiplication POE
Division POE
Substitution POE

Question 26

properties of equality (special)***

Answer 26

Reflexive POE- mirroring A=A

Symmetric POE- a=b then b=a

Transitive POE- if A=b and b=c, then a=c

Question 27

properties of congruence (only use congruent symbols)

Answer 27

Reflexive POC- mirroring A=A

Symmetric POC- a=b then b=a

Transitive POC- if A=b and b=c, then a=c

Question 28

other property

Answer 28

distributive property

Question 29

right angle congruence theorem

Answer 29

all right angles are congruent